The Ising Susceptibility Scaling Function

被引：31

作者：

Chan, Y. ^{[2
]}

Guttmann, A. J. ^{[2
]}

Nickel, B. G. ^{[3
]}

Perk, J. H. H. ^{[1
,4
,5
]}

机构：

[1] Oklahoma State Univ, Dept Phys, Stillwater, OK 74078 USA

[2] Univ Melbourne, Dept Math & Stat, Parkville, Vic 3052, Australia

[3] Univ Guelph, Dept Phys, Guelph, ON N1G 2W1, Canada

[4] Australian Natl Univ, Dept Theoret Phys RSPE, Canberra, ACT 2600, Australia

[5] Australian Natl Univ, Ctr Math & Its Applicat CMA, Canberra, ACT 2600, Australia

来源：

JOURNAL OF STATISTICAL PHYSICS | 2011年 / 145卷 / 03期

基金：

澳大利亚研究理事会; 美国国家科学基金会;

关键词：

Ising model; Susceptibility; Triangular lattice; Honeycomb lattice; Series expansion; Corrections to scaling; LOW-TEMPERATURE EXPANSIONS; DIFFERENCE-EQUATIONS; MODEL; UNIVERSALITY; DERIVATION; AMPLITUDES;

D O I：

10.1007/s10955-011-0212-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We have dramatically extended the zero field susceptibility series at both high and low temperature of the Ising model on the triangular and honeycomb lattices, and used these data and newly available further terms for the square lattice to calculate a number of terms in the scaling function expansion around both the ferromagnetic and, for the square and honeycomb lattices, the antiferromagnetic critical point.

引用

页码：549 / 590

页数：42

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