Exact time-dependent solutions of the Renyi Fokker-Planck equation and theFokker-Planck equations related to the entropies proposed by Sharma and Mittal

Authors
Frank, TD Daffertshofer, A
Citation
Td. Frank et A. Daffertshofer, Exact time-dependent solutions of the Renyi Fokker-Planck equation and theFokker-Planck equations related to the entropies proposed by Sharma and Mittal, PHYSICA A, 285(3-4), 2000, pp. 351-366
Citations number
47
Categorie Soggetti
Physics
Journal title
PHYSICA A
ISSN journal
03784371 → ACNP
Volume
285
Issue
3-4
Year of publication
2000
Pages
351 - 366
Database
ISI
SICI code
0378-4371(20001001)285:3-4<351:ETSOTR>2.0.ZU;2-7
Abstract
Exact time-dependent solutions representing generalized one-dimensional Orn stein-Uhlenbeck processes are derived from nonlinear Fokker-Planck equation s and the corresponding diffusion processes are studied. The corresponding systems are related to the Renyi entropy and entropies proposed by Sharma a nd Mittal. In the former case normal diffusion is found with a diffusion la te depending on the order of the Renyi entropy. In the latter case we find anomalous diffusion processes. (C) 2000 Elsevier Science B.V. All rights re served.