From lattice long-range percolation to the continuum one

被引：12
|
作者：
d'Iribarne, C [1 ]
Rasigni, M [1 ]
Rasigni, G [1 ]
机构：
[1] Fac Sci & Tech St Jerome, Dept Phys Interact Photons Mat, F-13397 Marseille 20, France
来源：
PHYSICS LETTERS A | 1999年 / 263卷 / 1-2期
关键词：
percolation; graphs;
D O I：
10.1016/S0375-9601(99)00585-X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Graph theory through the minimal spanning tree is used to study the so-called long-range percolation (LRP). The percolation thresholds are determined for the ten nearest-neighbour connections related to the eleven mosaics permitted in the plane. It is shown that LRP makes it possible to retrieve the behaviour of continuum percolation. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：65 / 69
页数：5
相关论文
共 50 条
  • [21] Percolation with long-range correlated disorder
    Schrenk, K. J.
    Pose, N.
    Kranz, J. J.
    van Kessenich, L. V. M.
    Araujo, N. A. M.
    Herrmann, H. J.
    PHYSICAL REVIEW E, 2013, 88 (05)
  • [22] The diameter of a long-range percolation graph
    Coppersmith, D
    Camarnik, D
    Sviridenko, M
    MATHEMATICS AND COMPUTER SCIENCE II: ALGORITHMS, TREES, COMBINATORICS AND PROBABILITIES, 2002, : 147 - 159
  • [23] The diameter of a long-range percolation graph
    Coppersmith, D
    Gamarnik, D
    Sviridenko, M
    RANDOM STRUCTURES & ALGORITHMS, 2002, 21 (01) : 1 - 13
  • [24] Graph Diameter in Long-Range Percolation
    Biskup, Marek
    RANDOM STRUCTURES & ALGORITHMS, 2011, 39 (02) : 210 - 227
  • [25] Cumulative merging percolation: A long-range percolation process in networks
    Cirigliano, Lorenzo
    Cimini, Giulio
    Pastor-Satorras, Romualdo
    Castellano, Claudio
    PHYSICAL REVIEW E, 2022, 105 (05)
  • [26] The one-arm exponent for mean-field long-range percolation
    Hulshof, Tim
    ELECTRONIC JOURNAL OF PROBABILITY, 2015, 20
  • [27] PERCOLATION OF WORDS ON Zd WITH LONG-RANGE CONNECTIONS
    De Lima, B. N. B.
    Sanchis, R.
    Silva, R. W. C.
    JOURNAL OF APPLIED PROBABILITY, 2011, 48 (04) : 1152 - 1162
  • [28] Truncated Long-Range Percolation on Oriented Graphs
    van Enter, A. C. D.
    de Lima, B. N. B.
    Valesin, D.
    JOURNAL OF STATISTICAL PHYSICS, 2016, 164 (01) : 166 - 173
  • [29] Tricritical Directed Percolation with Long-Range Spreading
    Hnatic, Michal
    Lucivjansky, Tomas
    Mizisin, Lukas
    12TH CHAOTIC MODELING AND SIMULATION INTERNATIONAL CONFERENCE, 2020, : 101 - 110
  • [30] Percolation with long-range correlations for epidemic spreading
    Tan, ZJ
    Zou, XW
    Jin, ZZ
    PHYSICAL REVIEW E, 2000, 62 (06): : 8409 - 8412
12345