IMPROVED MEAN-FIELD TRANSFER MATRIX MODEL FOR HYPERCUBIC ISING SYSTEMS

被引:1
作者
Kaya, Tuncer [1 ]
机构
[1] Yildiz Tekn Univ, Dept Phys, TR-34210 Istanbul, Davutpasa, Turkey
来源
MODERN PHYSICS LETTERS B | 2012年 / 26卷 / 17期
关键词
Classical statistical mechanics; classical spin models; lattice theory and statistics; RENORMALIZATION-GROUP; CRITICAL-BEHAVIOR; FERROMAGNET; STATISTICS;
D O I
10.1142/S0217984912501114
中图分类号
O59 [应用物理学];
学科分类号
摘要
A mean-field method for Ising systems is introduced generalizing the reduced transfer matrix method introduced by Kaya and Arik. The important assumption of the method is that the neighboring spins of a central spin can be replaced by the average magnetization h <sigma > of the system. The approximation is same as the previously introduced method. However, the derivative of average magnetization with respect to external magnetic field is defined without further approximation. In addition, the previously introduced model is extended to all hypercubic lattices. The critical coupling strength K-c for hypercubic lattices is evaluated self-consistently. Obviously, this assumption leads to some significant deviation from the exact treatment. However, the model introduced here is an improvement on most self-consistent mean-field-type approximations.
引用
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页数:7
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