Stationary states of random Hamiltonian systems

J. Fritz*, T. Funaki, J. L. Lebowitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)211-236
Number of pages26
JournalProbability Theory and Related Fields
Issue number2
Publication statusPublished - 1994 Jun
Externally publishedYes


  • Mathematics Subject Classification (1991): 60K35, 82A05

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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