When nonlinear Fokker-Planck equations yield power-law distributions?
Sumiyoshi Abe (Institute of Physics, University of Tsukuba, Ibaraki)
TL;DR
This paper investigates conditions under which nonlinear Fokker-Planck equations produce power-law distributions, contributing to understanding complex systems' statistical behaviors.
Contribution
It provides new theoretical insights into the link between nonlinear Fokker-Planck equations and power-law distributions.
Findings
Identifies specific nonlinear conditions leading to power-law solutions
Derives analytical criteria for distribution types
Enhances understanding of complex system dynamics
Abstract
This paper has been withdrawn by the author.
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Taxonomy
TopicsStatistical Mechanics and Entropy · stochastic dynamics and bifurcation · Complex Systems and Time Series Analysis