Universality and Crossover of Directed Polymers and Growing Surfaces
Statistical Mechanics
2009-10-31 v1
Abstract
We study KPZ surfaces on Euclidean lattices and directed polymers on hierarchical lattices subject to different distributions of disorder, showing that universality holds, at odds with recent results on Euclidean lattices. Moreover, we find the presence of a slow (power-law) crossover toward the universal values of the exponents and verify that the exponent governing such crossover is universal too. In the limit of a 1+epsilon dimensional system we obtain both numerically and analytically that the crossover exponent is 1/2.
Keywords
Cite
@article{arxiv.cond-mat/9903315,
title = {Universality and Crossover of Directed Polymers and Growing Surfaces},
author = {Paolo De Los Rios},
journal= {arXiv preprint arXiv:cond-mat/9903315},
year = {2009}
}
Comments
LateX file + 5 .eps figures; to appear on Phys. Rev. Lett