CORRELATION-FUNCTION IDENTITIES FOR GENERAL PLANAR ISING SYSTEMS

被引：21

作者：

GROENEVELD, J ^{[1
]}

BOEL, RJ ^{[1
]}

KASTELEYN, PW ^{[1
]}

机构：

[1] STATE UNIV LEIDEN,INST LORENTZ THEORET NATUURKUNDE,LEIDEN,NETHERLANDS

来源：

PHYSICA A | 1978年 / 93卷 / 1-2期

关键词：

D O I：

10.1016/0378-4371(78)90214-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A system of exact algebraic relations is derived for the spin correlation functions on any so-called boundary set" of an Ising model on an arbitrary planar graph. One way of expressing these relations is to say that every higher-order correlation function is equal to a Pfaffian of the pair correlation function on the same set of boundary spins. © 1978."

引用

页码：138 / 154

页数：17

共 25 条

[1] [Anonymous], 1937, FUND MATH
[2] BEDEAUX D, 1970, J STAT PHYS, V2, P1
[3] BIRKHOFF G, 1967, LATTICE THEORY, P181
[4] BOEL RJ, UNPUBLISHED
[5] CAIANIELLO ER, 1973, COMBINATORICS RENORM
[6] HIGHER-ORDER CORRELATIONS IN 2-DIMENSIONAL ISING-MODEL
DEKEYSER, R
ROGIERS, J
[J]. PHYSICA, 1972, 59 (01): : 23 - &
[7] ISING SPIN SYSTEM ON A CAYLEY TREE - CORRELATION DECOMPOSITION AND PHASE-TRANSITION
FALK, H
[J]. PHYSICAL REVIEW B, 1975, 12 (11): : 5184 - 5189
[8] GENERAL LATTICE MODEL OF PHASE TRANSITIONS
FAN, C
WU, FY
[J]. PHYSICAL REVIEW B, 1970, 2 (03): : 723 - &
[9] TRANSFORMATIONS OF ISING MODELS
FISHER, ME
[J]. PHYSICAL REVIEW, 1959, 113 (04): : 969 - 981
[10] Green H., 1964, ORDER DISORDER PHENO

← 1 2 3 →