Stationary states of random Hamiltonian systems

J. Fritz; T. Funaki; J. L. Lebowitz

doi:10.1007/BF01199023

Stationary states of random Hamiltonian systems

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

^*この研究の対応する著者

研究成果: Article › 査読

37 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	211-236
ページ数	26
ジャーナル	Probability Theory and Related Fields
巻	99
号	2
DOI	https://doi.org/10.1007/BF01199023
出版ステータス	Published - 1994 6月
外部発表	はい

ASJC Scopus subject areas

分析
統計学および確率
統計学、確率および不確実性

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10.1007/BF01199023

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Stationary states of random Hamiltonian systems

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