Ising Model on an Infinite Ladder Lattice |
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Authors: | GAO Xing-Ru YANG Zhan-Ru |
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Institution: | 1. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China
;2. Department of Physics and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China
;3. Fundamental Teaching Department, Beijing Union University,
Beijing 100101, China |
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Abstract: | In this paper we propose an Ising model on an infinite ladder lattice, which is made of two infinite Ising spin chains with interactions. It is essentially a quasi-one-dimessional Ising model because the length of the ladder lattice is infinite, while its width is finite. We investigate the phase transition and dynamic behavior of Ising model on this quasi-one-dimessional system. We use the generalized transfer matrix method to investigate the phase transition of the system. It is found that there is no nonzero temperature phase transition in this system. At the same time, we are interested in Glauber dynamics. Based on that, we obtain the time evolution of the local spin magnetization by exactly solving a set of master equations. |
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Keywords: | Ising model general transfer matrix phase transition Glauber dynamics critical slow down |
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