Superstatistics, thermodynamics, and fluctuations

Sumiyoshi Abe, Christian Beck, and Ezechiel G. D. Cohen
Phys. Rev. E 76, 031102 – Published 5 September 2007

Abstract

A thermodynamiclike formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account large-scale variations of intensive variables of systems in nonequilibrium stationary states. Ordinary thermodynamics is recovered as a special case of the present theory, and corrections to it can systematically be evaluated. A generalization of Einstein’s relation for fluctuations is presented using a maximum entropy condition.

  • Received 1 May 2007

DOI:https://doi.org/10.1103/PhysRevE.76.031102

©2007 American Physical Society

Authors & Affiliations

Sumiyoshi Abe1,2, Christian Beck3, and Ezechiel G. D. Cohen4

  • 1Department of Physical Engineering, Mie University, Tsu, Mie 514-8507, Japan
  • 2Institut Supérieur des Matériaux et Mécaniques Avancés, 44 F. A. Bartholdi, 72000 Le Mans, France
  • 3School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, United Kingdom
  • 4The Rockefeller University, 1230 York Avenue, New York, New York 10021, USA

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Issue

Vol. 76, Iss. 3 — September 2007

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