DYNAMICS NEAR A 1ST-ORDER PHASE-TRANSITION WITH THE METROPOLIS AND SWENDSEN-WANG ALGORITHMS

被引:20
作者
BILLOIRE, A
LACAZE, R
MOREL, A
GUPTA, S
IRBACK, A
PETERSSON, B
机构
[1] CNRS,SDI 6177,F-91190 GIF SUR YVETTE,FRANCE
[2] UNIV BIELEFELD,FAK PHYS,W-4800 BIELEFELD 1,GERMANY
关键词
D O I
10.1016/0550-3213(91)90539-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 simulated the 10-state 2d Potts model with the Metropolis and Swendsen-Wang algorithms, in order to compare their performances near a first-order phase transition. We show that a simple Markov model relates the frequencies of the flips between coexisting phases and the auto-correlation times. It leads to a coherent description of the dynamics. The ratio of the algorithm efficiencies has little temperature dependence. A slight increase of the cluster algorithm efficiency with volume, as compared to the Metropolis method, is suggested.
引用
收藏
页码:231 / 248
页数:18
相关论文
共 25 条
[1]  
[Anonymous], 1983, PHASE TRANSITIONS CR
[2]   POTTS MODEL AT CRITICAL-TEMPERATURE [J].
BAXTER, RJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (23) :L445-L448
[3]   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
[4]  
Billoire A., 1990, Nuclear Physics B, Proceedings Supplements, V17, P230, DOI 10.1016/0920-5632(90)90243-N
[5]   FINITE-SIZE SCALING AT 1ST-ORDER PHASE-TRANSITIONS [J].
BINDER, K ;
LANDAU, DP .
PHYSICAL REVIEW B, 1984, 30 (03) :1477-1485
[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]  
BORGS C, HUTMP90B265 PREPR
[8]   FINITE SIZE EFFECTS IN PHASE-TRANSITIONS [J].
BREZIN, E ;
ZINNJUSTIN, J .
NUCLEAR PHYSICS B, 1985, 257 (06) :867-893
[9]   FINITE-SIZE EFFECTS AT TEMPERATURE-DRIVEN 1ST-ORDER TRANSITIONS [J].
CHALLA, MSS ;
LANDAU, DP ;
BINDER, K .
PHYSICAL REVIEW B, 1986, 34 (03) :1841-1852
[10]   STATIC SCREENING LENGTHS IN THE GLUON PLASMA [J].
DEGRAND, TA ;
DETAR, CE .
PHYSICAL REVIEW D, 1986, 34 (08) :2469-2482