title: Families of Fokker-Planck equations and the associated entropic form for a distinct steady-state probability distribution with a known external force field.
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.
authors.affiliation: Department of Physics, Payame Noor University, PO Box 19395-3697, Tehran, Iran.
authors.forename: Somayeh
authors.initials: S
authors.lastname: Asgarani