Discrete-Time and Single-Spin-Flip Dynamics of the Ising Chain : Genaral and Mathematical Physics
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概要
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Some stochastic dynamics of the Ising chain are discussed analytically and their flip-sequence dependences are studied in the present paper. The dynamics are the discrete-time and single-spin-flip dynamics. The flip sequence is of sequential or sublattice-type. Their relaxation times of single spin expectation functions are calculated. The sequential-flip dynamics of n-site chain has the same correlation time as the n-sublattice dynamics. The relaxation becomes slow when this n is made large. The static models equivalent to these dynamic models are the Ising models on a triangular lattice with a skew boundary condition which has the same couplings in two directions. Spin-spin correlation lengths in the direction perpendicular to the anisotropic direction are obtained for these equivalent models. They depend only on the ratio of the lattice width to boundary skew.
- 理論物理学刊行会の論文
- 1990-04-25
著者
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Ito Nobuyasu
Department Of Applied Physics Faculty Of Engineering The University Of Tokyo
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Ito Nobuyasu
Department Of Physics University Of Tokyo
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ITO Nobuyasu
Department of Physics, University of Tokyo
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Ito Nobuyasu
Department of applied Physics
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