Real-Space Renormalization Group Approach to the Kinetic Ising Model
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概要
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A systematic real-space dynamic renormalization group method is proposed and it is applied to the kinetic Ising model on a triangular lattice. The coarse grained master equation is constructed by using the memory function formalism and the Markov approximation. the high temperature series renormalization group method proposed by Betts, Cuthiell and Plischke is extended for the present purpose to make a perturbation expansion in a self-consistent way with respect to all orders of interactions. Terms nonlocal in space appear in the coarse grained time-evolution operator in our approach, because of the memory effect accompanied with the coarse graining procedure. It is shown within the second order calculation that these nonlocal terms are irrelevant around the nontrivial fixed point. the values of the static exponent ν and dynamic exponent z are given by 1/ν=0.99 and z=2.23 from the present second order calculation. These results are quite reasonable.
- 理論物理学刊行会の論文
- 1982-05-25
著者
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Suzuki Masuo
Department Of Applied Physics Science University Of Tokyo
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Takano Hiroshi
Department Of Applied Physics Osaka University
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Takano Hiroshi
Department Of Physics University Of Tokyo
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TAKANO Hiroshi
Department of Physics, Osaka Unviersity
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TAKANO Hiroshi
Department of Physics, Kyusu University
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Suzuki Masuo
Physics Department, Saitama University
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