Random Walk Delayed on Percolation Clusters
Random Walk Delayed on Percolation Clusters
复制标题
渗滤簇上的随机游走延迟
DOI：
10.1239/jap/1222441823
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发表时间：
2007
影响因子：
1
通讯作者：
F. Simenhaus
中科院分区：
文献类型：
--
作者：
F. Comets;F. Simenhaus
我们研究了连续时间的随机行走的d维晶格，受到漂移和吸引力的大集群的亚临界伯努利网站渗流。我们发现两个不同的制度：弹道一个，和亚弹道一个发生时，吸引力足够强。我们确定的速度在前一种情况下，在后一种情况下的代数逃逸率。最后，我们讨论了零漂移和弱吸引情况下的扩散行为。
We study a continuous-time random walk on the d-dimensional lattice, subject to a drift and an attraction to large clusters of a subcritical Bernoulli site percolation. We find two distinct regimes: a ballistic one, and a subballistic one taking place when the attraction is strong enough. We identify the speed in the former case, and the algebraic rate of escape in the latter case. Finally, we discuss the diffusive behavior in the case of zero drift and weak attraction.