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中国物理学会期刊

n维格子上Ising模型临界温度的上界

CSTR: 32037.14.aps.38.497

THE UPPER LIMIT OF CRITICAL TEMPERATURE OF N DIMENSIONAL ISING MODEL

CSTR: 32037.14.aps.38.497
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  • 本文利用耦合的技巧,建立了Ising模型与接触过程的联系。由此给出了Ising模型临界温度的上界,即n维Ising模型的临界点βc(n)应满足 exp2βc(n)(2n-1)·(exp2βc(n)-1)≥2/2n-1。特别是三维Ising模型的临界点βc(3)>1/2ln1.17。

     

    In the present article, by using coupling technique, we establish the relation between Ising model and contact process. From this relation, the upper limit of critical temperature of higher dimensional Ising model is obtained. That is, the critical point βc(n) of n-dimensional Ising model must satisfy exp2βc(n)(2n-1)·(exp2βc(n)-1)≥2/2n-1 and especially, crirical point βc(3) of the three-dimensional Ising model must satisfy βc(3)> 1/2ln1.17.

     

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