SCIENTIFIC ABSTRACT KLIMONTOVICH, YU.L. - KLIMOV, A.I.

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• Collection: Scientific Abstracts
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• Document Creation Date: November 2, 2016
• Document Release Date: September 18, 2001
• Sequence Number: 11
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

KL IM 6 PiTOV I Q t1 I ~/C, L-
AUMOR UIXONTOVICE.YS.L.0 TSWOOS.Y. 56-7-19/66
TITLZ I Roan sun Axnallo squation for a Plasma in Consideration
at Correlation,
(Kyantovoys kinotiaheskoye uraynezilp dip pUM a
uabstom korrelyatsli#- Ruselan)
PERIODICAL
I
Zhurnal. Eke *rim., A Teoroto Tisiki 19579 Vol 33, Nr 7.
PP '132-134 TU
SSR).
ABSTRACT According to BQOOLYUBOV 11.11, the solution of the equations
for the density "trix (and correspondingly also for the
quantta-liko distribution function) can be reduced to the
solution of the squationstor the quantum-like funotion ?
a
with classical boundary canditiones
liars t. 0 ralps Is trus-# where r. denotes the operator
of the symastrisation for a partial*@. Par slatema with
control Interaction the equations for 7 and, 7 are here
l
t
explicitly written down. By confining a
eself
o pairwist
Gorrslati6not

can be set up and an analogous expression Is obtained for
CARD 1/3 7V In the *as* of weak Interaction the funation g to small

A Quantum Kinetic Squation for & PUSS& In
Consideration of correlation. %4_19/66
oomp&rod, to the first term.
in the *as* of shortrange forces and in a domain In which
,pair Interaction suffloses a kinetic equation for the
quantua-like distribution function Is obtained. ThIs
kinetic equation-oorresponds to-the equation for the density
matrix which was derived by BOOOLTUDOT and CIMM.
The prosent,paper Investigate* the flret-aentlanod
equations for 7 and 7 only for systems of particle# with
or" I
nt 'I on. Reas, equations are speolalls 4 here
for tho.following case:-The Interaotion Is weak and the
oorroUtion,rAdinso which Is due to exchange Intersationt
to nailer than the correlation radius of the ONLOMB
in 4rao,lion r,# The equations derived here at % 4 Ogo
over Into tbo.equations oantained in � ii of the well-known
monograph by DOCOLMOT (Problomy dinastahookoy theoril v
statistlabookoy fisike a Problems of Dynamical Theory In
Statiatioal Physics# Oostekhtsdato 1946)o Pros the
equations derived bore the quantua-liko kinetic equation
for th*.funotlou 7,(pit) Is obtained by means of a trans-~
formation and Is wtitten down explialtly. In conclusion
CAU 21~ some special, fts*s are pointed out In short,

MIXORrOVICHO Yu. L.
"Lose of Energy of Charged Particles on Excitation of a Plasm."
"The Theory of Nonlinear Plasm& Osellallations."
paper presented at Second All-Union Conference on Gaseous Blectronicso Vloscovp
2-6 oct 158.

K~jmoAlTovlc,H,
AUTHORi
TITIZS
PZRIODICAL#
ABSTRACTs
Card 1/ 3
Klimontoviohp Yu. L.
On the Space-Time Correlation Functions of a System of
Particles With XlectromagnatioInteraction (0 prostranstrenna-
-yr*aennykh korrelyatsionnykh funktalyakh sisteny chsattke a
elektromagnitnym Ynalmodeystviyea).
Zhurnal. Eksperimentallnoy i Tooretiahookoy Fi2ikll 19509
Vol# At Xr 1, pp. 173-105 (USSR)#
The present paper determines a closed system of approximate
equations for the spatial-temporal correlation functions of
a xyst6m of particles with electromagnetic interaction,, Its-
f*r9nos to made to papers dealing with the same subject* In &
preliminary paper (r#fersnos 6) the author dotemined a chain
of equations for the many-time propagators for a system of
partioles with central interaction. the present paper uses this
method for the Investigation of the spatial-temporal corr*lat-
ton functions for a system of particles with electromagnetic
interaction in classical treatment, first the Hamiltonian Of
& classical exatem of N charged partiol*s to written down* On
that oocasion the Coulomb calibration was selected in which
the Coulomb interaction between the partioles can Immediately

On the Spaos-Time Correlation Functions of a System of 56-1-25156
Particle& With Electromagnetic Interactions '
be sliminatods In this connection It is also assumed that the
charge of the electrons can be compensated by the positive
charge of the uniformly distributed ions. A random function
in here used in the calculations, A Hamilton equation for the
.particles and for the variables characterizing the field is
derived# The course of the calculation is followed stop by
step, The author also investigates the case that a stationary,
homogeneous random process takes place In the system of the
particles with electromagnetic iAtoraotion. Immediately from
the theorem of Obukhoy follows the separatioa of the correlet-
Ion function of the currents Into a vortex component and into
a potential component, Then the author determines equations
for the second moments and Investigates the solutions of these
equations, In the fourth section exproselons for the spatial-
-temporal correlation function of the vector potentials are
determined. The microscopic method for the solution of this
problem makes It possible the determination of an explicit
expression for the dielectric constant. Farthermore more
general expressions can be derived by It which are also correct
in the presence of a spatial dispersion. The method discussed
Card 2/3 bore is suitable for the investigation of a system, quantum-

On the-Spece-Time Correlation Functions of a System of
Pirticles With Electromagnetic Interaction.
-likeg of partial*# with electroaagnotio Interaction and for
a system of electrons whiab interact with the vibration of,
a lattices There are 14 rof*renoes# 14 of which are Slavic*
ASSOCIATIM Mucow Stals Ud"relty (Mookovskiy goeudarstyennyy urivsrsi-
tet).
SUBMITTEDs July 170 1957
AVAILMSt Library of Congress
Card 3/3
'A R
N
&M ~QMK U

24(5) 30V/~)(-35-c- 12/56
APTHORS: Klimontoviohp Yus L~# Teako, S. V.
.,MLE: Equatlons of Notion of Particle Syntets Which Are In
O~n
Interaction With Lattice Oscillations (0 kinetiche9kikh
oraynenlyakh dlya sistem chnatits, vzalmodaystvuyushchikh a
kolabanlyaml reshetki)
rF.nIODICAL* Zhurnal eksperimentallnoy i tooraticheskoy fiziki, 1959,
Vol 35, Mr 5, PP 1141-1147 (11M)
APSTRAM The autbors of the present paper 4erive the equations of
notion for electrons and cryotal lattice oscillators by
tho -Aethod developed by bo;-,olyubov (Refs 1, 2). In conn*c-
tion with the papers by DArdeen, Coiper 4n4 Schriffer
(UrJin, Xuper, Shriffer) (Ref 3) an--I !~O!.FIlYulbov (-Ref 4) on
auperconductivity, an inveatiration .,f 14ttice o3cillation
of interacting electron sy3teus appears to be of Interest,
3uch an invostigation has alreaJ;r been carriei out for the
.Spatially homogensouo case (Refs 5# 6); in the homogeneous
space the electron distribution function in equal to the
equation of notion in Bloch's (rlokh) conluctivity theory.
The authors of this paper derive a classical approximation
Card 1/3 for the equation of motion for Inhoriogemus electron- and

SOY/56-35-5-i2/56
On Equations of Motion of Particle Systems Whbh Are in Interaction With
Lattice Oscillations
oscillator distribution, which has the shaps of a Pokker-
Planck (Plank) equation in phase space. Also for the correspond-
Ing inhomogensous quantum distribution function an equation
of motion to derived. A Hamiltonian to used as a basis which
in not up according to Froehlich (Frolikh)(Rof 12) for the
electron system interacting with the crystal lattice oscilla-
tiona. Herefrom a distribution function is derived In the
coordinates and moments. of the electrons and oscillators.
The system of approximation equations in not up according to
Bogolyubov and Guroy (Ref 2)9 and solutions are derived. It
in shown that the general form of the electron distribution
functiong if nihomog*neous distribution of exchange terms is
aesumadp goes over into terms corresponding to those of
Bloch's theory (Refs 9t 11). Also the equation (average) 4s-
9cribing the crystal lattice oscillations in written down
for the case of homogeneous electron distribution. Expressions
have alno been derived for the frequency and the damping
decrement of oscillations. The authnre finally thank lcaiedcian &N.
Card 2/3 Dopolyuboy and.Do S. Zubarov for discussing the work. There

SOV/56-35-5-12/56
On Equations of Motion of Particle Systems Which Are in Interaction With
Laitice'Osaillations
are 12 references# 9 of which are Soviet.
ASSOCIATION: Moskovakiy goeudaretyennf universitet
(Moscow state Univeralt
SUBMITTED: March 3, 1950 (initially) and Jul.~ 39 1958 (after revision)
Card 3/3
1Z
~

2117) 3OV/56-35-5-31/56
)JhHOR: Mmontovich, Tu# L,
of Varticl*e#
on a Possible Statistical Description of a System
Which Are in Interaction With a Pield (0 vozmozhnom statisti-
choskom opinanti sistem chastits, vzainoloyetvuyushchikh a
Polem)
PERIODICAL: Zhurnal eksporicentaltnoy I tooretichaskoy fizikil 15589
Yol 35, 1(r 5, Pp 1276-1277 (USSR)
ABSTRACT., The present paper discusses %be equations of motion tor
systems of electrons ani oscillators with transversal slactro-
ma n-
stic field for the purpose of investigatinC the problem
of the emission of electromagnetic waves by charged particles
iri dielectrics and in dec*2*W.Lig media. The chareo of the
electrons to assumed to be compeiileijted by a uniformly smeared
out positively charged backrround. The state of.the system
under Inventigation is Jetermined by the coorlinates and moments,
of the electrons an well as by the coorJinates and moments of
thelfield oscillators with differont wave numbers k. Also a
distribution function Is Introduced, which determines the
Card 1/3 of the various ataten of the system. For the

1OV/56-35-5-31/56
On a Possible Btatistical Description of a System of ?articles Ihicb Are
In Interaction With a Pield
purpose of obtaining the equ4,tions of notion of the first
distribution functions rIRJN0 of the electrons and of the
first distribution functions F I(Qk,Pk;t) of the field os-
cillators a corresponding chain of equations is set up# by
which the distribution functions of vnrlous orders are con-
nected. The higher distribution functions are approxicated
by the lowerones as in the paper by 4ogolyuboy and Gurov
(Ref 2)* If the initial distribution of the field oscillators
corresponds to equilibrium, ani If the st.,te of the electrons
is near equilibrium, an equation of the Fokker-rlanck (Plank)-
type in obtained In the pliese space for the distribution funo-,
tion fl. Title (rather volumino~~s) equation is explicitly ,
written down and explained. Certain coefficients occurring in
thin equation are different from zero only If the condition
of Cherenkov radiation Is satisfied. In the case of equilibrium#
Vile equation satisfies the Waxwell (Makevell)-condition.,If,
in the initial state, the electrons are in equilibrium, and
Cord 2/3 if the otate of the field oscillators in near equilibrium, an

-XV15r-3 5-5- 5 1 /56
on a Possible Statistical Description of a 3yater. of Prticles,Which Are
In !nteraction With a Field
equation of the ?okker-11anck t~rpe in obtained In the phase
space of' the cooriinalwei and momenta of t1to field oscillators
for the orcillator distribution functJons. The solution of
this equation corresponding to equilibrium is written down&
Ily means of this equation, an equation for the oscillator
.coordinates to then obtainod. The authors further Inve,.tigated
the more j U
,uneral case In which none of the stibsyitems (also-
trons and eloctromarnetic oscillations) are in a atate of
thermal equilibrium. The results obtained na�f he unal for the
puryoso of In%rai.-tiggating the emisvion of electron beams passing
throu:Th slowing-down oysters. The author thanks 1f. ff. Rogolyubovo
Actulomicianj for the interest be Ila-,lajed in this works There
are 4 references, 3 of vWch are Soviet.
ASSOCIATION: goakovnkiy gosudarntvennyy universitet (Moscow State University)
SUBMITTED: April 11, 191JO (initially) and July J', 11,5! (after revision)
Card 3/3

per

21(7)
AUJINOR s Ilisontovich, Yu. L. soy/56-36-5-15/76
TITLEs The Enerey 14osees of ftafted PkAlaloa Ode 16- Witation of
Plasms OsoU3AtlVdx - (Poteri snorgii saryazhewkykh
chastits ns vo%bUShdonlys kolobaniy Y plazas)
PERIODICALs Zhurnal okeperimentalluojr I tooretichookoy fisiki, 1959,
Vol 36s Wr 5# pp '405-108 (VSSR)
ABSTRLCTs When calculating the energy losses of electrons moving In
16 plasma such losses as are due to short-range int*r&ctions
(oleatron-slactron collisions) are usually investigated
separately from those occurring as a result of plans,
oscillation excitation. This practice was followed also
in this case. 7or short-rang* interaction 7 i_ (,Wj/v.)2ln(rd/&)
Is set up for the damping force# and for long-r&Age
interaction F2 - (owL/vO)2ln(v./Yr) is sot up* Here s
denotes the electron chargej W L - Langauir fr*quencys
v ,- electron volocityo a a e 2/mv2, r
0 0 d Debye distances
Card 1/3 The energy losses occurring as result of these two effects

The Energy L04148 of MOW Partlass Qje r~jb
Excitation of Plam OsciUstiou
are thus of the same order of magnitude. At certain
conditions the energy transfer of nonequilibrius electrons
on plasma electrons takes place at distances which are
considerably smaller than the relaxation lengths, which
are calculated by means of the F, 2-formulas, Tno.existenc*
of this effect (Lussuir #~;*ot) :how@ that the problem
of electron deceleration can not bd solved for all *&sea
on the basis of the equation of motion Investigated In the
first part of this paper. It must be assumed that the state
of the electrons in the plasma as well as that of plasma
oscillations may assume equilibriump a condition which Is
no longer satisfied already at greater concentrations of
nonequilibrium electron:$(:) S. in the case of an electron
beam penetrating the pl 2 o For such cases a system of
nonlinear equations describing a beam + plasma is sot up
and solved in the second part of this p*per. The boas
electrons and the plasma oscillations or* considered to
be two sub-oystems* Investigation by means of the equation
Card. 2/3 of motion furnishes an expression for the damping force#

The Energy loosses of Obongal PartItUs Oo tm. 7,1 SOT/56-)6-5-15/76
Elaitatfon or Pluft 08012"Iticas
which takes the energy losses due to oloctron-olootron
collisions as wall as such due to the excitation of
plasma oscillations Into account. lit the &or* general
case# In which neither of the two sub-systems must be
in thermal equilibriumt solution of the system of equations
for the bean electron distribution function and the.*lectria
potential supplies an explanation for the rapid energy
transfer from be" electrons to plasms, *l*otronsq such
was observed for the first time by Langmuir. The author
finally thanks Academician No 1. Bogolyubov and 2, V.
Rhakhlov for their valuable advice and interest In this
works There are 22 refortnosag 16 of which are Boviste
ASSOCIAT109 Moskovskiy gosudarstvennyy univorsitst (Moscow state
University)
October 10j 1958
Card

.34(5),, 21M
AUTHOR; 111sontovichp Yu. L, 301/56-37-3-22/62
TITM Relativistic Squations of Xotion for a Plasma I
PERIODICALt Zhurnal okeparimentallnoy I toorotlahoskoy f1s1k1t 1959#
Vol 37# Ir'3(9)t pp 735 - 744 (USSR)
ABSTRAC?t Whereas it is possiblep In the nonrolativistic rang*# to,work
with Bogolyubovis approximation method (Ref I)o there "0
various approximation possibilities In the relativistic *"*
for the distribution functions and for obtaining oquetions. of
motions the equation with the 0*1foonolatent fi*ldp the Yokker-
Planck equations the equation of motion in consideration of
radistiont atoo The present paper Is intended to investigate
these probleass Desides:tho -author (Ref 2) onlz few people
bay* hitherto occupied themselves with the relativistic equa-
tion of notion In plassat s,song others also Belya ev w%d Budker
interaction, Undauts equation of notion5l as well as
At A* Vlasov, The author himself derived the equation of notion
for the distribution functions of charged particles In the
electromagnetic field in reference 2. He set up the relativistic
dispersion,oquation for transversal and longitudinal waves In
Card 1/3 selfoonsistent approximation for-the distribution function of

Relativistic Xquations of Notion for a- Pl" I sor/56-37-3-2Z/62
the eight variabl*s, &n& derived the relativistic equation
-for the quantum distfileation function for scalar charged
partioles and sloctrous, and also the relativistic quantum
equation with selfoonsistent field for scalar charged particles,
In the present paper the interrelation between the definitions
of state probability and distribution function is investigated
by using the previously obtained results on the basis of the
equation of notion for charged particles in an external elso-
tromagnstio field, A -random function Is Introduoedq which d*-.
fines the number of particles in a phase space cell; the elec-
tromagnetic field strength or number of oscillators are also
considered as random functions. The equation set for theme
functions my be used ast basis for the deduction of the
equation chain relating to the moments of the random functions
or the corresponding distribution functions of various orders*
A set of relativistic selfconsistent equations has been derived
by approximating this equation chain* In the last part of the
paper relativistic expressions are derived for the dispersions
of longitudinal and transversal plasma waves in approx4sation
of the selfconsistent field. The author thanks Academician
Card 2/3

83731
9/0
56J60/038/004/024/048
B006/0056
AUTHORo _Xlinontoviahp Tu. L.
TITL31 A Relativistic Iquation of Notion for Plasaa.,11
PERIODICAW Zhunal eksperimontallsoy I toorstloho:koy fisikip 19600
Vol. 38P No. 4, PP. 1212 - 1221
TXXTs The present paper Is the-Immediate continuation of the earlier
paper mentioned under Set. 1. The results obtained by the latter are us*&
for the purpose of deriving a classical equation of notion for a plaaaa
in second approiination# which is the relativistic eaunterpartof the
equation obtained by No So Bogolyubov. (R*f * 3). A special came of such
an equation (without emission and pair-produotion being taken Into
account) was studied by S. T. Belyayev and 0. 1* Budk*r (Ref. 2)1 for
9--poo,the latter goes over into the equation by Ld. Da Landau (Ref, 4),
Firsts a kinetio equation takialLonly the retarded interaction of charged
particles into account (and neglecting emission *ffsots) is dorivedl for,
this purpose the author proceeds from equations (12) and (13) (of let. 1),
It Is shown that this equation In a special case is Identical with that
Card 1/2

83731
A RslatIviltic Zquation of Notion for *,Plas". 9/056j60/038/004/024/040
II BOO6/BO56
of Belyayev and Budker* Another possibility of deriving this r*lativistid
equation of motion is 'briefly discussed* la a second part of this papers
the relativistic equation of motion by Yokker-Planck Is Investigated#
taking the retarded Interaction of the particles and the excitation of
plow" oscillations by nonequilibrium charged particles into account. In
this case It is thus not assumed (like In the Fokker-Planck equation of
notion) that the number of fast (non-squilibrius) particles penetrating
the plessa Is very lowo Taking diffusion effects and the onission of
plasma waves Into mons%# the now islations are obtained. In a following
paper# the chains of relativistic equations bar* obtained are used for
the distribution functions for the purpose of deriving the equations of
notion In the presence of external fields, as w*21 as for obtaining a
hydrodynamic approxisation. the author finally thanks Acadentolan
__.N. N. Bogolyubov for his Interest and discussions. There ore
1i references& 6 Sovistg 2 US, and i British.
ASSOCIATIOXi Mookovskly gosudarstyennyy universitat (Moscow State
University)
SUBMITTEDs October 24, 1959
Card 2/2

,2 68697
AUTHORS., X1INo2tgvioh8 Lud 3111121 _14- P4_ S/05Y60/070/02/005/016
B006 B007
TITLE: The Spectra of Systems of InterAollnit PartioleA the
Collective Losses In the Passage of Charged Particle& Through
Matter
PIRIODICAL: Uspokbi fislabookikh nauk, 1960t Vol 70t Nr 2# pp 247-206 (USSR)
ABSTRACT; The present survey deals with twe essentially closely connect-
ad protl*vs: The spectra of collective *saltation* in systems
of interactins'partioless and the energy losses In the exalft-
tion of co2lootivo oscillations when charged particles pen*-
trate matter* In the case of a system or strongly Interacting
Particle# (liquidp solid# plasma# or nuclear matter) energy
levels and states for the system &a a whole say be investigat-
edl the Investigation of such level spectra lop In ltotlf~
rather oonplicaiodl the simplest case Is that of weakly ezolto
ad states# lot* of minor deviations from equilibrium, e.g.
ion oscillations relative to the lattice points in a crystal
(phonons). Phononst plassons and the like are called quast-
particles In quantum mechanical the momentum d*pendonco on its
Card 1/4 energy and the dependence of frequency on the wave number to

66697
the Spectra of Systems of interacting Particles 3/053J60/070/02/005/016
and the Collective Losses In the Passage of B006/BO07
Charged Particles Through Matter
in the following called excitation spectrum. Such excitations
occur as sound vav*s In s.ollds# as phonon-roton-excitations
in suporfluld helium, and as spin waves* The latter are an
.example of Does excitations occurring In a partial* system
concurring with Yorml statistics. The analogs. of the elementary
Rome excitations In classical physics are the ways processes#
as o*g. the propagation of longitudinal plasma waves. Paragraphs
3 - 5 of the present paper deal with the investigation of
excitation spectra In systems of charged particle*; the Invos-
tigation to based upon the equations of the quantum-distrlbu-
tion function (density satrix)dorived In paragraph 1. In p"&-
graph 6 the problem of energy losses during the passage of
fast charged particles through matter# which are due to the ex-
citation by collective osaillationsgis investigated, In mattorp
electromagnetic oscillations are excited whose spectra are
fixed by the dielectric constant of the sodium, The formulas
derived In paragraph 6 for the purpose of describing ths energy
losses do notq howoverg in all cases reproduce the experiment I
Card 2/4 results obtained# as# o.got not in the case of the Langsuir- a;/,
1 _F;'Q
'~ ~~ P ~, E..

6dW
The Spectra of Systems of Interacting Particles S/053/60/070/02/005/016
and the Collective Losses In the Passage of B0061DO07
Charged Particle* Through Matter
paradox. In order to be able to Investigate also such cases,
a further possibility was dealt with In paragraph 2# which sakes
it possible to investigate tb*4n*rgy losses of charged particles
passing through a plasnal this possibility Is based upon the
use of equations of notion which describe also the energy los-
ses of particles for the excitationof collective oscillations,
If the particles entering the plasma do not essentially influ-
on colts proportion# the expressions derived here for the stop-
ping power coincide with those of paragraph 6, This condition
Ing however# not satisfied when an Intense electron bean entors
the plasmat-and the system of zonliAear equations for the *I*o-
trons of the bean and those of the plasma must be satisfied
simultaneously. In paragraph 7 the solution of such a special
case is disousesdo The rtsultb obtained essentially describe
the conditions found by Langmuir. The individual paragraphs
deal with the following: Paragraph 1: Derivation of the equation
ror the quantum-d2strIbutlon function (Bose statiatica)t Para-
graph 2: the equation of notion for the quantum-distribution
function; paragraph 3: the spectra of collective oscillations
Card 3/4 In self-consiatent field approxiaationi paragraph 4: the Influence
.1100,0,,

68697
The Spectra of systems of Interacting Particles 5/053/60/070/102/005/016
and the Collective Losses in the Passage of Boo6/BO07
Charged Particles Through Matter
of the correlations of particles upon the spectra of collective
oscillations (microscopical observation nothod)l paragraph 5:
the Influence exerted by the correlations of particles upon the
spectra of collective excitation#. A phenomenological theory of
the Formi dogenerato electron fluid; paragraph 6; the losses
of charged partial** passing through matter, which are Interro-
lated with the excitation of collective oscillations in the no-
diunj paragraph 7: the nonlinear effects during the passage of
charged partiolosthrough a plasmas The following Soviet volen-
tists are mentioned: 1. No 89golyubov, Xj P. GurM
-L --D._&,sBdauj P. -A. Cherenkov, Po S, v -eynberso
A --51FZano 9 Tog L, F
D, So Zubarm To Us YeloonskIlp I# Is Golldnant To A ' Yoko
L--M., EE&nkq and Is Ye. Tam. There are 109 referencost 61 of
which are Soviets
Card 4/4

S"WONOVICHO R.L.; MMONTOVICH. Y-A.Lpp sinwhv" rod* odots, IIVANUSMW#N*Dop
red.; -tokbn. red.
(solmoted pmblM GODOOMIOg tb$ thdOry of nUatUatioU in r"I&
onclNe"I labrantp voyrom7 toorii fliuktuatsii v rMiotekbnib.
1404va,p Isd-vo Ngovetakoe radio,,v 1961. 557 p. (MIRA Us22)
(P4di*)

ILITMC~N~TOVIC~yu--L.i SIMs V.P.
Magnstftdrodymmics for & MnISOVOrml plasma without 00111SIMS"
Zhur. eksp# I toor. fig. 4o no.4:1213-1223 AP '61- (JaRA l4t7)
1. Mosk*vskiy goeudarstrennyy universitet i Fizicheskiy Institut
Imeni P.H. Lebodeva AN SM.
(Magnetchydrodynamies) (Plasma (Ionited gases))

5/056/62/042/001/043/048
B102/BIOS
AUTHORSi X11montovich, Yu. L.# Silin, Vs P.
TITUt Theory of fluctuations in particle distribution in a plasma
PERIODIC'Alst Zhurnal skeperimentallnoy I tooretichookoy fiziki, Y. 42,
no. i9 19620 286 - 298
TEXTs The correlations 6H aWao Val t) 6N6 (76, j~, V) of the phase
density functions MC, 6(i~ i(t)) 6(- - ' (t)) for quasi-*quilib-
PO pa
rium states of a collision-free plasma are calculated. quasi-equilibrium
me ans that the mean values of 0ado not change considerably at distances
of the order of the correlation radius and over periods of the order of
the correlation time. The method used has been developed by
Yu. L. Klimontovioh (DAN SSSRg 2-6# 43# 19541 ZhETP, 31# 982, 1957). The
equations for th 11 phase density fluotuations was used also by
B. B. Xadomtsey (ZhOTF9 Ili 943# 1957), The problem
wo p., (1))
Card
A
NP
4

S/056/62/042/001/0.43/048
Theory of fluctuations in particle ... 3102/BIOG
orbetter #&, #Ur, 0 to 1) #1. GGS 0. (1.3)
no dppdro 6NO
with 6N N is solved with.the Initial condition
-.9 -
69 r P 0 6N (Yo ?'# 0) for t a Ot
a a
6NO (rg. ps, 1) - Wo (Ps (0, 1, ps). R4 (0. 10 Pa. O)# 0) +
j y4xtgeyns ~dpdr, 1 x
+ j ~dow
OP V
x drexp (I (tat + kR, (0. 1. PSG 0))) ka/, (1SS A t, to))x
x dt'ex p (i (wt' - k R, (t" 0. P, 0))) 8 N, (P, r,, 0).
These solutions are used to calculate the mean values of products of an
arbitrary number of fu notions 6M.4 This Is done for
CrArd 2/5

t?
3/056/62/042/001/043/040
Theory of fluctuations In particle ... B102/B108
dw dk ex p i (ol - k (r. - r#))) (W. (p.) 6,va w), (2. 1)
(6ma (P.) 6N0 (PODI.I., Ik (P.-PO "141, (pp)-j- n*nA0*rAk.ps.ps)-
We
n, k $#pro +J~dpv '74"400-40 0. P'. PA (2.2)
OP#gt')(*.k Lw-kvO+1S w-kvT+ta
The Fourier component of the binary correlation function is
Ued to
jk
(2-3)
k dp x
k + (k
jo~ 44-) k) PIP F
and can be represented through oharge fluctuations
Card 3/5

3/056/62/042/001/045/048
Theory or fluctuations in particle B102/BIOS
1 Of 'r J/ 11
if. k
_j tk ~'-.)(k 01-1) (apaor-I.- ki, - 12.121
ki op, - , ~~- f
These charge fluctuation functions ar*,also used to express the re-
maining correlation functions* The functions
6N t) 611,,(' 0) are determined for a plasmia, in a constant
P~
and uniform magnetic field. The formulas derived are applied.to the
investigation of an equilibrium plasma, with Uaxwellian distribution
functions fa(IT,.). A. 1. Akhiyezer, 1. A. Akhiyezer and A. G. Sitenko
(ZhF.TF, LM4, 1961) are mentioned. There are 0 referencess 5 Soviet
and 3 non-Soviet. The two references to English-language publications
read as followas J, Hubbard, Proc. Roy. Soo. A26o, 114, i96ij
R. Balesou, H, Taylor* Phys. of fluidet A, 850 1961.
Card 4/5

34019
3/056/62/042/001/04.R/048
rhOorY of CAuctuations in Particle B102/B108
AS30CIATIONs Moskovskly gosudaretvonnyy unirereit*t (MOSCOW state
University) Fix1cheskly Institut Im. P~ N~ Lobedeva
Akademil.nauk SSSR (Physics Institute Iment P., N. L,,~bolov
of the Ac6domy of Soionc**, USSR)
SUBMITTED: August 51, 1961
Card 5/5

39W
3/056/62/043/001/022/056
B102/BiOS
j o
AUTHORi: Klizontoviohs Yu, L., Ebolingp V.
TI'Alxt Hy~rodynamic description of the motion of charged particles
in a weakly ionized plasma
PZRIODNALs Zhurnal
no, ):ksparimentallnoy i tooratichookoy fisiki, v. 011
1962o 146 - 152
MTs A weakly ionized plasma is considered 'whose oscillation frequency
is smaller or of the order of the collision frequ tney -v t 4a L-4~ v and
a2/rdkT. In this case the hydrodynamic equations can be ob-
tainod by a mothod described by Born and Oroon (Proo. Boy. Boo. 1680 100
1946) or from the equations for random phase densities (Klizontovich,
ZhETF, 33, 982v 1957). The latter method is used hors, It leads to a
system of equations which unlikoo/the usual hydrodynamic equations contain*
also an equation for the spatial correlation functions* This system can be
uood for describing non-oquilibrium processes also if variationswith time
of the spatial spectrum predominate, and if mean velocity and density Are
Card 1/2

s/o56/62/043/001/022/o.56
i;ydrodynamic description B102/B108
virtually constant. The effect of weak ionization Is explicitly described
for thlo case that 9 and T of the neutral particles are constant, the r.*&n
is volocity zero and the momentum distribution is almost :Zaxwellian. The
rolations obtained are used for describing a homogeneous electron plasma
with 0 and a homogeneous waskly -ionized plasma in a weak va
riable
field Z E o lso the case ~f a uniform randca. d L is considera,'
0 .fial . 0 In
2 0.
assumin3 that the moan value of Z be zoroq whilst E
0 0
AssOCIATIONt Moskovskiy gosudarstyannyy univorsitet (1:03cow State Universi-
ty)
;AB'%*1TTZD i January lit 1962
Card 2/2

3/020/62/144/005/005/017
WVW04
-2 0. 6 '7 /a~
":;T Klinontovic. ru.-L.
T 1 T 'Kinetic dodoription of turbulent quasi-equi4ibrium
processes in planes
il-:,*. ('~r 01 CA LAkademiya nauk SSSR. Doklady# v-,1144, nos!js 1962t
1022-1025
1..,V: The kinetic equation for turbulent quasi-equilibrium processes In
*#on the functions
plarma in derived from the correlation (6H a61) bet
H Y, 'Where X u
a so a-K a and 6E - E a Is the n mber of particles of component i*
In linear approximation I$ is possible to write the equations for 69 and NV
a
63 In the form
6,Vdp.
0,6E 4n It.
Card

S/02OJ62/144/005/005/017
Kinetic description of turbulent B125/BI04
Solutions are analyzed in,which the spectral (unotions depend only on the
dintribution funation f UGP't) and on (67M),kulo, a 69) and (liq)r are
the Fourier components of the functions 60 and
6E('q,t)6E('qIst). Thus one obtains
,
(6E 6E)r'n B (ky. k) k +
rt ka W
+ (kv) dp an UP.. there
k)/Jt Ra + (e+ A
(7) ahJ
for r-ill values of kg
a (a. k) sing k)] 6 (e (a. k)) "PN A-O.-
These equations describe the time variation of a homogeneous turbulence
Card 2/ 5

3/020J62/144/005 005/017
1:inotic leacrIptinn of turbulent B125/B104
in p1norta. If the i1nama wave# absorb considerable amounts of enerCY9 a
"nx-mg1lian velocity liatribution will be brought about by,..~he
reoiatribution of enerry In the upectrumo The correlation*19 then
Jeter,-.Anel by the Debye correlation function6' In the nonipquilibrium case,
,the apace-lime apectral functions cannot completely be eirtiro3sod by the
t iint;tbijtion functionn f.0 The space-time correlation functions
r r
obtaineA here can alao be tined to describe non-steady st#Aea. ~The
oquation:; derived here can be extended to the case of a ve*kly,InhomogeneouI
plawra and are nuitable for deriving hydrodynamic equations allowing for
Vie emiscion of ilaoma waves. V. P. Silln in thanked for critical r*mark9."7_-
.433MY."1011: I-loakovakly rocudaretvannyy univernitet in* M. V. Lomonoeova
O"oscow 3tate-Univernity Imo V. V. Lomonosov)
February 9t 1962# by R. go Bogolyubovq Academician
SUR."ITTED FebruarY 7, 1962
Card 3/3

S/020/62/145/004/010/024
B178/BI02
CWTHOW: Klimontovicho Yu* Lop and Silint v4 P.
,71TLE: Pluotuations in oollision-fres plasma
?Z'Fa OD I C A LAkademiya'nauk,SSSR. Dokl&AyO_v.-145j no. 4, 1962, 764-767.
TUT: A fluctuation theory of the distribution functions in a collision-.
free plaoza is developed in continuation of the papers by
Yu. L.. Mmontovich MEW. 37. 735, 19591 38, 1212, 1960; 33, 982. 1957;
34, 173, 1958j), allowing not only for the Coulomb interaotion of the
old.
particles but also for a transverse el6otrio fi 'he space-time
spectral functions are obtained without previously ditermining the
correlation -* notions. Thus the problem can be simplified. 7ormulas for
'u 4
the 'II-actuations &E and 69 in the spatially isotropic case are calculated..
For the special case of isotropic moment= distribution -In the constant
=~.'gnetio field a formula is derived for the collision in;sgral. For the
Maxrellian distribution of the particles at *qU&l a simple
expression is obtained for the Debys screening.
Card 1/2

S/020/62/145/004/010/024
P'luctuations in collision-frot plasma 2178/BiO2
AtSOCLVA'101; Uoskovskiy gosUdarstvonnyy universitet iz. M. V. Lozonosova
(Mosoow State University Imoni U. V. Lomonosoy)
B S, Z 1.1, T ED: February 17o, 1962, by M. A. Loontovioh# Academician
S:;BU=TZ'D: October 24, 1961
MA
2 A6, WW rX K?

2/126/62/014/004/004/oi?
9032/9314
ALITHORs Klimontovioh_l Vu#L*
TITLEt On the statistical theory of processes in a system of
electrons Interacting with, lattice vibratations
PERIODICALs Pizika metallov I metallov*d;niy*, v. 140 no@ 4t
1962, 512 - 516
TEXTs The aim of this work was to give a brief account or a
method which may be used to obtain a statistical description of
quasi-equilibrium processes in a system of interacting electrons
and phononso The analysis is confined to 'the classical approxi-
mationj the quantum theory will be given in another paper# The
starting point of the -analysis in the Hamiltonian
H~S.g~,V% pt)dqdp+CSN,djVa(q.'0dqdp+
+ + 0(div u)jdq.
wher e jN t si(t)) x 6(P. F.L(t)) is the
Card 1/2

S/126/62/014/oWooW17
On the statistical theory *too 9032/2314
microscopic electron phase donsityq* !iQq, t) In the longitudinal
lattice displacement, C is the interaction constant, n is the
average ion density and a is-tho velocity propagation of sound
waves in the lattice in the absence of interaction with electronse
The functions N and .q are looked upon as random functions and
equations for them have boon given by D.N. Zubarev (UPN, 1960,
71. No. 1). General expressions are now obtained for the depar-
ture of N and u from their average values and for the corres-
ponding correlati;;n VAinctions, It is assumed that the average
electron distribution in almost uniform (j a 0) and the electron-
phonon interaction is weak, The analysis way be generalized to
.the case of a more exact Hamiltonian and steps are indicated as
to how this may be donoo The paper is,entiroly th*oroticals
ASSOCIATIM Moskovskiy gasudarstvannyy universitet im.
M.V- Lomononove (Moscow State University is#
M,V& Lomononov)
SUBMITTED1 May 1?# 1962
Card 2/2

XLUVKOMHO TUOL.) $not V.P,
Fl=tUations U a withat oolusionse DoklAX SM 145
no-4464-767 Ag (WA 1517)
is Mmko"kly gosudarstvevzWy uni"raitst in& X.T.Lomonnovs.
ftedstaylono akadoaikm JUA44outoylohm.,
OWN& (lonimd gas"D

Kinetic descri Uou of turbulent quael-equilibrium processes in
I
plasm. DOIT M WSR U4 no.5tlO22-1025 Je 162.
1. Moskovskly gosudarst"wWy usiversitat Imni MLmoncom,
Predstavlano tkademikam N.N.Bogalyuboyro.
(?I&=& (1mized gases))

I ~*., .

XUR01MYUR. TU. L.
......................
Dissertntton defended for the degret of Rotor gt thvjtjaMthWtIr&1
Sciences at the Mathoontical Inqtttuto Ir4dl V. A. Stsklovaj962:
'Soveral Problems of Statistical theory of lonequillortus Processess
In Plrtso*.O
Test. A)mi. Wo%uk 3591, Not 4, Moscow, 1963, pnos 119-146

KUNO"MCHP Tus L,
Statistical thsorY Of fm*quiUbrium processes In the astsm
of electrons Interacting with lattice vIbrations. fts. not. i
motano"d, 34 no.41512-526 0 162* (MIRA l5sJO)
1* MoskawskLy gosudarstv*nnyy universitet iment. M. T*
Orystal 2attices) Ocloctrons)

MAMAPUoal thow7 of hmogenems lootroplo turbulaw 1n a
rdativUtia p3mmm. DAL AN Oft U7 no* 5slo63-1066 D 162o
(MM 26s2)
Is Mookmkiy gondarstrawyy univmito+, in. N.V. la"nown.
Probtmdmo akadudken N.Y. loplyubov7se
Olama (Imisod C"es)) (21arbulmoo)

U-: OV A.N., otv. md.1 IVANNIKOV# Y.G., rW~j S.A.9
[Electrin neasurlr4 to-ohniquen wW autotatic cortrol; studi"I'l
of postgrn,uata students and degree cardidutaol Slektrotzr*-
rlt4l'nala takhnika i avtorAtiks; ucherwo zaplaki asnlrnnt,~v
I solukatele". LenIngral, 1963. 101) p.,
(Ele-Arical -mchinery and autcratel alectritc- drivea;
of pontgrajuate students "- degree candldm*al
mnuHny 1. wrtoratialrivannyl elektropriv)i; ue-tAr4li zqI-iki
aspir&nwv I solekatelel, lAnlmgmd, PAJ. '4140 p.
(vJRA 17-12)
Laningrafi. 1-o1 I tekhni cheek 1y -'ristitul,
A

8/207/63/000/001/002/028
2202/2592
AUTHOR i KlituontovicV, YU,,L', (Moscow)
TXTLE4., turbulence in& plaslas,
PERIODICALIzZhurnal ;irikl* My-'ziekhalmiki i tokhnichookoy--
TEM. S.tarting*ith'_!A;~ syntax of microscopic plasma state
equations in which.-thO values,of the microvc*pio phase densities
are known' f'oroach plaims c~omponoftlt a* well as the values of
electric and magnetic hQ14:"Potont4als (B* and H * respectively),
a closed Ays te#i of oquatioiis,.: for --tho p4ase donsit;-- N I V -and
HO is-giveno 1hi proach,.permtts reducing the problem of the
s &P
statistical theory of non-4cluilibrium plasma processes to-
detorminAtion. of random functions of the throe parameters. uhich
,may be expr4aeod through miny:plaswa chiracteristics, e.&. the
first movientse This -troatmont.1*ads to a met of first distribrUon
functions' f , i.ea:kinotio,oquationse Formulating:furthor
condition6 dr the:solution OfAhe corrolatior functions of 'the.
.component p"ticles...9 An-approximate maxizum correlat, OnAime
T is found; also.thtl af /at -e-iatr A case in-which
max
-Card -l/2._.I____._
x,o t,~,

, , - - r 'Y T '
a--

7 --7--7-
_L KWT( 1 )/EWQ(k)/9PA(sp)-2/-PA(w)- t
2/
b 4 4 1 j P AE IY-' S
A(-C L-- I X1 11P AMr,-C)O11447 BOOK EXPLOITA71ON
.*montovt TV r
chi iL Pway4ch
Statistical theory of 4040quilibriust processes in jj*Ag&~(Ststistiehtakaya
tooriya neravnovtony'kh proteossov v plotme), (Koscow.-, ltd-To Meek.
univ., 1964, 280 p. biblio. 3,350 copies printed.
M'IC TAGSt nonequilibrius plasma process, plansa, wave, plasma physics,
14axwell #quatlon' Vlasoy equation
TABLE OF CONTENTS (abridgedh
Foreword 3
-7-tan - processes 12
Ch. Il. Microscopic equations for a plasma. Averaging mAcroscopic
equations -- 57
Ch. 111. Equations with agreement of fields. Vlasov equations -- 78
Ch. IV. Correlation and spectral functions, Kinetic plasma equ.itiona
Ch. V. Radi^tion of plasma waves in kinetic equations and expressions for
spectral functions -- 204
Ch. VI. Hydrodynamic deacription of plasma processes -- 243
Card 1-12

. t", Ma
L 19861-65
ACCESSION NR AM5001447
Bibliography -- 276
0

AKHMUOVI S.A.1 YJIOKHWVO R.V.j KLIKONTIOV1CH, Yu.L.# doktor fix.-
matemonaukp otya rod* ---
(Problems in notainsar optics; elootromagnatio va"s in
nonlinear dispersive media, 1962-1963] Problegy nelinsinoi
optikis *lektrmegnitaye volrq v rislinelMkh dispergiru-
iushchikh srsdakho 1962-1963# Moskva# In-t naue" Infor-
mataii,, 1964. 294 p. WRA 17sn)

ACCESSION NR: AP404271318 16/0020/64/157/003/0563/0565
AUTHORs Klimontovich, Yu, Le
TITLEt On the statistical theory ot-'nonequLlibrium pr9cosses in a
plasma (account of nonlinear interaction of waves in the kinetic
equations)
-565
,SOURCEs AN SBOR. Voklady*# ve 157# no* 3, 1964* 563
'TOPIC TA(;Ss plasma 4ynamics# nonlinear plapma plasma wave* kinetic
theory# coherent scattering
The kinetic equations for a plasma# with allowance for
~the nonlinear interactio of th considered for two
Iwoves* are ex
~treme canost 1, Zero ave;age do, 2. Correlation is ma plotely
Ineglectedo A quesilinear approximation is considered for these
!equations. The work differs from earlier ones in that the nonlinear
..equations are considered not for plasmons but for complex field am-
1/3
TURIMI R

ACCESSION NRs AP4042780
plitudes, from which equations ar6 obtained for the real amplitudes
and phases,. This makes it possible to ascertain the conditions under
which %he assumption of rapid phase variation# assumed in earlier
is valid. The effect of variation of the charged-particle
distribution functions f on the spectrum in taken into account. It
a
is shown that if the nonlinear interaction of three, four, and more
waves is taken into accountl there is no closed system of equations
-for the function fa and for the second correlations (of the plasmons),
-In its place there in a closed system of equations for the function
f and several correlation functions, the number of which depends on
de number of interacting waves. Perturbation theory is not used
with respect to the field. The small quantity used is the number of","
charged particles interacting with the fields. This ensures slow
variation of the fielde In this respect to approach is analogous
to that used in nonlinear optics. If -the quasilinear approximation
is used, account is taken of the coherent interaction of the waves*
2/3

ACCESSION NRt AP4042788
in the general case, the equations obtained describe both coherent
and noncoherent interaction of the waves* and make it possible# Ln
particular, to describe the appearance and development of the average
field which is excited by arandom, fLeld. OrLg. art. hass 11 form-
las. Repwt prtsented by Ns He BomlWbovo
ASSOCIATIONs hookovskLy gosudarotv~enny*y universitet in.. M. V.
Lomonosova (Moscow state UnLversLty)
OUBMITTEDt 05MarG4 SHMS 00

V-Y- T.
L 41650-65 EWT(I)
ArcrMCP MR: kP5006324
9/0126/SS/019/002/0161/0168
M~7Hnp ~ K11mcfntovich, Tu. L.. Kukharenko. Yu. A.
7 LF (,,uantum kinetic equation for a system of charged particles with regard to
-ere
s,ti~ai Df zhe particles with waves
SOURCT Fizi~a metallov i motallovedeniye. v. 19, no. 2, 1965. 1161-168
,z /
70PI' TAGS: quantum kinetic tqu&tLon,- grgoo partkc;jq. particle interaction.
equation, kinetic equation
kinttic equation in derived whirh
4n in'rmrite-tinn of the r~artirleq wit-) rho
---II T)-i equat i oTi a !so t aJr es P x~
I P ra T i Tr, oge t he r w I I h 1, h*- -, a r 1 a T
4vpaar in sivoliar v
~a untl
P"Ve. ~t7v.. 1967. ~2~,
ncmko"kiy gosuni-rersitet im. K. V. Uommc~sova t Stst* t-kniver-

r.pqr u%vv- t nteraction in a platinek
I
~-rna I ek Fperi mr?ntal '.-ioy i teorett cheqkoy f I rl nr
r-aw4a ftve intersetion ftact 0n$
spectrmLl nartetion, dletrihitlan ftnc:tlon
art i c is a continuation of' epvrl'.lr
L 4
'In Air w ~n:
A; n e'! r r) e , w'..,
,,)n n ho a-, f-, - r
Card
P!b

A P) 0,06 4 97
P~) r c., r ',!)e real anplitudes and ph&sett, Tho ~~;W-nmr-f a-,us-
-1. . a I- ". -n "unrt i or, a is t."r --,r. a ~ 1,~, , ~-, -:- *,ixr"-,
1 n e rac S onx , The nonstationary ~jusi' -rs r r c -
t .. I
q ahevn th&t t he -,;At r
- A .I #-.!
r-,, r -1 in r s
gns%id&rvtvenn" tm1v\-r%1trt -tal-P 'r,4-r%'.ty
L 00 'PUF 'ODE., WE
001
Card 212

WW-2/911PWIWMAnml~ up(o) w
?*,^%j6 FINN AMZ4530 MACK CMS URIUMINIUM119911uguilum
Yu. L. IKarystov, V. W.1 Lands, F. S. 6 0
ORCI Moscov State University (Moskovskly gosudarstvemm univeraftet)
TITLES Wave synchronization to a it" laser with a rin j resonator
SOURCEI.,,Zhurnal okspertmentalluoy I tooretichaskoy fixiki, v. 31, no. 19" 3-12
1P
-:XOPIC Tksl laser, 9. laser theory, coherent ligbtj LPp,.4,O_
ABSTRACTS Mode locking of two opposite waves in a ring laser Is studied to the case
when frequency sismaith between then is possible. The &or* and f trot harmonics of tim
density matrix elements are taken Into account to the calculation of polerizatume
A formula for the soda locking region width Is derived for single-soda operation by
taking into account second-order term with respect to the mirror reflection coaffl-
clent. Results of an experimental Investigation of the depemdews of the mWe
lockingregion width on the magnitude and phase of the reflection coefficiesitare
presented. The reflection coefficient was changed by Introducing an additional mirm
The dependence of mode locking bond on the reflection coefficisit agrees qualitativab
with the results of the calculationso Origs art* hast 39 forsel" and-& figures.(CS:
SUB CODE: '20/ SUBH DATIC 06Dsc65/ 0110 22ri 003/ OM RKIPt 002/ ATO PRMI
7-
CM;A III

ACC Nit$ AP70032 SOURC19 coot qJV00311661031100GAMI1'733

AUMORS Klima, ch 1, Vu. jt-
Llpolp"love

ORGI Mlow It to VolverlIty Obokavskiy PoWarstvannyy universitst)

TITLIs On the OrY Of Optical excitation of semiconductor$. Absorption and
da
dispersion'.che otlatice of,sinite- and two-pbotonprocesses :"
SOURCS1 Zh vks r,1 toor fix$ v.:51.9 no. 6, 1966, ln2-1733
TOPIC TACSt U theory anomalous dispersion, optical pumping, sasiconductot
laser, single p too proctesal, two photon process

ABSMACTs
An investiption was made to obtain a theoretical account of 1) optical
processes- in wbAch the semiconductor exhibits negative absorption (laser
rasa
effect)- and 2) Pleaching phomosona In which the absorption vanish" (t
Yarency effect),. The sUWUfledo two-band =del was swoused for the soui-
conductorg, ownd y band-to-band transitions wore considered, intrabond
transitions be &"Used negligibles A sinUar theory was ddvoloped
ids
previously by authors (ZhZTFo v, 50, no. 3. 1966. 605-6121, taking Into
account two tion periods Tjj Tjo for tbo recombination of the olectons
and the polarts Ion of the madfic -. In the present work a third relaxation
period, T3 'ic4. T *'Tp is introduced relative to the deceleration of the
LSgEl 112
MR* i I ~iW

ACC HC Y60114
sleet ron t1
0
-at uh ch 'diapg
Athat ~ the
-described by t1
popuiatlioi% dif I
ra ristic'
s, cte
A
Ishing at X,
yan
:bldden~gsp), fi
processami, the
f requaimeleii b:
A < hol" 4 A + j
-and 6116
the rVI
and Se a 2b*l
_41 w4m. 11
a - .4 m&A fI
;ASOV046 Or
20/.
Sn'COIXI

be
a ~ ads, .,,1WVr'ge0nt 'theory'also* Involvis the f requency w
ilea Is lavestijitsdo' As In the previous paper, It was found
tion' effect In'the,came-of single-phaton processes can be
vfIrit hatmo it Of polaritation P and the constant term of the:
ereake.D. Results are s1mdlarlydes;cr1b*d In term of a
nwrly Alf t 4% lacressInS with the pumins fuld NJ end
w"0. It v" shown that for *1 2, A h (A - width of the fo r-
'
wl 3, 6/2h, for two-Owtoo,
rsingle-photon processes, end for
Lower edip of the absorption bond is shIf ted toward hIguer
about ANA. Vesativg absorption occurs for
The saturstim field (beyond which AN no Impr Increase&
0a,vanishes) -is Is - he, - 6, for aingle;ophoton procamem, k j!'

a
photon-processes. Dispersion characteristics n
.:for two-
,
tWm the form of - the us"I awmiloas d"persUm cur"$ with
toward *Lgbat f requameLes LIU tba- lower *d&* of the
0911, &it. bass 42 forwalse i&W 2, figires.
b4xxi'.'~ 19AprW OUG =71 OW OU Ws 003

,
4"
V 'J
W V
t

KLD40l%"MUICZ Andrzej 0 Inz.
Expansion coefficient in group wire evitching. Prace !net tslatechn
5 no*3#65-87 161.
1. Wydzielone Diuro Roxwojwe ZWT T-2,, Warezava.

- --------------
XLIKCIITOWICZj Andrzej# Ins.
Datarmination of the songest1w In tv"tage Inoompleto link
systma. Prace Inst. toleteohn. 6 no.401-98 162
1e *dsislons Biuro RoswoJove# Saklady Vytvorass Ursadzen
TeletechnIemych 2-29 Waromm.

E=I.CV, Anatolii, comp. Urals % _nlia zolot-Aia; k.wk--,a --lion.-rov i s~ 'kol I'likov
Svc, dlo-inkoij iN'olol-o-v7sloi i Cheliabirmkoi oblafitai, 5-.'Ql0vsk-7, S"rdlgiz, 19W4.
2n, (1) p.
DWs PZ65.h58
SO: L03 Soviet Goograplqj Part 11j, 1951j. Unclassified

NITSMG. be
MUMVITS11Y, I, t XMIMT. A.; erl A
Directors of ontarprises on business accounting aid basis control,
Bonet kreds 13 no*11320-24 N 053. (MM 9:2)
leDirector saved& MAW Leningrad (for Kramovitskly).2.Umosti-
tell direktsra Urabomahsays" (for Nitsborg).34amestitell direktora
Novo-Kramaterskoge ammods imeni. Stalins, (for XWw1wv).4.1scW'&1k
finansevoge stdola Avtosaveds. Imal Noloteva (for 111mov).
(Industrial management) (Banks and banking)

ZMOT* A.
&iaoaosos Are born In rAtloo-vide mociAllat cowatition. Prou. koop,
12 no-113 A '38- U31)
1. Prodoodatoll googorpromwmta,

ILIXOTj A.
On the path of speolaUsstion and saUrpment of artell, Pros.
koop. 13 no-12116-5 D '59. 13t4)
I.Prodse"tol* provl*vdya M"kovskoo Corp"movota.
I(mosoow-mam9actwes)

SWBM, Xj garnyy inshel BATRACHM, A.; PAUPERM, A.;
SHCHUWT, P.,, sabopholiftj KLDGDVv A.
Wbpn yott work vith ardor, Sav.shakhte U noo2s24-28 T
162. (MIRA 15sl)
1. Chlen obakhtnogo komitetap proftedatell pkoiSvodstvvmncmsascwCv
buissU shakhty iumd nliam, uwmka -oblasti (for serobabs).
2* Zamatitell. predsMato2ya. pnsidjupft postoya= 4*ystTvydsMb~p
pvoi*vodsVv9m6go so"shchanip shakht A ntiobs,, uwmkoy
y imer
ObUsti (for ftyracbMy), 3, Zowstite2l pv"Odate2ya
icmitstao shaKlAy imid nlam,, uwwkw obusti (for P"Wov).
4o Pred"datalt sbibehobno-bytmoy kamiseii slwMty imni nlieba,
Lupftkol oblasU .'(for S~cbsrbij). 5. SekretarIparti7noy orgavi-
izateii ahakhty immi nsiom Lupmkoy obl"ti (for Kliwr),
(C"i idners), Orme mime)

1,111.1tOlf N,# ra;or, kandovoyenny'kh mcakI K WON, A.,
Amaent altttule of a radlodaivo clwl. I.v. I k-:~3m, 411 ,10.6l
94-95 Je 164. ;717)

JMOT* A.A., a doisent, k&MI&I toMmlobaskift ank.
DstermlnW the heastu tesporstwe ot an inamotion motor 'by somas of
a ou"llin"r diasrasto Test. elektropron. 18 no,9811-22 2 047, (MM 6112)
2. Xoskovskir institut mekhani"till I elektrifilatell sellskop khosyaj~-
stva In. T.NON020tova.
(Zleatrio motors, in&wtloa)
Tias form of a diagram is w1de17 used in the study of electric and electro-
mechanical properties of 4"hronous electric wtors and otber electric appmt us
utilizing alternating current. It am also be u3ed to deterrixw the h*ating
corAition of an electric motor . The author explains the formula and applies it
to a spherical diapvz. Also gives the value or for various types of eleatriwa
nuclilinery in tabular form,

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KLDWV A A 42 -
735.9a
Velikiye stroyki kammmim sUctrifikatsiya sel'skop 9k6
khosyiqntva ftliqndskay oblasti* (Ormat Cionstruations
of camawdm &W sloatrification of the rural mmnwq of
swingrad oblast) ftalIWmdO Oblastnoye Knipizdatellstvop
1952, 63 P. illus.
'an! 9,
i., 18V IN M-I 11M
!Tqn mw

9/5
723.1
J63
ilaktrifikatslya pmisvWstvswwkh pmts"mm v shivotr4vWotvo (no*-
trifucation of Mduction prooesses In animl husbwWry) Moskvap Ullkbos&t
1955.
375P. diagre. (UchsbnlU I ushobWe posoblys. " tpshfth
eel# skokboasystyarokh uohobviykh mvedonly)

ILZIM, A*A., kwAid&t tekhalcheakikh nauke
~hj - In - -1
Datemining msc~Aalcal charaotdriltIcs of sloctrio motors Old
wobbos in operatloas Bellkhosmashlax noo2:17-18 7 '37o
(Ileatria motors) (KM 10:4)

I r-T P-T
T" T r-V
JfiDRW16V. T.N.. doktor takhn.nauk; SIRSURY. Ta.79., insh.: BYSTRMKIT*
D.U., knnd.tokho.nsukj OMINNIKOV. AJ.. kand.tekhn.rauk.- QWS07i
V.A*. kand.tskhn.=Wr.Z0Y3X, V.A., kand0tekhn.nauk- ULMOV, A.A. 0
kandotelchn.nouk., KOROLW. V.Yo, kRnd.t9khnnsuk; JLU=YATr"W# JL*Yo$
kand.tokha.mWel XMIK# M.Teot kandotakhasnauki FAZAROVO 0.1*1 karAq
tokhnonauk; OLMIKI NoPo. Inshoo 0SNMOV1 P.A., kandotekboonsuk;
PODSOBOV, A.So. Inshal POPOV, 8.T*6,inzho:PRlSHCR1P.L.0.. tend.
tekhnonauk-, PCfMLKIN, Yu*No, insho; RUBTSOV, P.A., kand.tekhn.asuk:
MOTj B,Aoo bndstakhoonsuk: SAY111KOT. X.P60 bnd*tskhn.rAukj
SAZONDYj N,Ao# profs, doktor tokhnonsuk.* SIRONMs A.C. insho:
SKYORTSOVI, P.F.j kand,tekbnonauk; G91RUOV. R.Y.,kand.takho.neuk.,
SMIRROV, Vote, kend.takhn,neuk: TYMINS.KIT. Te.T.. inth.: URVACHST.
Polo# kand.tvkhnonauk: SMMMAW, B.Ae, Insh.: SHORMOT, SiTs,
1mnd&9kon*nmukj RUNOT16 L.N.. Who: TOLOYOVSXATA. D.N.. red.;
ItKIT111A, VA.. radj BALLOD, A.L. takhn.red.
[manual on the use of also tric power In agriculture] Spravochalk po
primenentin. elaktorenergil v sel'skom kbostaimtva. Moskva, 008.
isd-vo sallkhos. lit-ry, 1958. 606 p. (MMA 1115)
(Zleatricity in agriculture).

]MINDY A*A* kand#tokhonauk
. ~~-q .
Iltatrie welding squIpment In agrieulture, Mokho I else, sots#
8011khas. 16 00,41043 '38- Odu 11110)
is Stalingr&d skily O"I'SkAbOsTAYOT021107 ID"tItUto
(Ileatric welding)

,---KLLHOV,-AA., prof,
Use of electric aro discharge in agricultural technological
processes. Mekhe i slek, sots. sellkhos. 20 no,300-33 162-
(KIM l5t7)
1* Volgogradakiy sell skokbosyaystyenrqy institut.
(Zloatrat, in ioulture)
11 a
(Ilsotrio aroF

18(2 SOV126/59- 5-20/35
AUTHORs Astaulov, VPS*oXllnoV,p A*D. and Astaulova, A.S.g
Engineers
TITLE., Refining the Structure and Eliminating Cracks in
Magnesium Alloy Castings
PERIODICALI Liteynoye Proizvodetvot 1959, Nr 5# PP 33-34 (USSR)
'ABSTRACTs Out of 300 tests made within the period of one year,
the authors investi at$ the structure of alloys and
f
elimination cracks
rom them. It becomes evident that
when using Ov27% mamganseep the result is a fine grai-
ned structure without cracks in contrast to cracks
and the formation of a dendrite structure when using
less manganese,, i.e, lose than 0.2%. Fig. (1) and
show different kinds of grain of the structure*
a fine grain, (b) coarse grain, (c) dendrite, Some
M
dates are given with regard to the ratio of the struc-
ture to flux# modification, range of temperature for
cristall zation, sto. The authors state that there are
Card 112 some analoguous features to aluminium alloy. The range

SOV/1;>8-501- 5-20/33
Refining the Structure and Eliminating Cracks In M W esium Alloy
Castings
of temperature for cristallyzation of some types of
magnesium alloy Is given and It In stated that exten-
ding the range of temperature improves the quality of
the structure. There are 3 photographs.
Card 212

XLIHDV, AjD.0 kapitan I-go ranga
Military and technical propaganda among students of naval schools.
Mor. abor. 48 no.l2t27-30 D f64.
(KMA 18 s 2)
-11:63i J--~n ZEN ~51

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gh I a I
q j Is
11 v, In.
1 111 KIVU.
ij
I'M

PTCHKN. Yu.Y..
,4WWAwA..7. WUMV, A-N-; SIONW, D.M.
w~
'ff~Ot Of AIIOY189 Oft the longitudinal elasticity modulus of
zirconium, mota astanovedablet.t1st, no,lt231-242 059,
(Zirconium alloys) (Ilasticity) (HIM 12110)

50) SOVIN-59-2-19/24
AVTHORSi Parfenorf A# 1*4L Allux- a- F-,m Masurlat Of YO
TITLEs Xlectric Conductivity of the Olasses of the system
Id 0-00 C6810 -Cs 0-310
2 2 2 Oftoktroprovadnost, ot*kbl sistozyIJ20 2 2)
PERIODICIM Ysstnik Loningradskago universitsta. Seriya fialki I kh4slit
1959# Nr 2# pp 129-135 (USSR)
ADSTRACTs The results of the Investigations of the conductivity and
density of glasses of the system mentioned In the title are
Indicated in this "tIolse The mentioned system Is use& as a
basis for the working out of formulae for electrode glasoos.,
Those #lassos have at present a resistance of 500 XQ . The
working method with then Is such simplified If the" glasses
hays a lower realstancoo Under this point of viewt the
Investigations described In this article we" carried out*
The designations of the glasses produced and Investigated for
the experiments# and their composition, are compiled In tablel.
An analysis carried out on the glasses showed a deviation of
some percent In the composition as compared with *be quantities
of single components used for the prtparationo The density was~~
Card 1/3 dotormined by hydrostatic weighing of the samples in water and

Electric Conductivity of the Olasses of the System SOT/54-59-2-19/24
1,120-0420-8102
Card 2/3
benzene at room temperature (error 10o1 - 0.2 ~). The oov,
duativity.was determined an plans.parallel samples by
graphite electrodes, the resistance of the Classes up to 1064
by a bridge airouit# higher resistances by a segachmmetsr of
the XOX-ZX type (error 20 - 30 %), The values of the mentioned
determination quantities ars compiled In table 2* The table
also oontains the activationl*norgy 2 for -the movement of Ions
In kial/Xol and IS A computed by the formula for electric
conductivity 14 a As DAT* From the density of the glassesp
their molecular volume was computed, and - as the Co-glasses
have the highest density - the dependence of thenolar volume
on the concentration of Cs20 was determined at a constant
content of LI, 0 (Fig 1, and content of Cs O+Li 0 M constb
2 2 2
=27 aol% Fig 2)&L'yor inyestig&ting the conductivity of Classes
of different composition# the neutralization effect was In-
vestigated which oacurs by "placing ono basic oxide by another
(Pig 3)b This points to a4irect dependence between the
differences of radii of the basic ions entering Into the
systentand the character of.the neutralization effect.

Electric Conductivity of the Glassoo of thefiyetom SOVA4-59-2-19124
2i 0-08 0-310
.2 2 2
SUMTTZDs
Card 3/3
In the lWastitation of tho activation energy at the transition,
from sodium-potasslus-silloate glasses to the system considered,
as Influence of the ton radius on its value could to observed
(Fit 6)-a Prom all theme investigationst the following
conclusions are miss The electric conductivity of lithium
glasses decreases considerably with an Increase in the content
of ON20* For electrodes# which are only used at low temperatai*4
#'ssass with & low content of 0020 (UP to 6 Vol% ) should be
preferred* With an Increase In the content of Cs Og the
2
toughness and also the molUng temperature for glasses rise
so that for electrodes used at higher temperatures an Increase
In the content of Os20 up to 9 Vollt Is permissitU, 01"sos
with a higher content of C*20 are unsuitable for use at
electrodes due to their high resistance. ftare a" 6 figurest
3 tables, and 4 references,, 3 of whiah are Soviet.
October 289 1958

ILD-0 Ark#A Frol Klismat A.?,]; UMBOTO D. (Vksusaus D.J. red.1
rod
Nor4s SWVWSI SIM I oprM6 IKluk, Dslatsh. vyd.,va am w
masava-PILUto li"t 1960, 35 p. (MnA Utj;)
,1# Sekrotarl gmmnokoo rwmogo kmiteta Kmomisticbeskoy patil
Bolorussil (for tumv).
.(Somo District-41ojn*--roWj2g &W fogdg)

BlIj B,A,,t ILUOT, A,Gj MUMKOTo B.P. rodaktor; WSWT. Clolo, tokbal-
chookly r a I
Clustallatlono ispair and opor&tlon of rofrIgeratlon oqmlpsontl YWu-
tash# remost I skeplustatella kholodilinogo o'borudoyanils. Korjkval
Goo. Isd-vo torgovol lit-rys 1955. 280 p. (xm ale)
(Refriseratiou and refrigerating saablaory)

ME, Boris Arkad 'yev loh; KLWjAlxjj*y G*orgiyevich SIMININDIA, Ts.B.,
red.: XMISK. D.W.; takhn.r*&.
[Pros refrigerating awhineryl Froonawye kholodillnyo ustanovkI.
Koskra. Gos.lid-vo torg,lit-ry, 1957, 183 p. (NIIA 10:12)
(Refrigeration and refrigerating aachimory)

IMMY# A*Goo oloktroinkbaulk
fty we lneftn aonh%l leaks, Aitome, Ulop. I Was' 2 nooUt39
I Ise. (XMA 22322)
1.1oningrad-YarobovskWa 418tantol" 41CM11satall vv7&SirGKv"-j"kw
doregis
(an"ado-Switchos)

"'7-'--7777-- 77"
gilt Ambat 119(al, wim
A CC HE
IOU= 6m; .,Vl/0413/661000/004/00

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ILDWY, A. 1.
Agriculture
10041 water resources &M their exploitation IV collective fame of the ftolonsk
V,mvincel boolomakt ftolonsk" obl. goo. Isd-vo. 1950.
Monthl List of Russian Accessions, Library of Congress, ma UnCI#

12"OT, A. 1
6
~MA*l
Improved deterniution of bouMs for zeros of L-funottons, Mr, ut, sbaro
Impro"
5 no*21171-184 153, (XLU 616)
21
(Series. Dirichlet's)

KLIMWt-A
USSRIVAthemation Dirichlot Fwation
"T"luAtIOU of the Limit of Zeros of L-r=ot1oc##0 A. I, X11mvp SamUrv UoU
podagog lost
DAN SSSRO Vol 89, No 2p pp 2054M
Obtain@ nev evaluation of lWt of %*roo of Dirichlet's L-functions. Indicates
in the forouls, giving the limit of zeros, the dependence of the Ainction an
modulus k of charsoter x(npk) wW oomputes the oonsts entering in to the formulas
Presented by Aced 1. M. Vinogradov. Rood 23 Deo 52.
source.0264TS6