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  • Title: Families of Fokker-Planck equations and the associated entropic form for a distinct steady-state probability distribution with a known external force field.
    Author: Asgarani S.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2015 Feb; 91(2):022104. PubMed ID: 25768455.
    Abstract:
    A method of finding entropic form for a given stationary probability distribution and specified potential field is discussed, using the steady-state Fokker-Planck equation. As examples, starting with the Boltzmann and Tsallis distribution and knowing the force field, we obtain the Boltzmann-Gibbs and Tsallis entropies. Also, the associated entropy for the gamma probability distribution is found, which seems to be in the form of the gamma function. Moreover, the related Fokker-Planck equations are given for the Boltzmann, Tsallis, and gamma probability distributions.
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