FINITE-SIZE SCALING OF THE 3-STATE POTTS-MODEL ON A SIMPLE CUBIC LATTICE

被引:31
作者
FUKUGITA, M
MINO, H
OKAWA, M
UKAWA, A
机构
[1] NATL LAB HIGH ENERGY PHYS, OHO, IBARAKI 305, JAPAN
[2] UNIV TSUKUBA, SAKURA, IBARAKI 305, JAPAN
关键词
finite-size scaling; Monte Carlo simulation; Potts model;
D O I
10.1007/BF01334757
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Finite-size scaling is studied for the three-state Potts model on a simple cubic lattice. We show that the specific heat and the magnetic susceptibility scale accurately as the volume. The correlation length exhibits behaviors expected for a genuine first-order transition; the one extracted from the unsubtracted correlation function shows a characteristic finite-size behavior, whereas the physical correlation length that characterizes the first excited state stays at a finite value and is discontinuous at the transition point. © 1990 Plenum Publishing Corporation.
引用
收藏
页码:1397 / 1429
页数:33
相关论文
共 39 条
[1]  
ALVES NA, 1989, FSUSCRI8975
[2]  
[Anonymous], 1971, CRITICAL PHENOMENA
[3]  
[Anonymous], 1983, PHASE TRANSITIONS CR
[4]   FINITE-SIZE SCALING IN THE 3-DIMENSIONAL ISING-MODEL [J].
BARBER, MN ;
PEARSON, RB ;
TOUSSAINT, D ;
RICHARDSON, JL .
PHYSICAL REVIEW B, 1985, 32 (03) :1720-1730
[5]   POTTS MODEL AT CRITICAL-TEMPERATURE [J].
BAXTER, RJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (23) :L445-L448
[6]   ACCURATE ESTIMATE OF V FOR THE 3-DIMENSIONAL ISING-MODEL FROM A NUMERICAL MEASUREMENT OF ITS PARTITION-FUNCTION [J].
BHANOT, G ;
SALVADOR, R ;
BLACK, S ;
CARTER, P ;
TORAL, R .
PHYSICAL REVIEW LETTERS, 1987, 59 (07) :803-806
[7]   FINITE-SIZE SCALING AND THE 3-DIMENSIONAL ISING-MODEL [J].
BHANOT, G ;
DUKE, D ;
SALVADOR, R .
PHYSICAL REVIEW B, 1986, 33 (11) :7841-7844
[8]   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
[9]   1ST-ORDER PHASE-TRANSITIONS AND THE 3-STATE POTTS MODEL [J].
BLOTE, HWJ ;
SWENDSEN, RH .
PHYSICAL REVIEW LETTERS, 1979, 43 (11) :799-802
[10]   GAUSSIAN ENSEMBLE - AN ALTERNATE MONTE-CARLO SCHEME [J].
CHALLA, MSS ;
HETHERINGTON, JH .
PHYSICAL REVIEW A, 1988, 38 (12) :6324-6337