DILUTE RANDOM-BOND POTTS-MODEL

被引：29

作者：

SOUTHERN, BW

THORPE, MF

机构：

[1] INST MAX VON LAUE PAUL LANGEVIN,CTR TRI,F-38042 GRENOBLE,FRANCE

[2] OXFORD UNIV,DEPT THEORET PHYS,OXFORD OX1 3NP,ENGLAND

来源：

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS | 1979年 / 12卷 / 24期

关键词：

D O I：

10.1088/0022-3719/12/24/007

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

Some of the properties of the bond diluted s-state Potts model are examined in this paper, and in particular the phase boundary. It is shown that as s to 1, the model is simply related to the bond percolation problem. By extending the replica arguments of Domany (1978) (which are probably exact), it is shown that near p, the phase boundary behaves as exp(-sK)=(ln s)/(s-1)(p-pc/pc) for all 2-D lattices. The authors also construct a coherent potential approximation that is exact for all lattices as s to 1, and for arbitrary s on Bethe lattices.

引用

页码：5351 / 5360

页数：10

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