Susceptibility amplitudes for the three- and four-state Potts models

被引：18

作者：

Enting, IG ^{[1
]}

Guttmann, AJ

机构：

[1] Univ Melbourne, Dept Math & Stat, Melbourne, Vic 3010, Australia

[2] CSIRO, Div Atmospher Res, Mordialloc, Vic 3195, Australia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2003年 / 321卷 / 1-2期

关键词：

Potts model; susceptibility amplitudes; series expansions;

D O I：

10.1016/S0378-4371(02)01790-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The finite lattice method of series expansions is used to calculate a number of extended series for susceptibilities of the three- and four-state Potts models on the square lattice, We analyse all these series and estimate their critical amplitudes. We resolve an uncertainty in amplitude ratios for high- to low-temperature susceptibilities. and thus provide confirmation of field-theoretic predictions. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：90 / 107

页数：18

共 33 条

[1] Large-q expansion of the specific heat for the two-dimensional q-state Potts model [J].

Arisue, H ;

Tabata, K .

PHYSICAL REVIEW E, 1999, 59 (01) :186-188

[2]

ARISUE H, 1993, NUCL PHYS B S, V47, P739

[3] SERIES EXPANSIONS FROM CORNER TRANSFER MATRICES - SQUARE LATTICE ISING-MODEL [J].

BAXTER, RJ ;

ENTING, IG .

JOURNAL OF STATISTICAL PHYSICS, 1979, 21 (02) :103-123

[4] CRITICAL PROPERTIES OF TWO-DIMENSIONAL MODELS [J].

BLACK, JL ;

EMERY, VJ .

PHYSICAL REVIEW B, 1981, 23 (01) :429-432

[5] SERIES STUDIES OF THE POTTS-MODEL .2. BULK SERIES FOR THE SQUARE LATTICE [J].

BRIGGS, KM ;

ENTING, IG ;

GUTTMANN, AJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (05) :1503-1523

[6] Universal amplitude ratios in the 2D four-state Potts model [J].

Caselle, M ;

Tateo, R ;

Vinti, S .

NUCLEAR PHYSICS B, 1999, 562 (03) :549-566

[7] INTEGRABLE FIELD-THEORY OF THE Q-STATE POTTS-MODEL WITH 0-LESS-THAN-Q-LESS-THAN-4 [J].

CHIM, L ;

ZAMOLODCHIKOV, A .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (21) :5317-5335

[8] SERIES EXPANSIONS FROM FINITE LATTICE METHOD [J].

NEEF, TD ;

ENTING, IG .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1977, 10 (05) :801-805

[9]

De Neef T., 1975, THESIS EINDHOVEN

[10] Universal amplitude ratios in the two-dimensional q-state Potts model and percolation from quantum field theory [J].

Delfino, G ;

Cardy, JL .

NUCLEAR PHYSICS B, 1998, 519 (03) :551-578

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