Active Width at a Slanted Active Boundary in Directed Percolation
统计力学
2009-10-31 v1
摘要
The width W of the active region around an active moving wall in a directed percolation process diverges at the percolation threshold p_c as W \simeq A \epsilon^{-\nu_\parallel} \ln(\epsilon_0/\epsilon), with \epsilon=p_c-p, \epsilon_0 a constant, and \nu_\parallel=1.734 the critical exponent of the characteristic time needed to reach the stationary state \xi_\parallel \sim \epsilon^{-\nu_\parallel}. The logarithmic factor arises from screening of statistically independent needle shaped sub clusters in the active region. Numerical data confirm this scaling behaviour.
引用
@article{arxiv.cond-mat/9904417,
title = {Active Width at a Slanted Active Boundary in Directed Percolation},
author = {Chun-Chung Chen and Hyunggyu Park and Marcel den Nijs},
journal= {arXiv preprint arXiv:cond-mat/9904417},
year = {2009}
}
备注
5 pages, 5 figures