SCIENTIFIC ABSTRACT AKHIYEZER, A. I. - AKHIYEZER, A. I.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000100610005-8
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 5, 2000
• Sequence Number: 5
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

AFI MI-EZER, A. 1.
Al-bi-yozer, A.-1. and Pargamanilc, L. E. - "Free oscillations o;'
the electron
plasma in a ranetic pole", Uchen. zapiski Khar1k. r?os. u-n-ta in. .
Gcrlkogo,
v0--). mil, Trudy Fiz. otdniya Piz.-matem. fak., Vol. 1, 19,1,,8, p.
75-104.
SO: U-3042, 11 March 53, (Letopis 'Zhurnnl Inykh Statey, No. 8,
19!.9),

R~4t&ctWm of atutrorms. A., 1. Althirter mod I V.i
flooscrunclusk (Phys.-Tech. Vkr. S S R
Kiev). XAmr. Ekspd. rrord. Pis. 18, 475-8(JM).-lu else
sra~sr of It el'retimlcl (paxamagook or fermnagneak-I
timflu"l. ate . d.. term must t* added to the 110tCotiAl
=!t In the Scbradinga equalion. hxprm-$ons ate ols-
I for the wave vtoors of the neutron within the mystal
,list%% Iog ihitt the refraction coeff., and mbo lite angle of
lot At
t.firct),-n. drewailsi on the orictif4akm of the pin of Oil,
Ills%
larl C4111 I%r Islillml to Ilitilin it completely lsolmil"I
otutrou
Issraltv N Thoo

'604
so C
go"'
00,41.
g0&
.0o at
*0 .3
600
GOO
0014
I
0
1639. Contribution to the Them of1somence Seattering,of
Partial*#, by
Ao Akhj9j&t-,PW 1. Poneranabak, &XMI 1k2pjrjMntjj'Sgt I
f*~DriiqjfijAjI. i Film is* Pe 603-W) jqlj~ 1948. (In Russian)
It Is Imown that the pbommozon of rtsonance scattering taking
place
at collisions between nimtroas (or other particles) and atomic
nuclei 2
can be described by a revenues forsuls, analogous to %bat
dencrIbi a
ng
the resonance Interactions between light w2d matter. The formlas
which have been given t7 various autbore,are howwrer, generallt
very
ocuplicstod and iot ossI17 adaptable to a sur"y of the possible
che"s of thsrbsonsons The present vriters suggest a ratbod for
"goo
I obtaining formlas of Us ones sections of scalteringk based on
I
wave-moebanical consideratiome of a very general obaracter.
Their
forwalas Wow that only two general ctansts of scattering of slow
particles Ir Wolel an possIbles (L) those In whiob the amplitids
Is the resultant of tbo'emplitudes of the resonance and the
potontial
scatterings, &W (2) those of. Abs typs of scatterl" occ=14 fron
collision between slow. moutrons and rrotons. The proposed
metbod
...........
ra
MRS200 zUWtIQ im 4M], tic
Mons.
ft~" or Mi-61 dis"togration W Muclear
U 8 _AV So In , a
, ! considerations are surverw -is anacession.
960600
.010~00000900060-~00001001
. 0
Moo
=00
COO
goo
coo
I
wqv~
4406

F-
909.

On the non-42*0tromapatle Interactions between electrons
and noutronve

A. AkhIeser and 1. Poneranobuk. 2hur. Sk rtl I
19gle-ta-11s,
-
-
,
-

tter 170
tie iditor).
Rrwy irum (IN Russian) (I's
W
~

'so

The apywastry of the scattering of neutrons in "non was
attributed

008

'tv Tend and Marshall (0m, Ra. 72v W9(1947)) to a
non-

*04

electronagastlo Interaction between neutrons and
electrons@ Howevert

4 re
*0 13

the observed asymmetry my also be
caused by the Interference of

*so

ways# scattered by the ps
atooss This Interference Is due to a

correlation In the mutual
arrongenat of the a tons, w~lch is

determined by the fact that
the distance between the centers of two

atome,oannot to lese
than two atomic radii. Being proportional to

a

the ps donsitil
the interference effect Is own at pressures of

the order of
mijp1tude of 1 ate, exployed by Fermi and Marehalli

however, the
effect described by Uses authors to also very small.

It In shown
in-tbe present note that the Interference effect must

be of the
order of asSnItude of the effect observed.

tie 0

'ASO-SLA

METALLURSCAt LITtRATOARCLAUVEATOW

so
Into tv"Nalve

taw VOWAAV

~KJ4
tan*" -4

141001 "it
""11
ONC
,
4SL&S1 OK 4wv All
T

U 0 "' 0 01
;

; ;, t, 1, it ; at aa at it it 1Aa
It I W
~

it. IN 0 .9

a
DT
*

1
Is
00 1000*0:0*90000

1
0
00

0
0

I I 1 4 If U it 1A I

#96CJISIS A10 POPPIFATISS -Pit

34S7
Diffraction firallering of Fast Neutron% and Charged

Particles.
A. 1. Abjeser and 1, VA. Pomeranebuk,

U .200004MIn Russian).

the
thrurv %J dittrartion phenonjena, regattleil as j,tfe tir

file
axlWct% of the scattering of P&Mcleik by nutlet, is given,
so
Ar

the latter being phenomenologically treated as opaque

IPAIet.. The oparity in represented by the phenomenon of

formAtion of excited compound nuclei. and the dependence

of the
opacity buth an the energy of ltv* Incident parlicirs;

(neutrons or charged light nuclideal and on the mass of the

absorbing nuclei. Is determined by statistical methods.

independently of any theory of nuclear forces. After that,

an
optical diffraction theory of the scattering of taxi nru -
d
l
d
f

4r

froax is owline
o
lowe
by a quotain - mechanic& I one,
,
both leedit* to the same cron-section formula for the

diffraction scattering of neWral particles. These consider-

I

aftloins art generalized " as to Include the diffraction of

charged nuclides, vit. fast protons, deuterons, anda
particles.

A SITALLUPCoICAl, I.ITU41%01 CLAIMPICA1

410 glLS"4Mtl 416161
lk

ace
ago
-9i
L
410 0
so IN
zo~g
OK g.. &$I
Sooo-so 4 1491 941,
U S AV so &%I; Or Ot of 'a W a 4 la- "K BAD " i I Fe; 111014
0 000-010 9 o 0 go go 94 0 fafoofoo.14 000000 000 a 0.0,10
:0,0* 1 0 -0 0 0 40 *- 0 'o -1P 0 * * 9 WW G'. 04.6 00 000-609
folow 0 *to

A, IA-41 A, 1IL-1-161-Jr, I-A
-1.*
A 03
537.533o9
3779 The interaction of a b"m of charged particle@ with
electron plamm.
A*,J*-4khl*zer, and Ia. B. ftimberg. D*I. Akad. lbulgs 5M, 69
(Boo 4)
555-6
zoo
Los 0
iV
) . Amp
IH
roe
I
As,
04 a 16 IT 14 a a a I=IVII0
u m AT M) ISI; Ow"
x4
141 it 0 iisees, 0- 0066 000 ip0 :0
: : : * 0 0, 4, 0.00 0 * * 0 0 0 S, 0 0 6 * 0 0 0 0 03 00 *

-'A
T W
:0 a V~
00 4)
5
nx
Ilk
NZ
Zl-
Is's
t. RE
Lc
If
n
5 a S L A, ORTALLUX4 &L,LITINATWE CLASSWKATM"
%2o., SIVII&V.
.4 tolall.) .419 04V aft 411111 ON--G%V- lit
% AV No is -3 a 3 1
It a it r No a
Ig
r 0 0 0
0 *
e
f 0
-oil
.00
moo
woe
nee
x6e

- --- - - , - z; - - - ,
- - -I I I - !~~- . ilz. r I - -
4 ~ I . -~- . : ~.Ii , ~.a . . ,
- . Z, ~ i . m 1~ I
1: .-. f , - - , ., - L , " - n - 7i. " ~ ., ~ .1/

AKIIIYEZEI~ A. 1.
aft
..Oep: 5.1,
6SCAllations
"Nonlinear Theory of Oscillations or Blectron
Plasma," A. I. Akhiyezer, G. Ya. Lyubar,,.kiy
"Dok Ak Nauk SSSR" Vol !M, No 2, PP 193-195
Solves the simplest uniform nonlinear problem:
Considers the longitudinal oscillations in un-
bounded plasma at aba zero, with the state of the
plasma characterized by the ordinarily used distri-
butionfunction of electron density 13kr)t). AO-
k-novledges the interest and valued discussion of
Acad L. D. Landau. Submitted by D. Landau
18 Jul 51.

AKHIYEZER, A. I. FA 236T101 - I
I

V PFNYWATION OF CliARC-ED PAY IIL!.-S
THhOULAi k.N
23~ Gi
p2rtICIO LLO tt-r-44 vOii~lly C4 %be
oloctrom tu We (D.E.a)

iv=/F~Yiics Paramagnetism.. 21'
~.Dec:5S
"Paramagnetic Dispersion," A. Akhiyezer and
I. Pomeranchuk
"DAN SSSR" Vol 87, No 6, PP 917, 9.18
Introduce definition of "magnons" (certain devi-
ations from distribution of magnetic electron
moments which are propagated in a crystal in
form of a wave) and assume that they obey Fermi-'
Dirac statistics. Attemp to explain why suscep.,,,
tibility of paramagnetic dielectrics becomes in-
dependent of temp at low temps. (cf. B. Cabrera,,~
Rep Inst Phys Solvay, 6, 183, 1932). Presented,by,
Acad L. A. Landau 11 Oct 52.
24oT94,

~- '.' r~-- - I - I -
-IAII 7- &TOM 6 M;blL-li- -1
!~;-,

AKHIYEZER, A.
Radiative Corrections to the Scatterinv of an Electron by an
Electron, A.
Akhiyezer and R. Polovin. DAV SSSR Vol.90, no. 1. pp-55-57,
1953
Interaction of electron with zero oscillation of
electromagnetic field and
polarization of electron-positive vacuivi lead to additional
electron scattering
in a specified external electromagnetic field. T,'Lis should
be considered in
electron electron scattering. Corrections are computed and
represented graphi-
cally. Presented by Acad, L.D.Landau, 10 Mar 53,

" 47~ -- , . -- 1. -~ c - -- ~ I-'-- -,~ t.-,~--_,
.. . ` -A ~ ~.: I I I , I ~ I
_:.. - - '.~4 ~ , ..,- - . I
I
RW,jlim. kniob L-'- -,. . - ..
. - -. 1?1 1 IV V"
., ...: vv

USSR/R~ysics-Endovibrators FD-1234
Card 1/1 Pub- 153-18/22
Author Akhieser, A. I. and Lyubarskiy, G. Ya.
Title Theory of coupled endovibrators
Periodical : Zhur. tekh. fiz., 24, 1697-1706, Sep 1954
Abstract : Proper frequencies of two endovibrators coupled through narrow and
and long slits in metallic separators are computed. The necessary
field equations are derived and integrated. Indebted to Prof. K. D.
Sinelnikov, P. M. Zeyllits, 0. Zavgorodnyy. Six references including
2 foreign.
Institution
Submitted April 3, 1954

-1- ~ - .
I

Endoii~rato' G FD-.3134
Card 1/1 Dab. 153 - 9119
Author Akhiyezer, A. I.; Lyabarskiy, G. Ya.
Title Theory of connected endovibrat-ors. II
Periodical Zhur. tekh. fiz., 25, No 9 (September), 1955, 1597-1603
Abstract The authors consider the propagation of waves in a series
of indenticAl
eadovibrators connected with one an-other by narrow and long slots
for
which the parameter a . 1/(ln[L/dl) is considerably less than
unity, where
L is the length and d is the width of the slot. Tn the series it
is possi-
ble then to have the propagation of both endovibratorial and also
slot
waves whose 'Length is determined by the length of the slot. The
pass band
in both cases is proportional to tne above parameter alpha,
excluding the
case of resonance between endovibrator w~A slot waves, when the
band -re-
mains proportional to the square root of alpha. The displacement
of fre-
quency in the absence of resonance both for endovibrator waves and
also
for slot waves is proportional to parameter alpha and this
frequency shift
is a linear function of the cosine of psi, the shift in phases
between'the
oscillations in two adjacent endovibrators. Tn the case of
resonance the
displacement in frequency is proportional to tiie square root of
the linear
function of cosine of psi multiplied by parameter alpha. The
authors thank
K. D. Sinellnikov, Ya, B. Faynberg, and P. M. Zeydlits, and. 0.
Zavgorodnyy.
Ore reference: ibid., 24~ 1697, 1954.
Submitted APrJ-I 1, 1955

USSR Radiophysics I
Abs Jour : Ref Zhur - Fizika, No 4, 1957, No 9918
Abstract : in that case when the undisturbed beam
velocity exceeds
a certain critical value. Me smaller the coupling
between
the resonators, the smaller this velocity. Thus, in a
chain
of resonators it is possible to propagate a
space-charge wa-
ve and electromagnetic waves with increasing amplitudes.
It is shown that as regards the character of the
propagating
vaves,,the resonator chain with a beam is analogous to
a va-
veguide filled with dielectric, through which a beam of
par-
ticle passes.
A connection is established between the increasing waves
of the field and the space charge density and the
Cherenkov
radiation of each individual particle.
card 2/2

NNim !iir, .. -a . I ; ~ . j . I ~.

AKHIME~, A.I.; SITINKO, A.G.
Charge-field interactions in cavity resonators.
Uch.zap. XHGV
64 no.6:5-7 '55- (MM 10:7)
(Electrons) (Electric fields)

eel
'Y LO 21-1 C
1. USSR/Nucloar,. Physic a Nuclorr Reactions C-5,
-Abs-Jour ;.Retzhur Fizik6j No 3, 1957P No 6057
Author Sotonk o, A.G.,
Title S-Concerning tho'Theery of the Couteron Splitting Reaction.
Orig,Pub Uch. zap'. Xh6r kovsk,' u-nt, 1955, 64, 9-12
Abstract iIf.the ohr-ngq in tho romontum of t dautoron is sufficiontly
as.r. rosuli-I.of-diffroction serttering of repid-douter-
lergo,
on6 by..c.-nudloue,-doutbron'oplitting is possible. The-cross
section.of t6,afffrrction splitting is spproximatoly'!TtRR,, i.o,
of the sme toron br",-k-
order as the cross section of the dou
up, observed by Sar.)or (Serborg R., Pbysiorl Review, 1947,
72, 1008). Using.tho known expression for the emplitudo of
the nucleer rer-OUIO
Y,
A n
P/;~
and rcplt,.cinf and
!:n -r d 'function do cribiyig he
ry, 1- by tho wave
diffAotioD of ProU~s* neutrons, end deuterons, respectively
Orrd

V
Category : USSR/Electronics - Gas Mscharge and %as-Rischarge
Lnstruments H-7
Abs Jouz- :Ref Zhur - Fizika, No 1, 1957, No 1709
Author :Akhiyezer, A.I., Lyubarskiy, G-Ya.
Title fan the.Stability of the Distribution Function of Electron
Plasma.
Orig Pub :Uch. zap. Xharllt;vsk. un-ta, 1955, 64, 13-16
Abstract :An investigation was made of the stability of the
stationary state in
electron plasma in response to aftall distunbanyes. It was
established
that any monotonically decreasinj energy-distribution function
is stable
with respect to arnall d~.ptymbances of the field and of the
density. It
is also shova that an electron beam of 19w density is unstable
in the
plasma for all electron velocities in the beam and for any
dependence of
the plasma electron distribution functions on the energy.

~'iAKVIIYB Z F-R,
USSR/Nuclear Physics Buzzlear Reactions, C-5
Abst Journal: Referat Zhur - Fimika, No 12, 1956, 34o54
Author: Akhiezer, A. I., Sitanko., A. G.
Institut-ion: KharIkov 'Utiversity, KharIkov., USSR
Title: On the Theory of the Nuclear Fhotoerfe~-t
Orig:Ujal Periodical: Uch. zap. Xharlkovsk. un-Ta, 1955, 64p 67-72
Abstract: It is shotim that in addition to the process of evaporation
of the nucleon
from the nucleus and rX the photoeffect by an individual nucleon, the
photomucleons
cAn also be produced by the following mechanism: the additional
nucleon interacts
with the surface oscillations cf the vacleus., which interact in turn
with the elec-
tromagn'etic wave (interaction of the quadrupole mozent of the
nucleus with the elec-
tromagnetic field of the wave). Using perturbation theory, the
authors obtain an
approxixate expressicn for the cross, section of the quadrupole
photonuclear effect.
The ratio of the cross section of the quadrup?le transition to the
cross section of
the dipole transition is act 1 Z 2 / w \ /W N2 ftw 'A 2 A2/3 where Tw
is the
k7+w2l ~72) OM
I of 2

USSR/Suclear Pkyaics - Nuclear Reactions, C-5
Abst Journal: Referat Zhur Mika, No 12j, 19556, 34o,;4.
Author: Akhiezer., A. I., Sitenko, A. G.
Institutiont laarIkov Univeroity~ Kbarlkov., USSR
Titlei On the Theory of the Nuclear Photooffect
Original Pericodicali Uch. cap. Xharlkovak. un-ta. 1955, 64~, 67-72
Abstract: energy of the incident photon and ?Iwo, is the difference
between the
nearezt levels of the residual nucleus. if A - 100 and-twp - 2-3
Mev, them at
tv !~ 17.5 Mev this ratio w4_11 be cm the order of 0.1-0.05.
2 of 2 2 -

AXHIYEM, A.I.;,LYUBARSrIY, G.Ya.; PAYMRG, Ya,.B.
I"
Ronlineeir theory of oscillations in plRsma. Ueh.zap.
KEDU
64 no.6;73-80 155. (MLRA 10.7)
(Ilectric discharges through gases)

tg

r

RTER
R

-
I
qDMj gMoll nEMTWG FROM TE
N
0

AC'nON OF TO ZLECTEMUONrM T03D wil THE

OY_WjAR CHARGIM IPARMLE& A.

AEm-w.--T
AleWn. aM D., U-Pkl-V
X_

_
-
&&S_TL 1014, 830-3(1955) OCL 21. (ft RumlW

amelas c4 nom,-Umar effeds
(scaUering of UW by 1%&,

zndmr cobereal scsUarhW of y myx, etc.). Stud
&B of this

grffcct b the electr='qz&mlcm of a paMcle wilb &"o-sph

arv
mula. (R.V.J.)

A1011YEMR, A. 1. (Khijrlkov)
"Theory of Relaxation and Kinetic Processes in Ferrodielectrics
at
Low Temperatures," paper presented at the International
Conference on Physics of
Mg-netic Phenomena, Sverdlovs4, USSR, 23-31 MY 1956.

AKHrYEZER, A. I. and SITENKO, A. G.
"On the Diffractional Disintegration and Scattering of Fast
Neutrons by Nuclei"
and
"Note on Nuclear Photo Effect" papers presented at the
International Conferenco on
Nuclear Reactions, Amsterda3p, 2-7 July 3.956.
D551274

1u

&-9281 fursdamental

n, - ~A ., *--. I
.z.!-,~W:r " _.-
-. . m " ~

11437.- LRAIP~41-
T the

USSR /Bleotronics H
Abs Jour t Ref Zhur Fizika, ijo h. 1957,, ifo 9816
Abstract t plasma. For a plagma without external
magnetic field, it is
shown that the solutions obtaineo are equivalent to
the m-
tion of an unrelativistic particle of unit mass in a
field
with a potential energy determined in this article.
On the
basis of the general equations,the authors consider in
greater detail the following plasma motions: small
oscil-
lations of plasma (in the first and second
approximation)..
longitudinal oscillations without limitation of the
oscil-
lation amplitudes2 where the dependence of the period
of
such oscillations on the amplitude of the velocity is
found;
transverse oscillktions,, which have purely circular
polari-
zation, and particular cases of coupled
longitudinal-trans-
verse oscillations with types of polarizations that
are uni-
que to them. The frequencies of all tle. types of
oscilla-
tions considered are determined.
Card 1 2/2

aTf
MEE=
S~

I
AMMM As L# FAMMO Us Bqj LYUBARSKIYp G, Ya.
"Cerenkov Radiation and the Stability of Beams in the
Wave Guides
of Slow Wafts used in lAnear Accelaratorag" paper
presented at CWtN
Symposium, 1956, appearing in Nuclear Instruments, No.
1, pp. 21-30, 1957

56 4--P-0/52
-AUTHOR AKHTPZER A.1 SITENK
TITLE 0 ~D! reation ScattoriDg of Fast Deuterons By Nuclei
(Oldiffraktsiorkm rassVanii bystrykh dsytono-,,, yaeramio Russian)
PERIODICAL Zh4nal,Ekspirim. i- To .6r at. Fizikiq 19571 Vol 32, Arh,
pp-794 - 805-
(U.S.SjR
ABSTRACT The,paper-''~nder,rairiew'datemines the cross sections of the
elastic
scattering and- Ibf.the'diffraction spallation of f Ast deuterons by I
9)_
solutely black: nueleii It'a'13o*datermines the onergy'di .itribOtion of
tbo.'spallation.products" It is possible to determine the diffraction
scattering'of p pnetiform by'absorbing,nuclei with .the aid of the opti-
oal method using the Huygens principle. In order to generalize this..
method for-douterono, the authors of tbe paper.undor,review firot.of
all investigate-the problem of the diffraction scattering of.punoti-,
form particles by aboorbing'nuclei. This method of invsstigation.per-'
mitsto make tho.goneralization for tha case of.the diffriction seat'
toringox emposed particl#$ with weak couplingsiog' of.douterons I -by
absolutely black nuclei. In this context it is necsssary~,to'.takainto
aacount'the motion.of the centers of mass of the douterohi as.well as
tho,ielatiii motions of the neutron and of the protbii in the deuteron.
~ . . ~p, ui~d - ~ - ~
The aper, or review'procoods to derive expresaians'for t,'ne-dif-
forential and for the integral cross section of the elastic aqatterpg.
and of the diffraction spallationv and also an expression for the
iiite__
Card 1/2

a0mv,*~X.1's LYUBWMI Gas..
un %be Absorptlen of UXtrAsonics in Metals
(0 Poslashobsnit ulltiamtof v metallakh. Russian)
Duraal. lJoyer3se t.T4 sirete Fisikii, 1957a Vol 320 Kt- 4P 837 Wal
(U*S*SGR*)
VisaInvestigatinS the absorption of sound vibrations in solid bodiesp
ve tAvi to distinguish between two cases. _~(&) the frequency of, the
sound vibrationit4 is considerablv higher than the reciprocal value
of
the relaxation time 9- ~ (b) W ~X 117% In this first case (w T>> I )
it
to possible te, treat the absorption of sound as an abterption of
sound
qAanta ''With the - energy 11 t~ and with the impulse t I (k denotes
the
TWO Tooter of,the sound w&vo)o This absorption takes place as.result
oUthe collision* of the-sound quanta with the quasi-particles
eharac..
tor$sing'.ths energy spectrm of- the solid bodyp is*. in the usual
di-
9196tj~ia media with the phonons. ani in the metals with electrons
and
phosions,'In the second case (w 7* 0, n (x0) = 0 at X > as. Here 9D is the Debye temperature, 0 C
the Curie temperature. a s and a I are the specific heats of the spin
waves and the lattice respectively. There are Soviet references.
ASSOCIATION: Fiziko-tekhnicheakiy institut AN USSR Khar1kov (Institute
of Plxysics and TechnoloRv of the AS UkrSSR. Kharlkov)
SUBMITTED: April 4, 1960
Card 3/3

S1053160 071/004/001/004
B004/BO5~
AUTHORS: ,,,,~hiy~ezer Barlyakhtarp V. G., Kaganovq M. I.
TITLE: Spin Waves in Ferromagnetics~kana Antiferromagnatics I
PERIODICAL: Uspekhi fizicheskikh nauk, 1060, Vol. 712 No. 4,
pp. 533 - 579
TEXT.- The present paper deals with the essential properties of the
energy spectrum of a ferromagnetic near magnetic saturation. The
follow-
ing properties depend on this spectrum at low temperatures: The
inter-
relation between the magnetization of the ferromagnetic and
temperature
as wall as with the external magnetic field; the thermal properties
of
the ferromagnetiop the relaxation of the magnetic momentp and the
beba-
vior of the ferromagnetic in electromagnetic alternating fields and
in
sound fields. In orystalaq the deviation of the magnetic moment of
an
atom from the predominant direction does not remain localized on the
atom, but it propagates as',a wave, which is called spin wave. In
the
present paperg the ferromagnetio theory is dealt with as follows
from
the viewpoint of the spin waves; I. Energy spectra, thermal and
magnetic
Card 113

Spin Waves in Ferromagnetics and
,A.ntiferromagnetics I
S/053/60/071/004/001/004 -
B004/BO56
properties of ferromagnetics and 'antiferromagnetics. 1) Spin
wayes in
ferromagnetics. Definition of the microscopic theory of spin
waves.
2) The phenomenological theory of spin waves. (The spin wave is
defined
as an oscillation of the magnetic moment of the ferromagnetic).
3) Deri-
vation of the quantum theory of spin waves by proceeding from
the pheno-
menological Hamiltanian of the ferromagnetic, 4) The
high-frequenoy
properties of ferromagnetics and ferromagnetic resonance. Here,
the
natural oscillations of the magnetic moment are investigated in
finite
samples, whose dimensions are considerably smaller than the
damping
length. This condition does not apply to massive ferromagnetic.
metals
because of the skin effect, and therefore 5) deals with surface
im-
pedance. 6) Coupled magnetic and elastic waves and ferroaooustic
re-
sonance. In 7) the energy spectrum of antiferromagnetics is
investigated
by means of the phenomenological method. 8) Thermal and magnetic
proper-
ties of ferromagnetics. From the spin-wave spectrum the magnetic
moment
of the ferromagnetic may be determined as a function of
temperature and
of the magnetic field, an well as the contribution made by the
spin
waves to the thermodynamic parameters of the ferromagnetic. In a
similar
manner, 9) deals' with the thermal and magnetic properties of
antiferro-
Card 2/3

Spin Waves in Ferromagnetics and B/053/60/071/004/001/004
Antiferromagnetics I B004/Bo56
magnetios. In the next issue of this periodical, the last
part-of-this
work will be published: II* Interaction among spin waves and
between
spin waves and lattice vibrations. Relaxation processes and
kinetic
processes. The authors mention papers by Ya. I.-Frenkell and
Ya. G.
Dorfman (Ref. 5), Ye. Lifshits (Ref. 8), L. Landau and
Ye.,Lifshits
Ref. 11 , a paper by the authors in collaboration with S.
Peletminskiy
ef. 12~, V. Gurevich (Ref. 30), A. Borovik-Romanov (Refs.
39,40)p
R
I. Dzyaloshinskiy (Ref. 41), Ye. Turov (Ref,, 42)o and N. No
Bogolyubov
and So V. Tyablikov (Ref. 15). There are 6 J!igures and 55
references:
36 Soviet, 13, USP 3 British, 2 Dutch, 3 French, and 3 German.
Card 3/3

83985
S/05 60/072/001/001/005
,?,413 00 (103,r1P39'j11Y3) BOI 3YB060
AUTHORS: Akhiyezer, A. I.., Barlyakhtars V. G I Kaganovj M. I.
TITLE: Spin Waves in FerromaRnatiosoland Antiferromagnetics. II
PERIODICAL: Uspekhi fizicheskikh nauk, 1960, Vol- 72, No. 1, PP- 3-32
TEXT: This is the second part of an article published in "Uspekhi
fizicheskikh nauk"q 1960, Vol. 71, 533, and is devoted to the interac-
tfon of spin waves with one another and with lattice vibrationfiand.
furthermore, to the relaxation- and kinetic processes7T lo de 1's with
the fusion and splitting of spin waves and their scattering on gpin
waves. The authors restrict themselves to considering electratA and,
therefore, take into account, aside from the interaction of s in waves
with one another$ also their interaction with phonons (Ref. 1~. The
Hamiltonians of the interaction of spin waves are set up, the use of
which is restricted to the temperature range below the Curie
temperature.
The probabilities of fusion and splittingg as well as the scattering of
spin waveal are calculated. ~ 11 deals with the interaction of spin
waves with lattice vibrations. The interaction of spin waves with one
Card 1/3

Spin Waves in Ferromagnetics and Anti-
ferromagnetics. II
83985
8/053/60/072/001/001/005
B013/Bo6o
another was found 11,o be stronger than their interaction with
the lat-
tice. This allows the conclusion that the equilibrium in the
spin wave
system is more quickly brought about than the one between spin
waves and
lattice. For this reason, the temperatures of spin waves and
lattice may
differ. The temperature balance is discussed in ~ 12 together
with the
relaxation of the magnetic moment in electrets. The course of
relaxation
of the magnetic moment in electrets can be explained on the
basis of the
probabilities the authors established for the interaction
processes. in
� 13, the authors deal with the dispersion of magnetic
permeability of
a ferromagnetic dielectric. The complicated character of
relaxation
established in the precedin&_ chapter influences the dependence
of the
electret susceptibility on frequency (Refs. 1,7). The case of a
longi-
t~udinal magnetic alternating field polarized along the
equilibrium mag-
netic moment is examined, i.e., the longitudinal component of
magnetic
permeability is calculated. When frequencies are sufficiently
high it
is more expedient not to speak of a calculation of
susceptibilityV but
rather of an absorption coefficient of the photon. This
coefficient is
determined as the difference of the probabilities of all of the
absorp-
tion and emission processes of the photon. A formula for
determining the
Card 2/3

83985
Spin Waves in Perromagnstica and Anti- S/053/60/072/001/001/005
ferromagnetics. II B013/BO60
dependence of the photon absorption coefficient on frequency is given
(13,20)1 it can be applied to all limiting cases. The last chapter of
the present article ( 514) deals with the thermal conductivity of e1
so-
trets. It can be calculated from the spin wave interaction Hamiltonian
and the spin wave phonon Hamiltonian, as well as the phonon - phonon
interaction Hamiltonian. There are 10 Soviet references.
Card 3/3

5/056/61/040/003/62 031
0 7/
B113/B202
AUT HORS s Akhiyezer, A..I.p Lyubarskiy, G. Ya.f Polovint R. V.,
.1ITLE: Stability conditions of the electron'distribution function in'
the plasma
PERIODICALt Zhurnal eksperimentallnoy i teoreticheakoy fiziki, 40,.
no- 3, 1961, 963-969
TEXT: The authorsvdeal with the problem of the stability of the eleotron
distribution function toward plasma oscillations. The behavior of these
functions at t ---?, oD (t-time) is determined -by special points of
their
Laplace transforms T and f with respect to time (p i(J, C.) complex-
p P
oscillation frequency). In the free plasma y and f are connected by
P p
f u +iku)- fg(u)+ikem- T fl(u)~ (1) where u is the projection of.thei
(p
p 0
p
electron velocity on the wave veotor it, f (u) the initial function of,
the
0
distribution of u, and g the initial value of f(u,t). !Vhe necessary and
sufficient condition for the stability of the distribution function
Fo(v)
Card

22147
S/056/61/040/003/027/031
Stability conditions of ... B113/B202
j
~~,Is given by.the vanishing of the roots of L
CO
f0 u)du
ks 1p
QS)
(3)
:'plasma frequency) in the upper semiplane a at an arbitrary.value
-0
k('k> 0). The criterion for the stability of the distribution function
CO
-f -(u) has, the form
0 1 Xa) da
01"! "~ < 0. (U'I) 0, Quj) > 0. (6)
IU - U1
'from which it follows that a distribution function having only one
maximum:
'i's stable. This stability condition was observed by P. L. Auer (Ref-7:
.,,-:Phys.Rev..Lett-,l.t4llt.l958)- If the distribution function has
two maxima,
the. function will not be stable. A further condition is that any
spherically symmetriodl dietribution.function F (jvj) which is nowhere
T,
~'-j veinishing is stable. Since"**'
Fo (v) dv.L F0 (p~u ~+ v.Ldo.L
holds, where v looity component of the electron which is
is the ve
0 rd 2

!
it
dit
S105616.110401
003/027/031

con
y
ions of...

B113/3202
-'

PP:~tendidular to k, fi(u)
- 0
"f
-2nuF (Jul) j
B
~kd
Obtained. Hence (3) t

'

orm
.
a
s
0

on thel

!L
n I Ju. du...
2

S-U

0

f-rom-
which

re V g8 1)
2
2

M.

it
2n
~U
tsPo (I
W

-follows.

The stability cond
O

'
ition leads
o
t f

u f ment of the i
-
n

00
~equalityl
F
Q u du