Nonequilibrium statistical mechanics and entropy production in a classical infinite system of rotators

Details Nonequilibrium statistical mechanics and entropy production in a classical infinite system of rotators Nonequilibrium statistical mechanics and entropy production in a classical infinite system of rotators

2006-03-28

arxiv.org/abs/cond-mat/0603760v1

Physics

Condensed Matter

Statistical Mechanics

36 pages

Scientific paper

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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