Critical dynamics of the contact process with quenched disorder
Critical dynamics of the contact process with quenched disorder
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DOI：
10.1103/physreve.54.r3090
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发表时间：
1996-10-01
影响因子：
2.4
通讯作者：
Dickman, R
中科院分区：
文献类型：
--
作者：
Moreira, AG;Dickman, R
研究了随机稀释型猝灭无序二维接触过程的蒙特卡罗模拟中的临界扩散问题。在PURL模型中，单个粒子在临界点的扩散与定向渗流的临界指数服从幂函数关系。对于无序，临界扩散是对数律，而不是幂定律。在lambda(C)下面有一个Griffiths阶段，在该阶段中，时间依赖关系受非普适的幂定律支配。在活跃期，无序的影响也很明显，在活跃期，存活概率的松弛是代数的，而不是纯模型中的指数。我们的结果支持Bramson，Durrett和Schonmann[Ann]的猜想。探头。19,960(1991)]，在二维或更多的维度上，无序的CP只有一个相变。
We study critical spreading in Monte Carlo simulations of the two-dimensional contact process (CP) with quenched disorder in the form of random dilution. In the purl model, spreading from a single particle at the critical point lambda(c) follows power laws with the critical exponents of directed percolation. With disorder, critical spreading is logarithmic not power law. Below lambda(c) there is a Griffiths phase in which the time dependence is governed by nonuniversal power laws. The effects of disorder are also apparent above lambda(c), in the active phase, where the relaxation of the survival probability is algebraic, rather than exponential, as in the pure model. Our results support the conjecture by Bramson, Durrett, and Schonmann [Ann. Prob. 19, 960 (1991)], that in two or more dimensions the disordered CP has only a single phase transition.