A procedure for obtaining general nonlinear Fokker-Planck equations
UNSPECIFIED. (2004) A procedure for obtaining general nonlinear Fokker-Planck equations. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 334 (1-2). pp. 109-118. ISSN 0378-4371Full text not available from this repository.
Official URL: http://dx.doi.org/10.1016/j.physa.2003.11.023
A procedure for deriving general nonlinear Fokker-Planck equations (FPEs) directly from the master equation is presented. The nonlinear effects are introduced in the transition probabilities, which present a dependence on the probabilities for finding the system in a given state. It is shown that the FPEs, obtained from master equations describing transitions among discrete and continuous sets of states, are identical. Within such a procedure, we construct nonlinear FPEs that appear to be very general. Our general FPEs recover, as particular cases, nonlinear FPEs investigated previously by many authors, introduced on a purely phenomenological basis, and they lead to the possibility of more complete and complex diffusive equations. (C) 2003 Elsevier B.V. All rights reserved.
|Item Type:||Journal Article|
|Subjects:||Q Science > QC Physics|
|Journal or Publication Title:||PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS|
|Publisher:||ELSEVIER SCIENCE BV|
|Date:||1 March 2004|
|Number of Pages:||10|
|Page Range:||pp. 109-118|
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