Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10728170 | Physics Letters A | 2005 | 11 Pages |
Abstract
Analytical expressions for short-time correlation functions, diffusion coefficients, mean square displacement, and second order statistics of many-body systems are derived using a mean field approach in terms of nonlinear Fokker-Planck equations and Vlasov-Fokker-Planck equations. The results are illustrated for the Desai-Zwanzig model, the nonlinear diffusion equation related to the Tsallis statistics, and a Vlasov-Fokker-Planck equation describing bunch particles in particle accelerator storage rings.
Related Topics
Physical Sciences and Engineering
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Authors
T.D. Frank,