Computation of the Ising partition function for two-dimensional square grids -: art. no. 046104

被引：16
|
作者：
Häggkvist, R
Rosengren, A
Andrén, D
Kundrotas, P
Lundow, PH
Markström, K
机构：
[1] Umea Univ, Dept Math, SE-90187 Umea, Sweden
[2] AlbaNova Univ Ctr, Dept Phys, KTH, SE-10691 Stockholm, Sweden
来源：
PHYSICAL REVIEW E | 2004年 / 69卷 / 04期
关键词：
D O I：
10.1103/PhysRevE.69.046104
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
An improved method for obtaining the Ising partition function of nxn square grids with periodic boundary is presented. Our method applies results from Galois theory in order to split the computation into smaller parts and at the same time avoid the use of numerics. Using this method we have computed the exact partition function for the (320x320) grid, the (256x256) grid, and the (160x160) grid, as well as for a number of smaller grids. We obtain scaling parameters and compare with what theory prescribes.
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页数：19
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