Classes of N-Dimensional Nonlinear Fokker-Planck Equations Associated to Tsallis Entropy
نویسندگان
چکیده
Several previous results valid for one-dimensional nonlinear Fokker-Planck equations are generalized to N-dimensions. A general nonlinear N-dimensional FokkerPlanck equation is derived directly from a master equation, by considering nonlinearities in the transition rates. Using nonlinear Fokker-Planck equations, the H-theorem is proved; for that, an important relation involving these equations and general entropic forms is introduced. It is shown that due to this relation, classes of nonlinear N-dimensional Fokker-Planck equations are connected to a single entropic form. A particular emphasis is given to the class of equations associated to Tsallis entropy, in both cases of the standard, and generalized definitions for the internal energy.
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ورودعنوان ژورنال:
- Entropy
دوره 13 شماره
صفحات -
تاریخ انتشار 2011