REVERSIBILITY IN INFINITE HAMILTONIAN SYSTEMS WITH CONSERVATIVE NOISE
                                   by
         Jozsef Fritz, Carlangelo Liverani and  Stefano Olla
         
ABSTRACT:
 The set of stationary measures of an infinite
 Hamiltonian system with noise is investigated. The model consists of
 particles moving in $\RR^3$ with bounded velocities and subject to a
 noise that does not
 violate the classical laws of conservation,  see  [OVY]. Following
 [LO] we assume that the noise has also a finite radius 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 the results of { [LO]} imply
 that such invariant measures are superpositions of Gibbs states.                                 

PUBLISHED IN:
Communication in Mathematical Physics, 189, 2, pp. 481--496, (1997).