Hierarchical Structure of Irreversible Processes Deduced from the Dynamical Semi-Group Theory
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概要
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Some consequences of a hierarchical structure of irreversible phenomena are discussed in this paper In particular, we examine the physical meaning of some results deduced from the semi-group theory of irreversible processes which uses two different limiting procedures, van Hove and singular coupling limits. It is shown that the information entropy deduced from the maximum entropy method is never the same as the statistical entropy defined in the dynamical semi-group theory. The difference between the two is measured in terms of the relative entropy. For an understanding of irreversibility as positive entropy production, two distinct rescalings of time turn out to be essential. These control the transition between macroscopic and microscopic levels. We show that the analysis of the motion of a system coupled to two reservoirs in the singular and van Hove limits can be performed. The two-reservoir system reflects the hierarchical structure in time of the dynamical process under study.
- 理論物理学刊行会の論文
- 1996-07-25
著者
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Ichiyanagi Masakazu
Department of Applied Physics,Osaka University
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Ichiyanagi Masakazu
Department Of Applied Physics Osaka University
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Ichiyanagi Masakazu
Department Of Applied Physics Faculty Of Engineering Osaka University
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Ichiyanagi Masakazu
Department Of Mathematical Sciences Gifu University Of Economics
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ICHIYANAGI Masakazu
Department of Mathematical Sciences, Gifu University of Economics
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