Critical Slowing Down in Stochastic Processes. I

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概要

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• The present series of papers clarify the physical mechanism of a critical slowing down in stochastic processes. It is classified into three categories, namely (i) deterministic, (ii) marginal and (iii) noise-induced critical slowing downs. In this paper, some general aspects of critical slowing down are studied in multiplicative stochastic processes. The value of the long-time exponent is derived on the basis of the dynamical scaling theory for general nonlinear stochastic processes as well as conditions for the appearance of the noise-induced long-time tail. some exactly soluble examples are discussed.

• 理論物理学刊行会の論文
• 1982-06-25

著者

• Takesue Shinji

  Department Of Physics Kyoto University

• Kaneko K

  Kyushu Sangyo Univ. Fukuoka Jpn

• Kaneko Kunihiko

  Department Of Basic Science Graduate School Of Arts And Science The University Of Tokyo

• Kaneko Kunihiko

  Department Of Physics University Of Tokyo

• Suzuki Masuo

  Department Of Applied Physics Tokyo University Of Science

• Suzuki Masuo

  Department Of Applied Physics Science University Of Tokyo

• KANEKO Kunihiko

  Institute of Physics, College of Arts and Sciences University of Tokyo

• KANEKO Kunihiko

  Department of Pure and Applied Sciences, University of Tokyo

• KANEKO Kazunari

  Department of Physics, Kyusyu University

• TAKESUE Shinji

  Department of Physics, Tokyo University

• Suzuki Masuo

  Physics Department, Saitama University

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