STRUCTURE OF THE PERTURBATION EXPANSION IN A SIMPLE QUENCHED SYSTEM

被引：39

作者：

MCKANE, AJ

机构：

[1] Department of Theoretical Physics, University of Manchester

来源：

PHYSICAL REVIEW B | 1994年 / 49卷 / 17期

关键词：

D O I：

10.1103/PhysRevB.49.12003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We investigate the nature of the perturbation expansion of the free energy iii one of the simplest models of a system with quenched disorder: a randomly diluted magnet in zero dimensions. We show that the fact that the series is non-Borel-summable is a direct consequence of the existence of Griffiths-like singularities. The implications of this result for more realistic systems are discussed.

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页码：12003 / 12009

页数：7

相关论文

共 12 条

[1] SUMMABILITY OF PERTURBATION EXPANSIONS IN DISORDERED-SYSTEMS - RESULTS FOR A TOY MODEL [J].

BRAY, AJ ;

MCCARTHY, T ;

MOORE, MA ;

REGER, JD ;

YOUNG, AP .

PHYSICAL REVIEW B, 1987, 36 (04) :2212-2219

[2] A NOTE ON THE PERTURBATION EXPANSION IN THE PERCOLATION PROBLEM [J].

BREZIN, E ;

MCKANE, AJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (08) :2235-2237

[3] FIELD THEORETIC APPROACH TO THE STUDY OF YANG-LEE AND GRIFFITHS SINGULARITIES IN THE RANDOMLY DILUTED ISING-MODEL [J].

CARDY, JL ;

MCKANE, AJ .

NUCLEAR PHYSICS B, 1985, 257 (03) :383-396

[4]

Erdelyi A., 1953, HIGHER TRANSCENDENTA, VII

[5] RANDOM-CLUSTER MODEL .1. INTRODUCTION AND RELATION TO OTHER MODELS [J].

FORTUIN, CM ;

KASTELEYN, PW .

PHYSICA, 1972, 57 (04) :536-+

[6] NONANALYTIC BEHAVIOR ABOVE CRITICAL POINT IN A RANDOM ISING FERROMAGNET [J].

GRIFFITHS, RB .

PHYSICAL REVIEW LETTERS, 1969, 23 (01) :17-+

[7] APPLICATION OF RENORMALIZATION GROUP TO PHASE-TRANSITIONS IN DISORDERED SYSTEMS [J].

GRINSTEIN, G ;

LUTHER, A .

PHYSICAL REVIEW B, 1976, 13 (03) :1329-1343

[8]

LUBENSKY TC, 1979, ILL CONDENSED MATTER

[9] ASYMPTOTIC-BEHAVIOR OF THE PERTURBATION EXPANSION IN N = 0 FIELD-THEORIES [J].

MCKANE, AJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (03) :453-475

[10]

Watson GN., 1944, TREATISE THEORY BESS, V2