We study the effect of a time variation of a bistable potential on Kramers relaxation and on Suzuki's fluctuation enhancement, for a system described by a one-variable Fokker-Planck equation, in the limit of a small constant diffusion coefficient. We show that the two processes must be described wit
Collective modes in some Fokker-Planck Coulomb systems: One-dimensional case
โ Scribed by Amal K. Das
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 381 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0378-4371
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โฆ Synopsis
The collective modes in two Fokker-Planck Coulomb systems are studied in one dimension and in the long wavelength limit. The Fokker-Planck "friction coefficient", which can be related to the viscosity of the medium through the Stokes' law, is treated as a parameter. In a single component system it is shown under what circumstances the propagative plasma mode can become a diffusive mode. Depending on an inequality involving the friction coefficient and the plasmon frequency, the collective mode can illustrate certain properties of the so-called central peak. A two-component Vlasov-Fokker-Planck system exhibits three modes analogous to the Rayleigh scattering in a viscous fluid.
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