NONLOCAL MONTE-CARLO ALGORITHM FOR SELF-AVOIDING WALKS WITH FIXED END-POINTS

被引:49
作者
CARACCIOLO, S
PELISSETTO, A
SOKAL, AD
机构
[1] IST NAZL FIS NUCL,PISA,ITALY
[2] NYU,DEPT PHYS,NEW YORK,NY 10003
关键词
BFACF algorithm; critical exponent; cut-and-paste; Monte Carlo; pivot algorithm; polymer; Self-avoiding walk;
D O I
10.1007/BF01013668
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study a new Monte Carlo algorithm for generating self-avoiding walks with variable length (controlled by a fugacity β) and fixed endpoints. The algorithm is a hybrid of local (BFACF) and nonlocal (cut-and-paste) moves. We find that the critical slowing-down, measured in units of computer time, is reduced compared to the pure BFACF algorithm:τCPU∼ 〈N〉≈2.3 versus 〈N〉≈3.0. We also prove some rigorous bounds on the autocorrelation time for these and related Monte Carlo algorithms. © 1990 Plenum Publishing Corporation.
引用
收藏
页码:1 / 53
页数:53
相关论文
共 72 条
[61]  
Sidak Z., 1964, CZECH MATH J, V14, P438
[62]   CONVERGENCE OF SELF-AVOIDING RANDOM-WALK TO BROWNIAN-MOTION IN HIGH DIMENSIONS [J].
SLADE, G .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (07) :L417-L420
[63]   THE DIFFUSION OF SELF-AVOIDING RANDOM-WALK IN HIGH DIMENSIONS [J].
SLADE, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 110 (04) :661-683
[64]   THE SCALING LIMIT OF SELF-AVOIDING RANDOM-WALK IN HIGH DIMENSIONS [J].
SLADE, G .
ANNALS OF PROBABILITY, 1989, 17 (01) :91-107
[65]   EXPONENTIAL CONVERGENCE TO EQUILIBRIUM FOR A CLASS OF RANDOM-WALK MODELS [J].
SOKAL, AD ;
THOMAS, LE .
JOURNAL OF STATISTICAL PHYSICS, 1989, 54 (3-4) :797-828
[66]   ABSENCE OF MASS GAP FOR A CLASS OF STOCHASTIC CONTOUR MODELS [J].
SOKAL, AD ;
THOMAS, LE .
JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (5-6) :907-947
[67]  
Stanley H. E., 1971, PHASE TRANSITIONS CR
[68]   DYNAMICS OF ROUGHENING AND GROWTH OF TWO-DIMENSIONAL SELF-AVOIDING WALKS [J].
STAUFFER, D ;
JAN, N .
CANADIAN JOURNAL OF PHYSICS, 1988, 66 (02) :187-191
[69]   NONUNIVERSAL CRITICAL-DYNAMICS IN MONTE-CARLO SIMULATIONS [J].
SWENDSEN, RH ;
WANG, JS .
PHYSICAL REVIEW LETTERS, 1987, 58 (02) :86-88
[70]  
VANRENSBURG EJJ, IN PRESS J PHYS A