CORRELATION-FUNCTION IDENTITIES FOR GENERAL PLANAR ISING SYSTEMS

被引：23

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BOEL RJ, UNPUBLISHED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 [J].

DEKEYSER, R ;

ROGIERS, J .

PHYSICA, 1972, 59 (01) :23-&

[7] ISING SPIN SYSTEM ON A CAYLEY TREE - CORRELATION DECOMPOSITION AND PHASE-TRANSITION [J].

FALK, H .

PHYSICAL REVIEW B, 1975, 12 (11) :5184-5189

[8] GENERAL LATTICE MODEL OF PHASE TRANSITIONS [J].

FAN, C ;

WU, FY .

PHYSICAL REVIEW B, 1970, 2 (03) :723-&

[9] TRANSFORMATIONS OF ISING MODELS [J].

FISHER, ME .

PHYSICAL REVIEW, 1959, 113 (04) :969-981

[10]

Green H., 1964, ORDER DISORDER PHENO

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