Thermal Fluctuation of a Self-Oscillating Reaction System Entrained by a Periodic External Force
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概要
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The thermal fluctuation of a self-oscillating system entrained by a periodic external force is studied by means of the system size expansion method with the aid of the reductive perturbation approach. Three main results are obtained, i.e., (i) the suppression of the ensemble dephasing or phase diffusion of a free limit cycle by a periodic force (ii) the critical anomaly of the fluctuations at the instability points of the entrained system (iii) the existence of the stroboscopic circulation of fluctuation which is defined analogously to the irreversible circulation of fluctuation and plays the central role in characterizing the' instabilities of the entrained system. These results do not depend on particular models although the Sel'kov-Higgins model for the glycolytic reaction is used in the present work.
- 理論物理学刊行会の論文
- 1979-03-25
著者
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TOMITA Kazuhisa
Department fo Physics, Faculty of Science, Kyoto University
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DAIDO Hiroaki
Department of Physics, Kyoto University
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Daido Hiroaki
Department Of Mathematical Sciences Graduate School Of Engineering University Of Osaka Prefecture
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Daido Hiroaki
Research Institute For Fundamental Physics Kyoto University
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DAIDO Hiroaki
Research Institute for Fuudamental Physics, Kyoto University
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