A Langevin approach for the microscopic dynamics of nonlinear Fokker-Planck equations

Authors
Frank, TD
Citation
Td. Frank, A Langevin approach for the microscopic dynamics of nonlinear Fokker-Planck equations, PHYSICA A, 301(1-4), 2001, pp. 52-62
Citations number
53
Categorie Soggetti
Physics
Journal title
PHYSICA A
ISSN journal
03784371 → ACNP
Volume
301
Issue
1-4
Year of publication
2001
Pages
52 - 62
Database
ISI
SICI code
0378-4371(200112)301:1-4<52:ALAFTM>2.0.ZU;2-2
Abstract
For stochastic processes defined by nonlinear Fokker-Planck equations a mic roscopic dynamics is proposed in terms of generalized Langevin equations. T hese Langevin equations can, for example, be used to model stochastic proce sses with mean field interactions and random walks related to the generaliz ed thermostatistics suggested by Tsallis. (C) 2001 Elsevier Science B.V. Al l rights reserved.