Critical Slowing Down in Random Growing-Rate Models with General Two Level Markov Noise

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概要

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• A general two level Markov noise I_g(t) which is a non-trivial generalization of the symmetric two level Markov noise is proposed. The random growing-rate model (d/dt)x(t)=(λ+I_g(t))x-gx^m with the general two level Markov noise is solved exactly. The long-time behaviour of the bounded physical quantity <Q(x(t))>~t^<-1/2> at the critical point λ=0 is obtained. This long-time behaviour at the critical point exemplifies Suzuki's universality of the long-time exponent of the random growing-rate model. The intuitive explanation of this long-time tail is discussed in detail.

• 理論物理学刊行会の論文
• 1983-03-25

著者

• Sasagawa Fumiyoshi

  Department Of Physics Faculty Of Science Chiba University:department Of Physics Faculty Of Science T

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