Finite size scaling by using scaling functions in two-dimensional q=2 and 7 state Potts models

被引：3
作者：
Demirtürk, S [1 ]
Seferoglu, N
Aydin, M
Gündüç, Y
机构：
[1] Hacettepe Univ, Dept Phys, TR-06532 Ankara, Turkey
[2] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2001年 / 12卷 / 03期
关键词：
phase transition; Potts model; finite size scaling; Monte Carlo simulation;
D O I：
10.1142/S0129183101001808
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The scaling behaviors of the percolation cumulant and the surface renormalization are studied on q = 2 and 7 state Potts models. The results show that the scaling functions can be safely used to determine infinite lattice transition points and the thermal and magnetic exponents indicating that these functions have very small correction to scaling contributions.
引用
收藏
页码：403 / 412
页数：10
相关论文
共 14 条
[1]  
Barber M.N., 1983, PHASE TRANSITIONS CR, V8, P146
[2]   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
[3]   FINITE-SIZE SCALING FOR POTTS MODELS [J].
BORGS, C ;
KOTECKY, R ;
MIRACLESOLE, S .
JOURNAL OF STATISTICAL PHYSICS, 1991, 62 (3-4) :529-551
[4]   CLUSTERS AND ISING CRITICAL DROPLETS - A RENORMALIZATION GROUP-APPROACH [J].
CONIGLIO, A ;
KLEIN, W .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (08) :2775-2780
[5]   FINITE-SIZE-SCALING FOR FIRST-ORDER TRANSITIONS - POTTS-MODEL [J].
DEOLIVEIRA, PMC ;
DEOLIVEIRA, SMM ;
CORDEIRO, CE ;
STAUFFER, D .
JOURNAL OF STATISTICAL PHYSICS, 1995, 80 (5-6) :1433-1442
[6]   RG BASED ONLY ON FINITE-SIZE-SCALING [J].
DEOLIVEIRA, PMC .
PHYSICA A, 1994, 205 (1-3) :101-107
[7]   FINITE-SIZE SCALING RENORMALIZATION-GROUP [J].
DEOLIVEIRA, PMC .
EUROPHYSICS LETTERS, 1992, 20 (07) :621-626
[8]   FINITE-SIZE-SCALING RG - DETAILED DESCRIPTION AND APPLICATIONS TO DILUTED ISING SYSTEMS [J].
NETO, JMD ;
DEOLIVEIRA, SMM ;
DEOLIVEIRA, PMC .
PHYSICA A, 1994, 206 (3-4) :463-478
[9]   Scaling of cluster fluctuations in two-dimensional q=5 and 7 state Potts models [J].
Ortakaya, B ;
Gunduc, Y ;
Aydin, M ;
Celik, T .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1997, 242 (1-2) :309-314
[10]   SOME GENERALIZED ORDER-DISORDER TRANSFORMATIONS [J].
POTTS, RB .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1952, 48 (01) :106-109
12