Landau damping of resonance oscillations in inhomogeneous plasmas†
Abstract
A self-consistent solution of the Vlasov—Poisson equations is obtained for a low-temperature, bounded, Maxwellian plasma of arbitrary non-uniform density. An eigenvalue equation for the central frequencies and electric fields of the resonance oscillations is obtained, which agrees with the equation obtained by a low-temperature expansion of the orbital-integral solution. The Landau damping rate is given in a general, explicit form in terms of the central frequencies and fields of the resonances.
- Publication:
-
Journal of Plasma Physics
- Pub Date:
- February 1970
- DOI:
- 10.1017/S0022377800004852
- Bibcode:
- 1970JPlPh...4..127D