# SCIENTIFIC ABSTRACT KOVRIZHNYKH, L. M. - KOVRIZHNYKH, L. M.

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CIA-RDP86-00513R000825630011-5

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RIF

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S

Document Page Count:

43

Document Creation Date:

November 2, 2016

Sequence Number:

11

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Publication Date:

December 31, 1967

Content Type:

SCIENTIFIC ABSTRACT

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CIA-RDP86-00513R000825630011-5.pdf | 2.47 MB |

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KOVRIZHNYKH, L. M., Cand Phys-Math Sci -- (diss) "Kinetics of plasma
under external fields." Moscow, 1960. 7 pp; (Physics Inst im P. N.
Lebedev of the Academy of Sciences USSR); 150 copies; free; (KL,
17-60, 139)
84726
S/057 60/030/010/006/019
J-1 6. *131!~ -zro'7, 2307,,240-7 BOI 3YBo63
/ 0. JD 0 0 0 Ll~
AUTHOR: Kovri~hnykh, L. M.
TITLE. Instability of Longitudinal Oscillations of an-Electron -
Ton P ma.Located in an External Electric Field
PERIODICAL: Zhurnal tekhnicheskoy fizikiq 1960. Vol- 30, No. 109
pp. 1186 - 1192
TEXT: The instability of longitudinal oscillations of an electron - ion
plasma located in an external electric field was studied for the case of
adiabatic variations of its parameters. Stability criteria and formulas
for the growth increment were determined. The following results were ob-
tained: Application of an external electric field to the plasma leads to
a drift of electrons with respect to the ions. On the other hand, fluc-
tuations of the charge density cause plasma oscillations. At sufficient-
ly small relative velocities, the existence of a drift has practically
no effect onvthe character of oscillations. As soon as this velocity
exceeds a certain value determined by the plasma parameters, the oscilla-
tion amplitude starts increasing with a -wavelength that is larger than
CaTt-l-/5
84726
Instability of Longitudinal. Oscillations of S/057/60/030/010/006/019
an Electron - Ion Plasma Located in an B013/BO63
External Electric Field
the Debye ionic radius. The :energy of the orientated particle motion
passes over into the oscillation energy. The period-of time during
which the oscillation amplitude of the harmonic increases with the
proper wavelength, is determined by -the law of the change in time of the
mean orientated velocity of the electrons with respect to the ions, and
increases with a decrease of the wave number k. The greatest danger is
caused by disturbances whose wavelengths are larger than the Debye
ionic radius, and for whibh the duration of instability is sufficiently
long. The instabilities under consideration may occur in the case of an
apparatus for which an external electric field is used to heat the plas-
ma or for other purposes (e.g.9 "gas betatron" - Ref.9). The anomalously
short lifetime of plasma in a stellarator (Refs. 10 and 11) is obviously
also related to such instabilities. The author thanks M. S. Rabinovich
for his interest in this work. G. V. Gordeyev is mentioned. There are
2 figures and 11 references: 8 Soviet.
A-I
CafP_"
KOVRIZMMM, L.M. -. RUKUMS. A.A.
Instability of longitudinal oncillAtions of an electron-
ion plaama. Zhur.ekep.i teor.fiz, 38 n0-3:850-853
Mr 160. (MM 13:7)
1. Fizicbeskiy Institut, im. P.H.Lebodova Akademii nauk SSSR.
(Plasma (Ionized"gases))
~2 S/056/60/039/004/027/048
'f f B006/BO63
AUTHOR: -Kovrizhnykh, L. M.
TITLE: Shock WavesIin Relativistic Magnetohydrodynamics
PERIODICALt Zhurnal eksperimentalinoy i teoreticheskoy fiziki, 1960,
Vol. 39, No. 400), pp. 1042 - 1045
TEXT: As equation for a relativistic StoBadiabate shook adiabatic was
given by Hoffman and Teller in their magnetohydrodynamics studies (Ref.1).
The properties of this shock adiabatic are studied more exactly by the
author of the present paper, and a relation between the various thermo-
dynamic quantities holding on both sides of the diecontinuit- are
obtained for the case where the shock wave propagates perpendicular to
the field direction, and so the magnetic field vector lies parallel to
the plane of discontinuity. First, the continuity equations are written
down, wherefrom equations for the front velocities are derived and the V
following relation is obtained for the shock adiabatic:
2 g 2 It 2 2
n - w_~//n + (p, - P*)FW n + W~/n 0 (w - thermal function,
1 2 ? 2 1 1/ 1
Card 1/3
644W
Shock Waves in Relativistic Magnetohydro- S/056/60/039/004/027/048
dynamics B006/BO63
p - pressure, n - particle density; the subscripts 1 and 2 refer to the
regions*in front of and behind the wave front, respectively; P~'= P+HI/8K'
W& = 6~ + pW - e + H2/8n + p + H2/an ; e - internal energy per unit
volume). The general equations (4) obtained for vi and (5) obtained for
the shook adiabatic are then studied for various limiting cases: a) Non-
relativistic equation of state, p