Ontology type: schema:ScholarlyArticle
2018-10
AUTHORS ABSTRACTIn 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... »
PAGES439
http://scigraph.springernature.com/pub.10.1140/epjp/i2018-12330-5
DOIhttp://dx.doi.org/10.1140/epjp/i2018-12330-5
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