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A procedure for obtaining general nonlinear Fokker-Planck equations
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UNSPECIFIED (2004) A procedure for obtaining general nonlinear Fokker-Planck equations. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 334 (1-2). pp. 109-118. doi:10.1016/j.physa.2003.11.023 ISSN 0378-4371.
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Official URL: http://dx.doi.org/10.1016/j.physa.2003.11.023
Abstract
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 | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0378-4371 | ||||
Official Date: | 1 March 2004 | ||||
Dates: |
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Volume: | 334 | ||||
Number: | 1-2 | ||||
Number of Pages: | 10 | ||||
Page Range: | pp. 109-118 | ||||
DOI: | 10.1016/j.physa.2003.11.023 | ||||
Publication Status: | Published |
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