Nonlinearity in cooperative systems-dynamical Bethe-Ising model |
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Authors: | Yukio Saito Ryogo Kubo |
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Institution: | (1) Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, Japan |
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Abstract: | The dynamics of the short-range order as well as the long-range order in the nonlinear cooperative system is investigated specifically for a kinetic Ising model in the Bethe approximation. The phenomena of critical slowing down near the transition temperatureT
c
and anomalous fluctuation belowT
c
are directly related to the instability of the long-range order. The dynamics of the short-range order is essentially a fast mode and is noncritical. However, through the nonlinear coupling the short-range order is also influenced by the critical behavior of the long-range order. |
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Keywords: | Kinetic Ising model quasi-chemical approximation critical slowing down anomalous fluctuations far from equilibrium coupling between order parameters |
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