Directed Percolation and Generalized Friendly Walkers
统计力学
2009-10-31 v1
摘要
We show that the problem of directed percolation on an arbitrary lattice is equivalent to the problem of m directed random walkers with rather general attractive interactions, when suitably continued to m=0. In 1+1 dimensions, this is dual to a model of interacting steps on a vicinal surface. A similar correspondence with interacting self-avoiding walks is constructed for isotropic percolation.
引用
@article{arxiv.cond-mat/9902141,
title = {Directed Percolation and Generalized Friendly Walkers},
author = {John Cardy and Francesca Colaiori},
journal= {arXiv preprint arXiv:cond-mat/9902141},
year = {2009}
}
备注
4 pages, 3 figures, to be published in Phys. Rev. Lett