HYDRODYNAMIC OSCILLATIONS OF A NON-UNIFORM, LOW-PRESSURE PLASMA IN A MAGNETIC FIELD

Journal Article · Thu Apr 11 04:00:00 EST 1963 · Doklady Akademii Nauk SSSR (U.S.S.R.) English translation currently published in a number of subject-oriented journals

OSTI ID:4711848

Kovrizhnykh, L M; Lovetskii, E E; Rukhadze, A A; Silin, V P

Second order diferential equations of the type lambda /sup 2/y" + q ( omega ,x) y = 0 must be solved in considering the stability of a non-uniform plasma. Here, lambda is small compared to the value of the function q( omega ,x). Symptotic solutions of the second-order differentiai equations can be used to find criteria for instability of a plasma. This method, adopted from the field of geometrical optics, was applied to the problem of longitudinal oscillations of a cold plasma in a gravitational field. The instabilities of the plasma were analyzed in a general way. The method was also applied in analyzing the oscillations of a non-uniform plasma contained by a strong magnetic field for the case where the magnetic pressure is significantly greater than the kinetic pressure. A dispersion equation was derived for determining the spectrum of oscillations in a non-uniform plasma. The stability limits of the plasma were analyzed. (TTT)

• Research Organization: Lebedev Inst. of Physics, Moscow
• NSA Number: NSA-17-029678
• OSTI ID: 4711848
• Journal Information: Doklady Akademii Nauk SSSR (U.S.S.R.) English translation currently published in a number of subject-oriented journals, Journal Name: Doklady Akademii Nauk SSSR (U.S.S.R.) English translation currently published in a number of subject-oriented journals Vol. Vol: 149; ISSN DANKA
• Country of Publication: Country unknown/Code not available
• Language: Russian

Related Subjects

CONFINEMENT
DIFFERENTIAL EQUATIONS
DISPERSIONS
EQUATIONS
GRAVITATION
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
OSCILLATIONS
PHYSICS
PLASMA
SPECTRA
STABILITY