IDEAL CHAIN ON A 2-DIMENSIONAL CRITICAL PERCOLATION CLUSTER

被引：12
|
作者：
GIACOMETTI, A
NAKANISHI, H
MARITAN, A
FUCHS, NH
机构：
[1] PENN STATE UNIV,DAVEY LAB 104,UNIV PK,PA 16802
[2] UNIV PADUA,DIPARTIMENTO FIS,I-35131 PADUA,ITALY
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 08期
关键词：
D O I：
10.1088/0305-4470/25/8/014
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the statistics of the ideal chain (or equally weighted trajectories) for the first time on a two-dimensional critical percolation cluster. We discuss the asymptotic behaviour of the mean end-to-end distance and the number of chains for the long chain limit by exact enumeration. Our results strongly suggest that this problem does not belong to the same universality class as the random walk (or kinetically weighted trajectories) on the same fractal cluster.
引用
收藏
页码：L461 / L468
页数：8
相关论文
共 50 条
  • [1] THE FRACTAL VOLUME OF THE 2-DIMENSIONAL INVASION PERCOLATION CLUSTER
    ZHANG, Y
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 167 (02) : 237 - 254
  • [2] CRITICAL INDEXES OF CONDUCTIVITY IN 2-DIMENSIONAL PERCOLATION PROBLEMS
    LEVINSHTEIN, ME
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1977, 10 (11): : 1895 - 1901
  • [3] UNIVERSALITY TEST FOR CRITICAL AMPLITUDES IN 2-DIMENSIONAL PERCOLATION
    MARRO, J
    PHYSICS LETTERS A, 1976, 59 (03) : 180 - 182
  • [4] EXACT DISTRIBUTION OF CLUSTER SIZE AND PERIMETER FOR 2-DIMENSIONAL PERCOLATION
    STAUFFER, D
    ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1976, 25 (04): : 391 - 399
  • [5] DIFFUSION ON 2-DIMENSIONAL PERCOLATION CLUSTERS - INFLUENCE OF CLUSTER ANISOTROPY
    MURALIDHAR, R
    JACOBS, DJ
    RAMKRISHNA, D
    NAKANISHI, H
    PHYSICAL REVIEW A, 1991, 43 (12): : 6503 - 6517
  • [6] ON 2-DIMENSIONAL PERCOLATION
    CONWAY, AR
    GUTTMANN, AJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (04): : 891 - 904
  • [7] ESTIMATES OF CRITICAL PERCOLATION PROBABILITIES FOR A SET OF 2-DIMENSIONAL LATTICES
    NEAL, DG
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1972, 71 (JAN): : 97 - &
  • [8] FRAGMENTATION OF INVASION PERCOLATION CLUSTER IN 2-DIMENSIONAL POROUS-MEDIA
    WAGNER, G
    BIROVLJEV, A
    MEAKIN, P
    FEDER, J
    JOSSANG, T
    EUROPHYSICS LETTERS, 1995, 31 (03): : 139 - 144
  • [9] SCALING FUNCTION FOR CLUSTER SIZE DISTRIBUTION IN 2-DIMENSIONAL SITE PERCOLATION
    WOLFF, WF
    STAUFFER, D
    ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1978, 29 (01): : 67 - 69
  • [10] PERCOLATION IN 2-DIMENSIONAL LATTICES
    KURKIJARVI, J
    PADMORE, TC
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1975, 8 (05): : 683 - 696
12345