Graphical representations for Ising systems in external fields

被引：24

作者：

Chayes, L ^{[1
]}

Machta, J

Redner, O

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[2] Univ Massachusetts, Dept Phys & Astron, Amherst, MA 01003 USA

[3] Univ Tubingen, Inst Theoret Phys, D-72076 Tubingen, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 1998年 / 93卷 / 1-2期

关键词：

cluster methods; external fields; RFIM;

D O I：

10.1023/B:JOSS.0000026726.43558.80

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A graphical representation based on duplication is developed that is suitable for the study of Ising systems in external fields. Two independent replicas of the Ising system in the same field are treated as a single four-state (Ashkin-Teller) model. Bonds in the graphical representation connect the Ashkin-Teller spins. For ferromagnetic systems it is proved that ordering is characterized by percolation in this representation. The representation leads immediately to cluster algorithms; some applications along these lines are discussed.

引用

页码：17 / 32

页数：16

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