Critical temperature in the two-layered Ising model

Critical temperature in the two-layered Ising model
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DOI:
10.1016/s0378-4371(97)00551-7
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发表时间:
1998-02-15
期刊:
影响因子:
3.3
通讯作者:
Lipowski, A
Lipowski, A
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Lipowski, A

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利用传输矩阵平均场近似,精确计算了两层伊辛模型的临界温度。当层内相互作用相同时,我们对位移指数Phi的估计与预测Phi=Gamma的一些标度论点是一致的,其中Gamma是磁化率指数。然而,对于不相等的层内相互作用,我们的结果Phi=0.5表明标度变元预测Phi=Gamma/2是不正确的。在这种情况下,提出了一种近似抽取方案,给出了与数值计算一致的phi。(C)1998 Elsevier Science B.V.保留所有权利。
Using the transfer-matrix mean-field approximation we precisely calculate the critical temperature in the two-layered Ising model. When the intra-layer interactions are the same, our estimations of the shift exponent phi are in agreement with some scaling arguments which predict phi = gamma, where gamma is the susceptibility exponent. However, for unequal intra-layer interactions our result phi = 0.5 show that scaling arguments prediction phi = gamma/2 is incorrect. In this case an approximate decimation scheme is proposed which gives phi consistent with numerical calculations. (C) 1998 Elsevier Science B.V. All rights reserved.