Damping of Plasma Oscillations in the Linear Theory

Journal Article · Sun Jan 01 04:00:00 EST 1961 · Physics of Fluids (New York)

DOI:https://doi.org/10.1063/1.1706229· OSTI ID:4815564

Hayes, John N.

The problem of stable oscillations of an infinite plasma is re-examined from the standpoint of an integral equation for the electric potential in the plasma. The behavior of a plasma with a Lorentz distribution is solved completely. How one may compute, under suitable restriction, the initial velocity distribution is shown when the electric potential is specified for all time. An initial velocity distribution is then solved which yields an electric potential which is nonoscillatory in character and damps as a Gaussian distribution in time; the initial velocity distribution is proved to be an entire function in velocity space. Since this result is contrary to that of Landau, his method of determining the electric potential is re-examined.

• Research Organization: Naval Research Lab., Washington, D.C.
• Sponsoring Organization: USDOE
• NSA Number: NSA-16-003781
• OSTI ID: 4815564
• Journal Information: Physics of Fluids (New York), Journal Name: Physics of Fluids (New York) Journal Issue: 11 Vol. 4; ISSN 0031-9171
• Publisher: American Institute of Physics
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DAMPING
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ELECTRIC POTENTIAL
OSCILLATIONS
PHYSICS
PLASMA
STABILITY
VELOCITY