Slow Relaxation at Critical Point of Second Order Phase Transition in a Highly Chaotic Hamiltonian System
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概要
- 論文の詳細を見る
Temporal evolution toward thermal equilibria is numerically investigated in a Hamiltonian system with many degrees of freedom thich exhibits a second order phase transition. Relaxation processes are studied through a local order parameter, and slow relaxations of the power type are observed at the critical energy of the phase transition for some initial conditions. Numerical results are compared with results of a phenomenological theory of statistical mechanics. At the critical energy, the maximum Lyapunov exponent assumes a maximal value. Temporal evolution and probability distributions of local Lyapunov exponents indicate tha the system is highly chaotic rather than weakly chaotic at the critical energy. Consequently theories for perturbed systems may not be applicable at the critical energy for the purpose of explaining the slow relaxation of the power type.
- 理論物理学刊行会の論文
- 1996-04-25
著者
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Yamaguchi Yoshiyuki
Department Of Applied Mathematics And Physics Kyoto University
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YAMAGUCHI Yoshiyuki
The General Research Organization of Science and Engineering Ritsumeikan University
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Yamaguchi Yoshiyuki
Department Of Physics Nagoya University
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