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Thermodynamical Aspects of Classical Lattice Systems

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Book cover In and Out of Equilibrium

Part of the book series: Progress in Probability ((PRPR,volume 51))

Abstract

The main theme of the lectures is large deviations theory using ideas of Statistical Mechanics. A large deviations principle for empirical measures is obtained for a large class of random fields, called asymptotically decoupled measures. The connection between the existence of a large deviations principle for empirical measures and the notions of equilibrium measures and Gibbs measures is explained. As a consequence of the large deviations principle for empirical measures, I prove conditional limit theorems, extending previous results.

In a separate section, which can be read independently, I discuss the relevance of these general results for Equilibrium Statistical Mechanics of classical lattice systems; it is a short and concise introduction to Statistical Mechanics. Equilibrium Statistical Mechanics is derived from Statistical Thermodynamics and the fundamental role of Boltzmann entropy is emphasized.

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Authors and Affiliations

  1. Institut de Mathématiques, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland

    Charles-Edouard Pfister

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  1. Charles-Edouard Pfister
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Editors and Affiliations

  1. IMPA-Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110 Jardim Botânico, Rio de Janeiro, RJ 22460-320, Brazil

    Vladas Sidoravicius

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Pfister, CE. (2002). Thermodynamical Aspects of Classical Lattice Systems. In: Sidoravicius, V. (eds) In and Out of Equilibrium. Progress in Probability, vol 51. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0063-5_18

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  • DOI: https://doi.org/10.1007/978-1-4612-0063-5_18

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6595-5

  • Online ISBN: 978-1-4612-0063-5

  • eBook Packages: Springer Book Archive

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