Universal behavior of one-dimensional multispecies branching and annihilating random walks with exclusion

被引:7
|
作者
Odor, G [1 ]
机构
[1] Res Inst Tech Phys & Mat Sci, H-1525 Budapest, Hungary
来源
PHYSICAL REVIEW E | 2001年 / 63卷 / 05期
关键词
D O I
10.1103/PhysRevE.63.056108
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A directed percolation process with two symmetric particle species exhibiting exclusion in one dimension is investigated numerically. It is shown that if the species are coupled by branching (A --> AB, B --> BA), a continuous phase transition will appear at the zero-branching-rate limit belonging to the same universality class as that of the two component branching and annihilating random-walk model with two symmetric offsprings. This class persists even if the branching is biased towards one of the species. If the two systems are not coupled by branching but a hard-core interaction is allowed only the transition will occur at finite branching rate belonging to the usual (1 + 1)-dimensional directed percolation class.
引用
收藏
页码:561081 / 561083
页数:3
相关论文
共 50 条
  • [1] Annihilating random walks in one-dimensional disordered media
    Schutz, G.M.
    Mussawisade, K.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1998, 57 (3-A):
  • [2] Annihilating random walks in one-dimensional disordered media
    Schutz, GM
    Mussawisade, K
    PHYSICAL REVIEW E, 1998, 57 (03) : 2563 - 2567
  • [3] One-dimensional branching random walks in a Markovian random environment
    Machado, FP
    Popov, SY
    JOURNAL OF APPLIED PROBABILITY, 2000, 37 (04) : 1157 - 1163
  • [4] Theory of branching and annihilating random walks
    Cardy, J
    Tauber, UC
    PHYSICAL REVIEW LETTERS, 1996, 77 (23) : 4780 - 4783
  • [5] Two-species branching annihilating random walks with one offspring
    Kwon, S
    Park, H
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2001, 38 (05) : 490 - 493
  • [6] Field Theory of Branching and Annihilating Random Walks
    Cardy, J. L.
    Taeuber, U. C.
    Journal of Statistical Physics, 90 (1-2):
  • [7] Field Theory of Branching and Annihilating Random Walks
    John L. Cardy
    Uwe C. Täuber
    Journal of Statistical Physics, 1998, 90 : 1 - 56
  • [8] Field theory of branching and annihilating random walks
    Cardy, JL
    Tauber, UC
    JOURNAL OF STATISTICAL PHYSICS, 1998, 90 (1-2) : 1 - 56
  • [9] One-dimensional generalized branching annihilating random walker process with stochastic generation of offsprings
    Albano, EV
    Hoyuelos, M
    Martin, HO
    PHYSICA A, 1997, 239 (04): : 531 - 541
  • [10] One-dimensional generalized branching annihilating random walker process with stochastic generation of offsprings
    Albano, E.V.
    Hoyuelos, M.
    Martin, H.O.
    Physica A: Statistical Mechanics and its Applications, 1997, 239 (04): : 531 - 541