The metastable behavior of the three-dimensional stochastic Ising model (II)

被引:0
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作者
Dayue Chen
Jianfeng Feng
Minping Qian
机构
[1] Peking University,Department of Probability and Statistics
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关键词
stochastic Ising model; metastable state; Hamiltonian; critical droplet;
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摘要
The metastable behavior of the stochastic Ising model is studied in a finite three-dimensional torus, in the limit as the temperature goes to zero. The so-called critical droplet is determined, a clear view of the passage from the configuration that all spins are down (-1) to the configuration that all spins axe up (+1) is given and the logarithmic asymptotics of the hitting time of+1 starting at -1 orvice versa is calculated. The proof uses large deviation estimates of a family of exponentially perturbed Markov chains.
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页码:1129 / 1135
页数:6
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