Nonlinear Dynamics of First Order Phase Transition : Hysteresis, Metastability and Anomalous Fluctuations

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概要

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• Nonlinear dynamics of the first order phase transition is investigated by using a kinetic mean-spherical model of spin-non-conserving type. A sum-rule condition for spin correlation functions brings in the nonlinear couplings between the long-range-order and fluctuations. The model serves as a simple approximation for the TDGL system. Unstable, far-from-equilibrium states are prepared by sudden changes of the external field and/or the temperature. The relaxation process starting with these states is composed of two stages, i.e., a rapid relaxation to the metastable state, which depends on the initial state and a slow relaxation to the true equilibrium state. The time scales of these two processes are well separated if the external field is sufficiently weak. During the process of relaxation there occurs a transient, anomalous increase of the fluctuation in the small wavenumber range. This is the reason why the simple molecular field theory cannot be applied to these nonlinear problems.

• 理論物理学刊行会の論文
• 1978-09-25

著者

• Tomita H

  Kyoto Univ. Kyoto Jpn

• MURAKAMI Chikara

  Tokyo Metropolitan Institute of Technology

• Murakami Chikara

  Department Of Chemistry University Of Tsukuba

• TOMITA Hiroyuki

  College of General Education, Kyoto University

• Tomita Hiroyuki

  School Of Liberal Arts And Sciences Kyoto University

• TOMITA Hiroyuki

  Physics Laboratory, College of General Education Kyoto University

• MURAKAMI Chikara

  Department of Physics, University of Kyoto

• TOMITA Hiroyuki

  School of Liberal Arts and Sciences, Kyoto University

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