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The metastable behavior of the three-dimensional stochastic Ising model I

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Abstract

The metastable behavior of the stochastic Ising model in a finite three-dimensional torus is studied in the limit as the temperature goes to zero. All metastable states are characterized and a hierarchic structure is found. For a large class of initial states, the logarithmic asymptotics of the hitting time of the states are studied with all spins +l or − 1.

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Authors and Affiliations

  1. Department of Probability and Statistics, Peking University, 100871, Beijing, China

    Dayue Chen, Jianfeng Feng & Minping Qian

Authors
  1. Dayue Chen
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  2. Jianfeng Feng
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  3. Minping Qian
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Project supported in part by the State Education Commission of China, the National Natural Science Foundation of China, the Tianyuan Foundation and the National 863 Project.

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Chen, D., Feng, J. & Qian, M. The metastable behavior of the three-dimensional stochastic Ising model I. Sci. China Ser. A-Math. 40, 832–842 (1997). https://doi.org/10.1007/BF02878923

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  • DOI: https://doi.org/10.1007/BF02878923

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