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

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000100610007-6
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 5, 2000
• Sequence Number: 7
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

S/115/63/ooo/oo3/0-07 016
E192/E382
AUTHOR: A.N.
TITLE: Design of wideband waveguide directional couplers
PERIODICAL: izmeritellnaya telchnik a, no. 3, 1963, 50 - 52
TEXT; . .The paper was read at the Fourth All-Union Conference~
-of MVSSO, Kharlkov in 1,960. The design is considered of
directional couplers With identical, equidistant ly-spac ed,
circular coupling apertures, situated on the wider urall of the
two rectangular wavesuides. The analytical approach is based or.
first determining the transmission attenuation and directivity of
an individual coupling aperture and then taking into account the
interaction of n apertures and interference of the reflected
-aves an4 calculating the attenuation and directivity of the
coupler. The attenuation and directivity of an aperture can be
based on the author's-formula (Zhurnal teldinicheshoy fizilci, 196o,
no. 7):
Cnrd
7;Z

i -ti i~ T- -i
SA
1-031ACO/003100. 76
87.zw"
c -20 I~z
tb -y
u
1. 193
_.C_ard 2/11
c 0 3

5/115/63/000/003/007/010
De.9ign of vridoband .... Z192/E382
where d is the diameter of the aperture, a and b aro the
wider and narrower wall cross-sections of the waveguide,
y = 2"r/Xa where X a is the wavelength in the wavegulde, h is
the distance of the aperture from the axis of the waveg'uidoand
~i eand (11, are coefficients taking into account the wall thick-
ness t In a coupler 'trith n equidistantly-spaced apertures,
C66 C1 20 log n
- n s in
~7:
a G,7
Sin
wh ore tp 2--rf wh or e is the distance between the
neighbourinig ape4ures. The first term in Eqs. (3a) and (3i:-)
represents the attenuation and directivity of an individual
aperture, while the second term takes into account the interaction
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AUTHORS:
Akhiyezerl I* A., Polovin, R. Vs SOV/56-36-6-31/66
TITLE:
On the Theory of Relativistic Magnetohydrodynamic Waves

(K teorii
relyativistbkikh magnitogidrodinamicheskikh voln)
PERIODICAL:
Zhurnal
eksperimentallnoy i teoreticheskoy fiziki, 19599

Vol 36, Nr 6p PP
184.5-1852 (USSR)
ABSTRACT:
In the introduction the authors discuss
the paper by Hoff-

mann and Teller (Ref 1) in which the equation of
the non-

telativistic shook-adiabatic was derived . However, neither

the problem of the stability of relativistic magnetohydro-

dynamic
shock1waves was investigated, nor was.1the Tsemplen

theorem verified,
andp besides, the problem of the direction

of the variation of the
magnetic field in tbashock wave was

investigated only for special
cases. Also the questions

relating to the classification and the
particular features

of relativistic magnetohydrodynamic
discontinuities (contact-,

tangential-, Alfven-f fast and slow shock
waves-) were not.

investigated. To deal with all these problems was
the aim of

the present paper. Like in the case of ordinary
hydrodynamics,

the shock wave also in magnetohydrodynamics develops
from a

Card 1/3
-
49imple wave, in that every point of the liquid with a greater

On the Theory of Relativistic Malgnotohydrodynamic SOV156-36-6-31166
Waves
density also movesmith higher velocity. The authors first
investigate these simple plane waves; each of their values
may be represented as a function of the coordinates x and t
(Khalatnikov and Stanyukovich already investigated these
waves in'relativiatio magnetohydrodynamics). The authors base
their investigations on the system of the relativistic
magnetohydrodynamic equations in the case of vanishing viscos-
ity and infinite:61d6trio conductivity, and give a mathemati-
cal description of the Alfiren wave, the magnetosonic waves,
as well as of the fast and slow magnetosonic waves. In the
following chapter the discontinuities are investigated, viz
1) discontinuities which, relatively to the liquid) are at
rest (contact- and tangential discontinuities) and 2) such as
are in motion relatively to the liquid (Alfven and shock waves).
In the last part of the paper the Tsemplen theorem is proved
for shock waves of arbitrary intensity (in nonrelativistic
magnetohydrodynamics this has already been proved by
Iordanskiy, Polovin# and Lyubarskiy (Refs 16-18)). The theorem
states that in the shock wave pressure and density increase
Card 2/3 if ("a/.20w/n > 0. The authors finally thank

On the Theory of Relativistic Magnetohydrodynamic
SOV/56-36-6-31/66
Waves
A. I. Akhiyezer and G. Ya. Lyubarskiy for valuable dis-
cussions. There are 23 references, 17 of which are Soviet.
ASSOCIATION: Fiziko-tekhnicheskiy institut Akademii nauk
Ukrainskoy SSR
(Physico-technical Institute of the Academy of Sciences of
the Ukrainskaya SSR)
SUBMITTED: December 27, 1958
Card 3/3

TITLE: Simple Waves in the Chewp Goldberger, and Low Approximation
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, 19599
vol 37, Nr 3(9)v pp 756-759 (USSR)
ABSTRAM, Chewq Goldbe~rger, and Low showed that a dilute plasma in a
magnetic field in which collisions play an important rolet may
be defined by a system of magnetohydrodynamic equations with
anisotropio pressure,~'It is of interest to use these eauations
for investigating the nonlinear motions of a plas-ma,(aiove all,,.-
of simple waves). The present paper deals with this problem.
The system of magnetohydrodynamic equations has the following
form in the Chewq Goldbergert and Low approximation:
ft --'.* "Pik -a-+
F [curl 'H] , Fi H = our.1[vv'11]
dt + Xk I-b t
div H =0 + div P C~ + (p )h h
Card 1/4 (?7 ) = 0 Pik i ik 11 - P1 i k

Simple Waves in the Chewp Goldbergerp and SOV/56-37-3-25/62
Low Approximation
_+ d pi d 2
h H/11 tt �R) 0 -t-ROK) . 0
dt' 3
The author investigates one-dimensional plane waves in which all,
magnetohydro dynamic quantities are.fuuctions of one of*these
quantities (e.g. of () ). 9 on its part depends on the
coordinatex and on the time t:.x - V (?)t = f(?). V
denotes the translation velocity of the point where density
has a given value; f( a function which is reciprocal to the
density distribution 9 (x) in the initial instant of time t- 0.
f(~) a 0 holds for the self~-simulating waves in the ranges of
compression f'(9)O
The simple waves are closely connected with the waves of small
amplitudes. Like in magnetohydrodynamics with scalar pressure,
there exist 3 types of waves. The partly very extensive
differential equations of the Alfv6n waves and magnetic sound
waves are written down explicitly. The Alfv6n waves propagate
without changing their shape. Investigation of the equations of
the magnetic sound waves in general form frequently meets Yrith
Card 2/4 considerable difficulties. The authors deal only with the
most

Simple Waves in the Ghewq Goldbergerg and sovl56-37-3-25162
Low Approximation
interesting case in which hydrostatic pressure is considerably
lower than magnetic pressure. In the ranges withexpansion the
density gradient decreases, and in the ranges of compression it,
increases. In the ranges with expansion (f,>0) and in the
self-simulating waves (f - 0) density decreases. In the ranges
of the compression (ft---'O) density increases until a certain
expression written down by the authors becomes negative.
As soon as this expression equals zero, a compression shock
wave is formed. In a fast magnetic sound wave, the quantities
pa I- Pj. pi/pfi change in the same way as in the magnetic
sound wave. The authors then investigate a slow magnetic sound
wave. There are two possibiliti'es: (1) In the normal case,
density changes in the same way as in a faBt'magnetic sound
wave. Shock waves are formed especially in the ranges of
compres sion, and the self-simulating waves are expansion waves#
Card 3/4

Simple Waves in the Che.wp Goldbergert and SOV/56-37-3-25/62
Low Approximation
(2) In the abnormal.case the density gradient decreases in the
ranges of compression and increases in the ranges of thinning
In the ranges of expansion a shook wave is formed. In ccztrast
to. magnotohydTDdynamios with scalar pressurep expansion shook,
waves may form in this case. The authors thank A.10,Akhiyezer
and G.Ya. Lyubarskiy for useful disoussions. There are
8 referencesp 5 of which are Soviet.
ASSOCIATION: Fiziko-tekhnioheskiy institut Akademii nauk Ukrainskoy
SSR
,(Physical-technical Institute of the Academy of Sciencest
Ukrainskaya SSR) Institut fiziki Akademii nauk Graz. SSR
(Physics Institute of the Academy of Sciences of the*
Gruzinskaya SSR)
SUBMITTED: April 3v 1959
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AKHT -IA..;J~OLOVIN, R.V.
_L kZ F4, .
[Motion of a conducting plane in a magnotobydrod7namic
medium] 0 dvizhenii provodiashchei ploskosti v magnito-
gidrodinamicheakoi srede. Kharlkovt Fiziko-tekhn. in-t
AN USSR; 1960. 44-53 p. (MIRA 17:2)
I ~, I
. .I

AKH1TEZER, I.A.; POLOVIN, R.V.; TSINTSADZE, N.L.
[Simple waves in Chew's, Goldberger's and Low's approxima-
tions) Prostye volny v priblizhenii Chliup Golldbergera i
Lou. KharIkov, Fiziko-tekhn. in-t AN USSRp 1960. Page 57,
(MIRA 17:3)

AKMEZER, I.A.; POIMIN, R.V.
%i,
(Theory of relativistic magnetohydrodynamic
vaves] K teorii
re3iativistskikb magnitogidrodinamicheskikh voln.
KharIkov,
Fiziko-tekbn. in-t AN USSR9 1960. 54-55 P. (MIRA
17:1)

AKHIYEZER,, I.A.; POIDVIN, R.V.~-.
MDtion of a conducting piston in a magnotobydrodynamia zedimo Zhure
ekap.i tt.ft.fiz. 38 no.2029-533 F 16D* (MM 3J+.-5)
10 PJAIko-tekhnicheakiy inatitut Akademii nauk Ukrainskoy SSR.
'(Magnetohydrodynamico)'

S/0.56/60/036/06/CY7/012
B006/BO56~
Zezer, 1. A., Peletminskly, S. V.
AUTHORS: X.Akh~
lyI
TITLEt Application of Quantum-field Theoretical Methods for tha
Investigation of the Thermodynamic Pro2erties of a Gas
of Electrons and Pho
PERIODICAL: Zhurna:l eksperlmentallnoy i teoreticheskoy fiziki,
1960,
Vol- 38, No. 6, pp. 1829 .; 1839
TEXT: The idea and the method of applying the quantum field
theory for
the purpose of-1nvestigating the thermodynamic properties of
systems of
interacting particles date back to Matsubara. A. A. Abrikosov,
L. P.
Gor1kov, I. Ye. Dzyaloshinskiy, Ye. S. Fradkin, A. A. Vedenov,
and
A. I. Larkin have already occupied themselves with various forms
of
applying this method. It was the aim of the present paper to
derive
the thermodynamic potential of a system of electrons, positrons,
and
photons in consideration of the interaction between them with an
4 2
accuracy up to and including terms with e 1n9 , where e is the
electron
Card 1/3 AY

Application of Quantum-field Theoretical
S/056/60/038/06/07/012
Methods for the Investigation of the B006/BO56
Thermodynamic Properties of a Gas of
Electrons and Photons
charge. First, the idealized problem of the thermodynamic
potential of
an electron-photon gas with a homogeneous, positively charged
background
is investigated,.in which the background compensates the
negative
electron charge, so that the task consists in determining the
thermo-
dynamic potential of an equilibrium system. In the following,
also the
part played by the tons existing in physically real systems
is taken
into account (at not too low temperatures)'t and finally one
goes over
to the problem. of the energy of black~body radiation in
consideration
of the interaction between the photons and the
electron-positron pairs.
After a detailed explanation of the fundamental relations of
the thermo-
dynamic perturbation theory and application of Matsubara's
quantum-
field theoretical method, and after a discussion of the
invariance
properties of the polarization operator, the problem proper,
io so,
that of the thermodynamic potential, is dealt with.
Divergences appear-
ing in the high-momentum region of the virtual particles are
removed by
renormalizing the electron charge and mass, and by
redetermination of
the vacuum level. General expressions are derived, which take
relativistic
r.-A P/3

Application of quantum-field Theoretical
Hethods for the Investigation of tho
Thermodynamic Properties of a Gas of
Electrons and Photons
S/056/60/038/06/07/012
Boo6/Bo%
effects into account, and asymptotic formulas are derived for
the
exchange and correlation energies. Finally, corrections to the
black-
body radiation ene rgy for the interaction between photons and
electron-positron pairs are calculated. The authors thank A. 1.
Akhiyezer for advice and discussions. There are 1 figure and 9
references:
6 Soviet, 1 Americans and 1 Japanese.
ASSOCIATION: Fiziko-teklinichaskiy institut Akademii nauk
Ukrainskoy SSR
(Institute of Physics and Technology of the Academy of
SUBMITTED:
Card 3/3
January 12, 1960
V/_8

86903
S/056/60/039/005/020/051
B006/BO77
AUTHORS: Akhiyezer, I. Peletminskiy, S. V.
TITLE: Theory of the .114gnetic Properties of a Nonideal Fermi Gas
at Low Temperatures
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, ig6o,
Vol- 39, No. 501), pp. 1308-1316
TEXT; This is a study based on the quantum field theory of the effect
of
the interaction between particles upon the magnetic properties(~
epppcially
the' oscillations of the magnetic moment of a Fdrmi gas. The
autrmts,chose.
a simple model within the microscopic theory assuming that the
interaction
.of the particles is due to short-range forces and the system in
question
can.be regarded as a gas. Expressions are found for the change of
period
and the amplitude of the oscillation of the magnetic moment due to the
interaction between. the particles. The results-z'are valid in a
moderate
temperature :raiige (P f k" U/M
Card.

jA., -
S/05 61/041/002/oWdi6
to the theory of.*. B125 138
61'",As 'a completely antisymmetric tensorof thlrd~ra-nk. Ths'
.soat.tering of eleotrom e plasma 'is
agrietio waves by fluctuations in a fre
determined only by the electron density fluctua-tiona. For a plasma
located in a magnetic field H,- it is also necessary to take
account of.
0
the' fluctuations 6H of the magnetic field. In the absence of a
magnetic:..
fieldp the differential soatterink'poefficient for an unpolakized
wave
reads
2. 2
\2 + cos' 0) fl On, I%&. dodo). (28)
dY,
z,7
where 9 is the scattering angle, do is the element of the.oolid
angle k,
((Z) _ 1 _22 1,02, L _ F (W In this formula, the frequency can be
0 0
changed arbitrarily. In the presence of a magnetic fieldq the
expreasion,.,Ir.!~
UN,
Card 7/9

;S/056/61/041/002/026/028
Contribution to the theor
of
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