|
|||||
|
|
Reversibility in Infinite Hamiltonian Systems with Conservative Noise |
|
| Authors: | József Fritz Carlangelo Liverani Stefano Olla |
| Institution: | Department of Probability and Statistics, E?tv?s Lor′nd University of Sciences, H-1088 Budapest, Múzeum krt. 6-8, Hungary. E-mail: jofri@cs.elte.hu, HU II Universitá di Roma “Tor Vergata,” Dipartimento di Matematica, 00133 Roma, Italy.?E-mail: liverani@mat.utovrm.it, IT Université de Cergy–Pontoise, Département de Mathématiques, 2 avenue Adolphe Chauvin, Pontoise 95302 Cergy--Pontoise Cedex, France and Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau Cedex, France. E-mail: olla@paris.polytechnique.fr, FR |
| Abstract: | The set of stationary measures of an infinite Hamiltonian system with noise is investigated. The model consists of particles moving in 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. Received: 26 September 1996 / Accepted: 3 January 1997 |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |