Stationary states of random Hamiltonian systems |
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| Authors: | J. Fritz T. Funaki J. L. Lebowitz |
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| Affiliation: | (1) Mathematical Institute, Hungarian Academy of Sciences, POB 127, H-1364 Budapest, Hungary;(2) Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-Ku, 464-01 Nagova, Japan;(3) Department of Mathematics and Physics, Rutgers University, Hill Center, Bush Campus, 08903 New Brunswick, NJ, USA |
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| Abstract: | ![]()
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.Hill Center for Mathematical Sciences, Rutgers University, New Brunswick, NJ 08903, USAJF was supported in parts by Japan Society for Promotion of Science (JSPS) and by NSF Grant DMR89-18903 |
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| Keywords: | 60K35 82A05 |
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