Superstatistics for fractional systems

Abstract

The purpose of this paper is to develop a new fractional dynamical approach to superstatistics. Namely, we show that superstatistical distribution functions can be obtained from stationary solutions of the generalized Fokker-Planck equation for fractional systems by using the fractional generalization Bayes' theorem. We present specific examples of such distribution functions for fractional systems.

References in corpus (3)

• Constructing a statistical mechanics for Beck-Cohen superstatistics
• Fokker-Planck Equation for Fractional Systems
• Fokker-Planck Theory of Nonequilibrium Systems Governed by Hierarchical Dynamics

Cited by in corpus (1)

• Bayesian inference and superstatistics to describe long memory processes of financial time series