| n维格子上Ising模型临界温度的上界 |
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| 引用本文： | 栾长福. n维格子上Ising模型临界温度的上界[J]. 物理学报, 1989, 38(3): 497-501 |
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| 作者姓名： | 栾长福 |
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| 作者单位： | 中山大学数学系 |
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| 摘 要： | 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 exp{2βc(n)(2n-1)}·(exp{2βc(n)}-1)≥2/2n-1。特别是三维Ising模型的临界点βc(3)>1/2ln1.17。关键词：
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| 关 键 词： | Ising模型 临界温度 铁磁相变 |
| 收稿时间： | 1988-04-26 |
THE UPPER LIMIT OF CRITICAL TEMPERATURE OF N DIMENSIONAL ISING MODEL |
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| LUAN CHANG-FU. THE UPPER LIMIT OF CRITICAL TEMPERATURE OF N DIMENSIONAL ISING MODEL[J]. Acta Physica Sinica, 1989, 38(3): 497-501 |
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| Authors: | LUAN CHANG-FU |
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| Abstract: | 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 exp{2βc(n)(2n-1)}·(exp{2βc(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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