A NUMERICAL STUDY OF FINITE-SIZE SCALING FOR 1ST-ORDER PHASE-TRANSITIONS

被引:44
作者
BILLOIRE, A
LACAZE, R
MOREL, A
机构
[1] Service de Physique Théorique, Saclay Laboratoire de la Direction des Sciences de la Matière, CEA
关键词
D O I
10.1016/0550-3213(92)90431-A
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We have performed a very high statistics numerical simulation of the q = 10 and q = 7 two-dimensional Potts models, in the transition region. Results are compared to the rigorous asymptotic predictions of Borgs, Kotecky and Miracle-Sole. The leading behavior as a function of the lattice size does agree with predictions. The expected next to leading terms are not always seen, and we observe sizable non-scaling corrections, which theory predicts to become exponentially small on large lattices.
引用
收藏
页码:773 / 796
页数:24
相关论文
共 34 条
[1]  
Baxter R. J., 2007, EXACTLY SOLVED MODEL
[2]   MAGNETIZATION DISCONTINUITY OF THE TWO-DIMENSIONAL POTTS-MODEL [J].
BAXTER, RJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (10) :3329-3340
[3]   DYNAMICS NEAR A 1ST-ORDER PHASE-TRANSITION WITH THE METROPOLIS AND SWENDSEN-WANG ALGORITHMS [J].
BILLOIRE, A ;
LACAZE, R ;
MOREL, A ;
GUPTA, S ;
IRBACK, A ;
PETERSSON, B .
NUCLEAR PHYSICS B, 1991, 358 (01) :231-248
[4]   FINITE-SIZE EFFECTS AT TEMPERATURE-DRIVEN 1ST-ORDER TRANSITIONS - COMMENT [J].
BILLOIRE, A ;
LACAZE, R ;
MOREL, A ;
GUPTA, S ;
IRBACK, A ;
PETERSSON, B .
PHYSICAL REVIEW B, 1990, 42 (10) :6743-6744
[5]  
Billoire A., 1991, Nuclear Physics B, Proceedings Supplements, V20, P661, DOI 10.1016/0920-5632(91)90995-Q
[6]  
BILLOIRE A, 1990, IN PRESS JUN WORKSH
[7]   THEORY OF 1ST-ORDER PHASE-TRANSITIONS [J].
BINDER, K .
REPORTS ON PROGRESS IN PHYSICS, 1987, 50 (07) :783-859
[8]   FINITE-SIZE SCALING AT 1ST-ORDER PHASE-TRANSITIONS [J].
BINDER, K ;
LANDAU, DP .
PHYSICAL REVIEW B, 1984, 30 (03) :1477-1485
[9]  
BINDER K, 1988, SPRINGER SERIES SOLI, V80
[10]  
Binder K., 1990, FINITE SIZE SCALING