Directed Polymer -- Directed Percolation Transition
Statistical Mechanics
2009-10-31 v2
Abstract
We study the relation between the directed polymer and the directed percolation models, for the case of a disordered energy landscape where the energies are taken from bimodal distribution. We find that at the critical concentration of the directed percolation, the directed polymer undergoes a transition from the directed polymer universality class to the directed percolation universality class. We also find that directed percolation clusters affect the characterisrics of the directed polymer below the critical concentration.
Cite
@article{arxiv.cond-mat/9904106,
title = {Directed Polymer -- Directed Percolation Transition},
author = {Ehud Perlsman and Shlomo Havlin},
journal= {arXiv preprint arXiv:cond-mat/9904106},
year = {2009}
}
Comments
LaTeX 2e; 12 pages, 5 figures; in press, will be published in Europhys. Lett