General nonlinear Fokker-Planck equations with multiple potentials: H-theorem and constraints View Full Text


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Article Info

DATE

2018-10

AUTHORS

Takuya Yamano

ABSTRACT

In one of the most general possible forms of nonlinear Fokker-Planck equations in one-dimensional space, we consider systems under multiple external potentials with a single diffusion term. We prove the associated H-theorem: that is, the free-energy functional decreases in time under a suitable condition, which relates the entropic form and the two nonlinear functionals in the equations. We consider the constraint on the entropic form and provide a constraint on the functional contained in the diffusion term. Moreover, we see that the gauge field associated with this type of general nonlinear Fokker-Planck equations represents an indicator for fluctuations of the probability flux velocity. More... »

PAGES

439

Journal

TITLE

The European Physical Journal Plus

ISSUE

10

VOLUME

133

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1140/epjp/i2018-12330-5

DOI

http://dx.doi.org/10.1140/epjp/i2018-12330-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1107993935


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