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Stationary states of random Hamiltonian systems
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  • Published: June 1994

Stationary states of random Hamiltonian systems

  • J. Fritz1,
  • T. Funaki2 &
  • J. L. Lebowitz3 

Probability Theory and Related Fields volume 99, pages 211–236 (1994)Cite this article

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Summary

We investigate the ergodic properties of Hamiltonian systems subjected to local random, energy conserving perturbations. We prove for some cases, e.g. anharmonic crystals with random nearest neighbor exchanges (or independent random reflections) of velocities, that all translation invariant stationary states with finite entropy per unit volume are microcanonical Gibbs states. The results can be utilized in proving hydrodynamic behavior of such systems.

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Author information

Authors and Affiliations

  1. Mathematical Institute, Hungarian Academy of Sciences, POB 127, H-1364, Budapest, Hungary

    J. Fritz

  2. Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-Ku, 464-01, Nagova, Japan

    T. Funaki

  3. Department of Mathematics and Physics, Rutgers University, Hill Center, Bush Campus, 08903, New Brunswick, NJ, USA

    J. L. Lebowitz

Authors
  1. J. Fritz
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  2. T. Funaki
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  3. J. L. Lebowitz
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Additional information

Hill Center for Mathematical Sciences, Rutgers University, New Brunswick, NJ 08903, USA

JF was supported in parts by Japan Society for Promotion of Science (JSPS) and by NSF Grant DMR89-18903

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Fritz, J., Funaki, T. & Lebowitz, J.L. Stationary states of random Hamiltonian systems. Probab. Th. Rel. Fields 99, 211–236 (1994). https://doi.org/10.1007/BF01199023

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  • Received: 22 June 1992

  • Revised: 20 December 1993

  • Issue Date: June 1994

  • DOI: https://doi.org/10.1007/BF01199023

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Mathematics Subject Classification (1991)

  • 60K35
  • 82A05
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