High-temperature expansions of the higher susceptibilities for the Ising model in general dimension d

被引：11

作者：

Butera, P. ^{[1
,2
]}

Pernici, M. ^{[3
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Fis, I-20126 Milan, Italy

[2] Ist Nazl Fis Nucl Sez Milano Bicocca, I-20126 Milan, Italy

[3] Ist Nazl Fis Nucl Sez Milano, I-20133 Milan, Italy

来源：

PHYSICAL REVIEW E | 2012年 / 86卷 / 01期

关键词：

SIZE-SCALING RELATIONS; VECTOR SPIN MODELS; CRITICAL EXPONENTS; BINDER PARAMETER; SERIES; AMPLITUDES; LATTICES; HEAT;

D O I：

10.1103/PhysRevE.86.011139

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：

The high-temperature expansion coefficients of the ordinary and the higher susceptibilities of the spin-1/2 nearest-neighbor Ising model are calculated exactly up to the 20th order for the general d-dimensional (hyper)simple-cubical lattices. These series are analyzed to study the dependence of critical parameters on the lattice dimensionality. Using the general d expression of the ordinary susceptibility, we have more than doubled the length of the existing series expansion of the critical temperature in powers of 1/d.

引用

页数：7

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