Curl forces and the nonlinear Fokker-Planck equation

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Curl forces and the nonlinear Fokker-Planck equation.

Nonlinear Fokker-Planck equations endowed with curl drift forces are investigated. The conditions under which these evolution equations admit stationary solutions, which are q exponentials of an appropriate potential function, are determined. It is proved that when these stationary solutions exist, the nonlinear Fokker-Planck equations satisfy an H theorem in terms of a free-energy-like quantit...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2016

ISSN: 2470-0045,2470-0053

DOI: 10.1103/physreve.94.062105