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Nonequilibrium Statistical Mechanics and Entropy Production in a Classical Infinite System of Rotators

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Abstract

We analyze the dynamics of a simple but nontrivial classical Hamiltonian system of infinitely many coupled rotators. We assume that this infinite system is driven out of thermal equilibrium either because energy is injected by an external force (Case I), or because heat flows between two thermostats at different temperatures (Case II). We discuss several possible definitions of the entropy production associated with a finite or infinite region, or with a partition of the system into a finite number of pieces. We show that these definitions satisfy the expected bounds in terms of thermostat temperatures and energy flow.

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Authors and Affiliations

  1. Mathematics Dept., Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, USA

    David Ruelle

  2. IHES, 91440, Bures sur Yvette, France

    David Ruelle

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  1. David Ruelle
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Correspondence to David Ruelle.

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Communicated by G. Gallavotti

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Ruelle, D. Nonequilibrium Statistical Mechanics and Entropy Production in a Classical Infinite System of Rotators. Commun. Math. Phys. 270, 233–265 (2007). https://doi.org/10.1007/s00220-006-0126-x

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  • DOI: https://doi.org/10.1007/s00220-006-0126-x

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