Site percolation for a class of constrained honeycomb lattices

被引：2
|
作者：
Bendisch, J [1 ]
Reimann, S
von Trotha, H
机构：
[1] Fraunhofer Inst Algorithms & Sci Computat, D-53757 St Augustin, Germany
[2] Univ Bielefeld, Fac Phys Theoret Phys, Bielefeld, Germany
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2002年 / 307卷 / 1-2期
关键词：
thresholds in 2D site percolation; class of constrained honeycomb lattices;
D O I：
10.1016/S0378-4371(01)00611-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider site percolation in a class of correlated random media derived from randomly bi-colored triangular lattices. Media are constructed due to specific state-dependent local constraints. Constraints destroy stochastic independence of elementary events and have specific impact on site percolation thresholds. Further, a connection to critical concentrations of spontaneous magnetization in random 2D +/- J Ising models, at groundstates, is discussed. (C) 2002 Elsevier Science B.V.. All rights reserved.
引用
收藏
页码：1 / 14
页数：14
相关论文
共 50 条
  • [1] Random site percolation on honeycomb lattices with complex neighborhoods
    Malarz, Krzysztof
    CHAOS, 2022, 32 (08)
  • [2] SITE PERCOLATION-THRESHOLD FOR HONEYCOMB AND SQUARE LATTICES
    DJORDJEVIC, ZV
    STANLEY, HE
    MARGOLINA, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (08): : L405 - L412
  • [3] BOND PERCOLATION ON HONEYCOMB AND TRIANGULAR LATTICES
    WIERMAN, JC
    ADVANCES IN APPLIED PROBABILITY, 1981, 13 (02) : 298 - 313
  • [4] THE PAIR CONNECTEDNESS FOR DIRECTED PERCOLATION ON THE HONEYCOMB AND DIAMOND LATTICES
    ESSAM, JW
    DEBELL, K
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (11): : L601 - L604
  • [5] Site trimer percolation on square lattices
    Lebrecht, W.
    Vogel, E. E.
    Valdes, J. F.
    Ramirez-Pastor, A. J.
    Centres, P. M.
    Gonzalez, M. I.
    Nieto, F. D.
    PHYSICAL REVIEW E, 2015, 92 (01):
  • [6] Site percolation thresholds for Archimedean lattices
    Suding, PN
    Ziff, RM
    PHYSICAL REVIEW E, 1999, 60 (01) : 275 - 283
  • [7] Site percolation thresholds for Archimedean lattices
    Suding, Paul N.
    Ziff, Robert M.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 60 (01):
  • [8] Percolation threshold of a class of correlated lattices
    Phys Rev E., 6 (6586):
  • [9] Percolation threshold of a class of correlated lattices
    Mendelson, KS
    PHYSICAL REVIEW E, 1997, 56 (06): : 6586 - 6588
  • [10] SERIES EXPANSIONS OF THE PERCOLATION PROBABILITY FOR DIRECTED SQUARE AND HONEYCOMB LATTICES
    JENSEN, I
    GUTTMANN, AJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (17): : 4813 - 4833
12345