`Generalized des Cloizeaux' exponent for self-avoiding walks on the incipient percolation cluster

被引：16
|
作者：
机构：
[1] Ordemann, Anke
[2] Porto, Markus
[3] Roman, H. Eduardo
[4] Havlin, Shlomo
来源：
Ordemann, Anke | 2001年 / American Inst of Physics, Woodbury, NY, United States卷 / 63期
关键词：
Lattice constants - Monte Carlo methods - Numerical methods - Percolation (solid state) - Probability distributions - Random processes;
D O I：
10.1103/PhysRevE.63.020104
中图分类号：
学科分类号：
摘要：
Self avoiding random walks (SAW) on the backbone of the incipient percolation cluster was studied using `generalized des Cloizeaux' expression. The Pythagorian and topological metrics were distinguished on percolation clusters. Mean averages were taken to analyze the scaling behavior of SAW. Numerical results for SAW on the backbone of percolation clusters were roughly consistent in two dimensions.
引用
收藏
相关论文
共 50 条
  • [21] SELF-AVOIDING WALKS ON PERCOLATION CLUSTERS AT CRITICALITY AND LATTICE ANIMALS
    LAM, PM
    ZHANG, ZQ
    ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1984, 56 (02): : 155 - 159
  • [22] FLORY APPROXIMANTS AND SELF-AVOIDING WALKS ON CRITICAL PERCOLATION CLUSTERS
    KIM, Y
    PHYSICAL REVIEW A, 1992, 45 (08): : 6103 - 6106
  • [23] Walking on fractals: diffusion and self-avoiding walks on percolation clusters
    Blavatska, V.
    Janke, W.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (01)
  • [24] STATISTICS OF DIRECTED SELF-AVOIDING WALKS ON PERCOLATION CLUSTERS AT THE PERCOLATION-THRESHOLD
    ROY, AK
    MANNA, SS
    ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1985, 61 (02): : 205 - 208
  • [25] CRITICAL-BEHAVIOR OF SELF-AVOIDING WALKS ON PERCOLATION CLUSTERS
    VANDERZANDE, C
    KOMODA, A
    PHYSICAL REVIEW A, 1992, 45 (08): : R5335 - R5338
  • [26] Conformal Invariance in Percolation, Self-Avoiding Walks, and Related Problems
    John Cardy
    Annales Henri Poincaré, 2003, 4 : 371 - 384
  • [27] SELF-AVOIDING WALKS
    SLADE, G
    MATHEMATICAL INTELLIGENCER, 1994, 16 (01): : 29 - 35
  • [28] SELF-AVOIDING WALKS
    PELITI, L
    PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1984, 103 (1-4): : 225 - 231
  • [29] SELF-AVOIDING WALKS
    HAMMERSLEY, JM
    PHYSICA A, 1991, 177 (1-3): : 51 - 57
  • [30] SELF-AVOIDING WALKS
    HAMMERSLEY, JM
    ADVANCES IN APPLIED PROBABILITY, 1975, 7 (02) : 234 - 234
12345