Asymptotic behavior for a generalized Domany-Kinzel model

Shu Chiuan Chang, Lung Chi Chen, Chien Hao Huang

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)


We consider a version of directed bond percolation on the square lattice such that horizontal edges are directed rightward with probabilities one, and vertical edges are directed upward with probabilities p 1, p 2 alternatively in even rows and probabilities p 2, p 1 alternatively in odd rows, where , , but . Let be the probability that there is at least one connected-directed path of occupied edges from (0, 0) to (M,N). Defining the aspect ratio , we show that there is a critical value such that as , is 1, 0 and 1/2 for , and , respectively. In particular, the model reduces to the square lattice with uniform vertical probability when [1], and the model reduces to the honeycomb lattice when one of p 1 and p 2 is equal to 0. We study how the critical value changes between the square lattice and the honeycomb lattice as bricks. In this article, we investigate the rate of convergence of and the asymptotic behavior of and , where and as .

期刊Journal of Statistical Mechanics: Theory and Experiment
出版狀態Published - 2017 2月 27

All Science Journal Classification (ASJC) codes

  • 統計與非線性物理學
  • 統計與概率
  • 統計、概率和不確定性


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