RECURSIVE SAMPLING OF RANDOM-WALKS - SELF-AVOIDING WALKS IN DISORDERED MEDIA

被引:77
作者
GRASSBERGER, P
机构
[1] Dept. of Phys., Wuppertal Univ.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 05期
关键词
D O I
10.1088/0305-4470/26/5/022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a new algorithm for simulating random walks which is simple, versatile and efficient. It uses recursive function calls and can be used to obtain unbiased samples with any given length distribution. This makes it particularly useful in disordered geometries where the effective connectivity constant is not known a priori. When applying it to self-avoiding random walks on two-dimensional media with quenched randomness, we find evidence for at least two new renormalization group fixed points.
引用
收藏
页码:1023 / 1036
页数:14
相关论文
共 40 条
[1]   SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384
[2]  
BERETTI A, 1985, J STAT PHYS, V40, P483
[3]   JOIN-AND-CUT ALGORITHM FOR SELF-AVOIDING WALKS WITH VARIABLE LENGTH AND FREE END-POINTS [J].
CARACCIOLO, S ;
PELISSETTO, A ;
SOKAL, AD .
JOURNAL OF STATISTICAL PHYSICS, 1992, 67 (1-2) :65-111
[4]   DIRECTED POLYMERS IN A RANDOM MEDIUM [J].
DERRIDA, B .
PHYSICA A, 1990, 163 (01) :71-84
[5]   CAN DISORDER INDUCE SEVERAL PHASE-TRANSITIONS [J].
DERRIDA, B .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1984, 103 (1-4) :29-39
[6]  
DHAR D, 1986, J PHYS A-MATH GEN, V19, P1057
[7]  
DOUSSAL L, 1991, J STAT PHYS, V64, P541
[8]   THE LONG-TIME PROPERTIES OF DIFFUSION IN A MEDIUM WITH STATIC TRAPS [J].
GRASSBERGER, P ;
PROCACCIA, I .
JOURNAL OF CHEMICAL PHYSICS, 1982, 77 (12) :6281-6284
[9]   DIFFUSION AND DRIFT IN A MEDIUM WITH RANDOMLY DISTRIBUTED TRAPS [J].
GRASSBERGER, P ;
PROCACCIA, I .
PHYSICAL REVIEW A, 1982, 26 (06) :3686-3688
[10]   SOME MORE SANDPILES [J].
GRASSBERGER, P ;
MANNA, SS .
JOURNAL DE PHYSIQUE, 1990, 51 (11) :1077-1098