Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics

Authors
Frank, TD Daffertshofer, A
Citation
Td. Frank et A. Daffertshofer, Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics, PHYSICA A, 292(1-4), 2001, pp. 392-410
Citations number
72
Categorie Soggetti
Physics
Journal title
PHYSICA A
ISSN journal
03784371 → ACNP
Volume
292
Issue
1-4
Year of publication
2001
Pages
392 - 410
Database
ISI
SICI code
0378-4371(20010315)292:1-4<392:MNFEAG>2.0.ZU;2-J
Abstract
Multivariate nonlinear Fokker-Planck equations are derived which are solved by equilibrium distributions of generalized thermostatistics. The multivar iate Fokker-Planck equations proposed by Kaniadakis and by Borland et al. a re re-obtained as special cases. Furthermore, a Kramers equation is derived for particles obeying the nonextensive thermostatistics proposed by Tsalli s. (C) 2001 Elsevier Science B.V. All rights reserved.