Directed self-avoiding walks in random media

被引:11
|
作者
Santra, S.B. [1 ]
Seitz, W.A. [1 ]
Klein, D.J. [1 ]
机构
[1] Texas A and M Univ. at Galveston, Galveston, TX 77553-1675, United States
来源
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2001年 / 63卷 / 6 II期
关键词
Computer simulation - Crystal lattices - Mathematical models - Monte Carlo methods - Percolation (solid state) - Random processes - Shrinkage - Swelling;
D O I
10.1103/PhysRevE.63.067101
中图分类号
学科分类号
摘要
The longitudinal extension and the transverse fluctuation of two directed self-avoiding walks, DSAW3s and ODSAWs, on random lattices in two dimensions were studied. Based on the results, the effect of randomness of the medium on these directed walks was clarified.
引用
收藏
页码:1 / 067101
相关论文
共 50 条
  • [41] SPIRALLING SELF-AVOIDING WALKS
    KLEIN, DJ
    HITE, GE
    SCHMALZ, TG
    SEITZ, WA
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (04): : L209 - L214
  • [42] SPIRAL SELF-AVOIDING WALKS
    PRIVMAN, V
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (15): : L571 - L573
  • [43] Weighted self-avoiding walks
    Geoffrey R. Grimmett
    Zhongyang Li
    Journal of Algebraic Combinatorics, 2020, 52 : 77 - 102
  • [44] IRREVERSIBLE SELF-AVOIDING WALKS
    LYKLEMA, JW
    KREMER, K
    JOURNAL OF STATISTICAL PHYSICS, 1985, 39 (1-2) : 253 - 253
  • [45] Self-avoiding walks and amenability
    Grimmett, Geoffrey R.
    Li, Zhongyang
    ELECTRONIC JOURNAL OF COMBINATORICS, 2017, 24 (04):
  • [46] Scaling analysis of random walks with persistence lengths: Application to self-avoiding walks
    Granzotti, C. R. F.
    Martinez, A. S.
    da Silva, M. A. A.
    PHYSICAL REVIEW E, 2016, 93 (05)
  • [47] The shape of self-avoiding walks
    Sciutto, SJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (17): : 5455 - 5473
  • [48] POLYMERS AS SELF-AVOIDING WALKS
    FREED, KF
    ANNALS OF PROBABILITY, 1981, 9 (04): : 537 - 551
  • [49] ON NUMBER OF SELF-AVOIDING WALKS
    KESTEN, H
    JOURNAL OF MATHEMATICAL PHYSICS, 1963, 4 (07) : 960 - &
  • [50] Endless self-avoiding walks
    Clisby, Nathan
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (23)