The density of interfaces: a new first-passage problem
The density of interfaces: a new first-passage problem
复制标题
界面密度：一个新的首次通过问题
DOI：
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发表时间：
1993
影响因子：
1
通讯作者：
C. Winfield
中科院分区：
文献类型：
--
作者：
L. Chayes;C. Winfield
我们介绍并研究了一种新型的第一步渗透问题，其中相关的第一邮器时间测量了两种类型的站点之间的界面密度。 p和（1 - p），我们表明界面的密度不是零，前提是两个物种在渗透方面都是亚临界的，即PC> p> 1 - PC。或p↓（1 - p c），界面密度随着缩放行为与位点渗透问题的相关长度相同而消失。
We introduce and study a novel type of first-passage percolation problem on where the associated first-passage time measures the density of interface between two types of sites. If the types, designated + and –, are independently assigned their values with probability p and (1 — p) respectively, we show that the density of interface is non-zero provided that both species are subcritical with regard to percolation, i.e. pc > p > 1 – pc. Furthermore, we show that as p ↑ pc or p ↓ (1 – p c), the interface density vanishes with scaling behavior identical to the correlation length of the site percolation problem.