Generalized statistical mechanics for superstatistical systems

Author:

Beck Christian1

Affiliation:

1. School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, UK

Abstract

Mesoscopic systems in a slowly fluctuating environment are often well described by superstatistical models. We develop a generalized statistical mechanics formalism for superstatistical systems, by mapping the superstatistical complex system onto a system of ordinary statistical mechanics with modified energy levels. We also briefly review recent examples of applications of the superstatistics concept for three very different subject areas, namely train delay statistics, turbulent tracer dynamics and cancer survival statistics.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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