Generalized Fokker-Planck equations and effective thermodynamics

Details Generalized Fokker-Planck equations and effective thermodynamics Generalized Fokker-Planck equations and effective thermodynamics

2005-04-27

arxiv.org/abs/cond-mat/0504716v1

Physica A, 340, 57 (2004)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physa.2004.03.077

We introduce a new class of Fokker-Planck equations associated with an effective generalized thermodynamical framework. These equations describe a gas of Langevin particles in interaction. The free energy can take various forms which can account for anomalous diffusion, quantum statistics, lattice models... When the potential of interaction is long-ranged, these equations display a rich structure associated with canonical phase transitions and blow-up phenomena. In the limit of short-range interactions, they reduce to Cahn-Hilliard equations.

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