Fritz Jozsef, Liverani Carlangelo, Stefano Olla
Reversibility in Infinite Hamiltonian Systems with Conservative Noise
(55K, plain tex)
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.