Solution of the Fokker-Planck equation for a particle crossing a square well barrier
β Scribed by B. Nowakowski; H.L. Frisch
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 338 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0735-1933
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β¦ Synopsis
The Fokker-Planck equation is solved exactly for a thermalized particle crossing a square well barrier.
The Laplace transform ( in time ) of the particle density is obtained explicitly, and is evaluated analytically for the long time range. For this time regime the effective barrier width is to the first approximation the same as for the corresponding Smoluchowski equation.
π SIMILAR VOLUMES
The Vlasov-Fokker-Planck equation is a model for a collisional, electrostatic plasma. The approximation of this equation in one spatial dimension is studied. The equation under consideration is linear in that the electric field is given as a known function that is not internally consistent with the
Using the IMSL package TWODEPEP, the full non-relativistic Fokker-Planck equation is solved numerically for the runaway electron distribution function in the presence of a dc electric field. A set of partial integro-differential equations derived from a Legendre expansion of the Fokker-Planck equati