The Wandering Exponent of a One-Dimensional Directed Polymer in a Random Potential with Finite Correlation Radius
Statistical Mechanics
2009-10-30 v1
Abstract
We consider a one-dimensional directed polymer in a random potential which is characterized by the Gaussian statistics with the finite size local correlations. It is shown that the well-known Kardar's solution obtained originally for a directed polymer with delta-correlated random potential can be applied for the description of the present system only in the high-temperature limit. For the low temperature limit we have obtained the new solution which is described by the one-step replica symmetry breaking. For the mean square deviation of the directed polymer of the linear size L it provides the usual scaling with the wandering exponent z = 2/3 and the temperature-independent prefactor.
Keywords
Cite
@article{arxiv.cond-mat/9709258,
title = {The Wandering Exponent of a One-Dimensional Directed Polymer in a Random Potential with Finite Correlation Radius},
author = {S. E. Korshunov and Vik. S. Dotsenko},
journal= {arXiv preprint arXiv:cond-mat/9709258},
year = {2009}
}
Comments
14 pages, Latex