Journal of Statistical Physics

, Volume 95, Issue 1–2, pp 367–392

The Fluctuation Theorem as a Gibbs Property

  • Christian Maes
Article

DOI: 10.1023/A:1004541830999

Cite this article as:
Maes, C. Journal of Statistical Physics (1999) 95: 367. doi:10.1023/A:1004541830999

Abstract

Common ground to recent studies exploiting relations between dynamical systems and nonequilibrium statistical mechanics is, so we argue, the standard Gibbs formalism applied on the level of space-time histories. The assumptions (chaoticity principle) underlying the Gallavotti–Cohen fluctuation theorem make it possible, using symbolic dynamics, to employ the theory of one-dimensional lattice spin systems. The Kurchan and Lebowitz–Spohn analysis of this fluctuation theorem for stochastic dynamics can be restated on the level of the space-time measure which is a Gibbs measure for an interaction determined by the transition probabilities. In this note we understand the fluctuation theorem as a Gibbs property, as it follows from the very definition of Gibbs state. We give a local version of the fluctuation theorem in the Gibbsian context and we derive from this a version also for some class of spatially extended stochastic dynamics.

fluctuation theorem large deviations nonequilibrium Gibbs states 

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • Christian Maes
    • 1
    • 2
  1. 1.Instituut voor Theoretische Fysica, K.U. LeuvenLeuvenBelgium
  2. 2.Onderzoeksleider FWOFlanders

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