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 |
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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 | |
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