Eigenvalue Problem of Metastability in Macrosystem
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概要
- 論文の詳細を見る
Stochastic master equation is transformed into a self-adjoint form by using the detailed balance condition. A Fokker-Planck equation becomes formally equivalent to a Schrodinger equation by this transformation, where the inverse of a system-size parameter corresponds to Planck's constant. For example, the decay process of a metastable state can be considered as an eigenvalue problem of multi-well potential in quantum mechanics. The decay rate corresponds to the first excited eigenvalue which almost degenerates with that of the ground state, i.e., the true equilibrium state. Calculations include the dependence on the system-size and external field. The process of approach to equilibrium distribution is analogous to the penetration or tunneling of wave-function in quantum mechanics.
- 理論物理学刊行会の論文
- 1976-09-25
著者
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Ito A
The Department Of Computer Science And Systems Engineering Faculty Of Engineering Yamaguchi Universi
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Ito Akira
Dep. Of Biochemistry And Molecular Biology Tokyo Univ. Of Pharmacy And Life Sciences School Of Pharm
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Ito Akira
Department Of Biochemistry And Molecular Biology School Of Pharmacy Tokyo University Of Pharmacy And
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Tomita Hiroyuki
Department Of Oncologic Surgery Gifu University Graduate School Of Medicine
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Kidachi Hideyuki
Department Of Physics Kyoto University
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Tomita H
Kyoto Univ. Kyoto Jpn
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TOMITA Hiroyuki
College of General Education, Kyoto University
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Tomita Hiroyuki
Department Of Applied Physics Faculty Of Engineering Hokkaido University
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KIDACHI Hideyuki
Division of Practical School Education,Osaka Kyoiku University
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TOMITA Hiroyuki
Physics Laboratory, College of General Education Kyoto University
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