Thermodynamic Irreversibility from High-Dimensional Hamiltonian Chaos
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概要
- 論文の詳細を見る
This paper discusses the thermodynamic irreversibility realized in high-dimensional Hamiltonian systems with a time-dependent parameter. A new quantity, the irreversible information loss, is defined from the Lyapunov analysis so as to characterize the thermodynamic irreversibility. It is proved that this new quantity satisfies an inequality associated with the second law of thermodynamics. Based on the assumption that these systems possess the mixing property and certain large deviation properties in the thermodynamic limit, it is argued reasonably that the most probable value of the irreversible information loss is equal to the change of the Boltzmann entropy in statistical mechanics, and that it is always a non-negative value. The consistency of our argument is confirmed by numerical experiments with the aid of the definition of a quantity we refer to as the excess information loss.
- 理論物理学刊行会の論文
- 2000-01-25
著者
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KOMATSU Teruhisa
Department of Applied Physics, The University of Tokyo
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SASA Shin-ichi
Department of Pure and Applied Sciences, The University of Tokyo
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Sasa Shin-ichi
Department Of Pure And Applied Sciences University Of Tokyo
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Sasa S
Department Of Pure And Applied Sciences University Of Tokyo
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Sasa S
Department Of Physics Kyoto University
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Sasa Shin-ichi
Department Of Physics Kyoto University
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Komatsu Teruhisa
Department Of Applied Physics The University Of Tokyo
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Komatsu T
Department Of Pure And Applied Sciences University Of Tokyo
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SASA Shinichi
Department of Pure and Applied Science,University of Tokyo
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Komatsu Teruhisa
Research Institute Of Electrical Communication Tohoku University
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S.Komatsu Teruhisa
Department of Pure and Applied Sciences, University of Tokyo
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KOMATSU Teruhisa
Department of Pure and Applied Sciences, University of Tokyo
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