Low-temperature series for the square lattice Potts model using the improved finite-lattice method

被引:7
作者
Arisue, H [1 ]
Tabata, K [1 ]
机构
[1] OSAKA INST TECHNOL, JR COLL, ASAHI KU, OSAKA 535, JAPAN
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 10期
关键词
D O I
10.1088/0305-4470/30/10/011
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The low-temperature series are calculated for the free energy, magnetization and susceptibility in the e-state Potts model on the square lattice, using the improved algorithm of the finite lattice method. The series are obtained to the order of z(41) for each of Q = 5-50, and the result of their Pade-type analysis is compared with those of the large-Q expansion and the Monte Carlo simulations.
引用
收藏
页码:3313 / 3327
页数:15
相关论文
共 31 条
[1]   LOW-TEMPERATURE EXPANSION OF THE FREE-ENERGY IN THE ASOS MODEL [J].
ARISUE, H .
NUCLEAR PHYSICS B, 1995, 446 (03) :373-386
[2]   NEW CLUSTER-EXPANSION METHOD IN LATTICE GAUGE-THEORY [J].
ARISUE, H ;
FUJIWARA, T .
PROGRESS OF THEORETICAL PHYSICS, 1984, 72 (06) :1176-1196
[3]   STRONG-COUPLING SERIES OF STRING TENSION AND MASS GAP IN LATTICE GAUGE-THEORY [J].
ARISUE, H .
NUCLEAR PHYSICS B, 1994, :240-242
[4]  
ARISUE H, 1985, RIFP588
[5]   MAGNETIZATION DISCONTINUITY OF THE TWO-DIMENSIONAL POTTS-MODEL [J].
BAXTER, RJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (10) :3329-3340
[6]   POTTS MODEL AT CRITICAL-TEMPERATURE [J].
BAXTER, RJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (23) :L445-L448
[7]   LOW-TEMPERATURE EXPANSIONS FOR POTTS MODELS [J].
BHANOT, G ;
CREUTZ, M ;
GLASSNER, U ;
HORVATH, I ;
LACKI, J ;
SCHILLING, K ;
WECKEL, J .
PHYSICAL REVIEW B, 1993, 48 (09) :6183-6191
[8]   A NUMERICAL-METHOD TO COMPUTE EXACTLY THE PARTITION-FUNCTION WITH APPLICATION TO Z(N) THEORIES IN 2 DIMENSIONS [J].
BHANOT, G .
JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (1-2) :55-75
[9]  
BHATTACHARYA T, 1996, SPHT96001
[10]   A NUMERICAL STUDY OF FINITE-SIZE SCALING FOR 1ST-ORDER PHASE-TRANSITIONS [J].
BILLOIRE, A ;
LACAZE, R ;
MOREL, A .
NUCLEAR PHYSICS B, 1992, 370 (03) :773-796