Skip to main content
SpringerLink
Log in

Reversibility in Infinite Hamiltonian Systems with Conservative Noise

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Probability and Statistics, Eötvös Lor´nd University of Sciences, H-1088 Budapest, Múzeum krt. 6-8, Hungary. E-mail: jofri@cs.elte.hu, , , , , , HU

    József Fritz

  2. II Universitá di Roma “Tor Vergata,” Dipartimento di Matematica, 00133 Roma, Italy.¶E-mail: liverani@mat.utovrm.it, , , , , , IT

    Carlangelo Liverani

  3. 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

    Stefano Olla

Authors
  1. József Fritz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Carlangelo Liverani
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Stefano Olla
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 26 September 1996 / Accepted: 3 January 1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fritz, J., Liverani, C. & Olla, S. Reversibility in Infinite Hamiltonian Systems with Conservative Noise . Comm Math Phys 189, 481–496 (1997). https://doi.org/10.1007/s002200050212

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050212

Keywords

Search

Navigation