Temporally disordered bond percolation on the directed square lattice

被引:47
|
作者
Jensen, I
机构
[1] Department of Mathematics, University of Melbourne, Parkville, VIC
关键词
D O I
10.1103/PhysRevLett.77.4988
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Simple models of directed bond percolation with temporal disorder are introduced and studied via series expansions and Monte Carlo simulations. Series have been derived for the percolation probability on the directed square lattice. Analysis of the series revealed that the critical exponent beta and critical point p(c) change continuously with the strength of the disorder. Monte Carlo simulation confirmed the continuous change of critical exponents. Estimates for the temporal correlation-length exponent nu(parallel to) for weak disorder showed that nu(parallel to) < 2 in apparent violation of the Harris criterion.
引用
收藏
页码:4988 / 4991
页数:4
相关论文
共 50 条
  • [41] Percolation on an isotropically directed lattice
    de Noronha, Aurelio W. T.
    Moreira, Andre A.
    Vieira, Andre P.
    Herrmann, Hans J.
    Andrade, Jose S., Jr.
    Carmona, Humberto A.
    PHYSICAL REVIEW E, 2018, 98 (06)
  • [42] BOND PERCOLATION ON THE PENTAGON LATTICE
    WALDOR, MH
    WOLFF, WF
    ZITTARTZ, J
    PHYSICS LETTERS A, 1984, 104 (6-7) : 355 - 356
  • [43] SERIES EXPANSION ANALYSIS OF DIRECTED SITE BOND PERCOLATION ON THE SQUARE AND SIMPLE CUBIC LATTICES
    DEBELL, K
    ESSAM, JW
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (02): : 355 - 363
  • [44] Bond dimer percolation on square lattices
    Lebrecht, W.
    Valdes, J. F.
    Vogel, E. E.
    Nieto, F.
    Ramirez-Pastor, A. J.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2014, 398 : 234 - 242
  • [45] Poisson percolation on the oriented square lattice
    Cristali, Irina
    Junge, Matthew
    Durrett, Rick
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 130 (02) : 488 - 502
  • [46] Percolation of polyatomic species on a square lattice
    Cornette, V
    Ramirez-Pastor, AJ
    Nieto, F
    EUROPEAN PHYSICAL JOURNAL B, 2003, 36 (03): : 391 - 399
  • [47] Percolation of aligned dimers on a square lattice
    V. A. Cherkasova
    Y. Y. Tarasevich
    N. I. Lebovka
    N. V. Vygornitskii
    The European Physical Journal B, 2010, 74 : 205 - 209
  • [48] Percolation of aligned dimers on a square lattice
    Astrakhan State University, 20a Tatishchev Str, Astrakhan 414056, Russia
    不详
    Eur. Phys. J. B, 1600, 2 (205-209):
  • [49] Percolation of aligned dimers on a square lattice
    Cherkasova, V. A.
    Tarasevich, Y. Y.
    Lebovka, N. I.
    Vygornitskii, N. V.
    EUROPEAN PHYSICAL JOURNAL B, 2010, 74 (02): : 205 - 209
  • [50] Percolation of polyatomic species on a square lattice
    V. Cornette
    A. J. Ramirez-Pastor
    F. Nieto
    The European Physical Journal B - Condensed Matter and Complex Systems, 2003, 36 : 391 - 399