FINITE-SIZE SCALING FOR 1ST-ORDER PHASE-TRANSITIONS (RIGOROUS RESULTS)

被引：5

作者：

BORGS, C

KOTECKY, R

机构：

[1] CHARLES UNIV 5, DEPT THEORET PHYS, PRAGUE 8, CZECHOSLOVAKIA

[2] CHARLES UNIV, CTR THEORET STUDY, PRAGUE 3, CZECHOSLOVAKIA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1993年 / 194卷 / 1-4期

关键词：

D O I：

10.1016/0378-4371(93)90347-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recent rigorous results on finite size effects for lattice models are reviewed. We consider symmetric and asymmetric first-order phase transitions in cubic and cylindrical geometries and discuss the determination of transition points from finite size data.

引用

收藏

页码：128 / 136

页数：9

相关论文

共 30 条

[1]

Barber M. N., 1983, PHASE TRANSITIONS CR, V8, P145

[2]

BERG BA, IN PRESS PROPERTIES

[3] FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].

BINDER, K .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140

[4] FINITE-SIZE SCALING AT 1ST-ORDER PHASE-TRANSITIONS [J].

BINDER, K ;

LANDAU, DP .

PHYSICAL REVIEW B, 1984, 30 (03) :1477-1485

[5] CRITICAL-BEHAVIOR OF THE TWO-DIMENSIONAL POTTS-MODEL WITH A CONTINUOUS NUMBER OF STATES - A FINITE SIZE SCALING ANALYSIS [J].

BLOTE, HWJ ;

NIGHTINGALE, MP .

PHYSICA A, 1982, 112 (03) :405-465

[6] A RIGOROUS THEORY OF FINITE-SIZE SCALING AT 1ST-ORDER PHASE-TRANSITIONS [J].

BORGS, C ;

KOTECKY, R .

JOURNAL OF STATISTICAL PHYSICS, 1990, 61 (1-2) :79-119

[7] FINITE-SIZE EFFECTS AT ASYMMETRIC 1ST-ORDER PHASE-TRANSITIONS [J].

BORGS, C ;

KOTECKY, R .

PHYSICAL REVIEW LETTERS, 1992, 68 (11) :1734-1737

[8] A UNIFIED APPROACH TO PHASE-DIAGRAMS IN FIELD-THEORY AND STATISTICAL-MECHANICS [J].

BORGS, C ;

IMBRIE, JZ .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 123 (02) :305-328

[9] FINITE-SIZE SCALING FOR POTTS MODELS [J].

BORGS, C ;

KOTECKY, R ;

MIRACLESOLE, S .

JOURNAL OF STATISTICAL PHYSICS, 1991, 62 (3-4) :529-551

[10] FINITE-SIZE SCALING FOR POTTS MODELS IN LONG CYLINDERS [J].

BORGS, C .

NUCLEAR PHYSICS B, 1992, 384 (03) :605-645