97-14 Fritz Jozsef, Liverani Carlangelo, Stefano Olla

Reversibility in Infinite Hamiltonian Systems with Conservative Noise (55K, plain tex) Jan 10, 97

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Abstract. The stationary measure of an infinite Hamiltonian system with noise is investigated. The model consists of particles moving in $R^3$ with bounded velocities and subject to a noise that does not violate the classical conservation laws. We assume that the noise has a finite range of interaction, and prove that translation invariant stationary states of finite specific entropy are reversible with respect to the stochastic component of the evolution. Therefore implying that such invariant measure are superpositions of Gibbs states.

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