Two-parameter entropy the Sharma−Mittal functional as core family of nonlinear Fokker−Planck−Kolmogorov equations
Abstract:
An important aspect related to the derivation of nonlinear power-law equations of Fokker–Planck–Kolmogorov correlated with the Sharma–Mittal entropy is analyzed in this work. In this case, the obtained diffusion equations are written in such a way that their stationary solutions are probability distributions that maximize the ShM entropy for non-extensive systems. The ansatz approach is used to obtain exact solutions of nonlinear nonstationary one-dimensional FPK equations associated with the Tsallis, Renyi, and Sharma–Mittal entropies.
Keywords:
principles of nonextensive statistical mechanics, Sharma-Mittal entropy, power law of distribution
Publication language:russian, pages:35
Research direction:
Mathematical modelling in actual problems of science and technics
