Stationary states of random Hamiltonian systems

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

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

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 (US)
Pages (from-to)211-236
Number of pages26
JournalProbability Theory and Related Fields
Volume99
Issue number2
DOIs
StatePublished - Jun 1 1994

Fingerprint

Random Systems
Stationary States
Hamiltonian Systems
Gibbs States
Hydrodynamics
Nearest Neighbor
Crystal
Entropy
Perturbation
Unit
Invariant
Energy

All Science Journal Classification (ASJC) codes

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

Keywords

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

Cite this

Fritz, J. ; Funaki, T. ; Lebowitz, J. L. / Stationary states of random Hamiltonian systems. In: Probability Theory and Related Fields. 1994 ; Vol. 99, No. 2. pp. 211-236.
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Stationary states of random Hamiltonian systems. / Fritz, J.; Funaki, T.; Lebowitz, J. L.

In: Probability Theory and Related Fields, Vol. 99, No. 2, 01.06.1994, p. 211-236.

Research output: Contribution to journalArticle

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