Testing a Variational Approach to Random Directed Polymers
Disordered Systems and Neural Networks
2007-05-23 v1
Abstract
The one dimensional direct polymer in random media model is investigated using a variational approach in the replica space. We demonstrate numerically that the stable point is a maximum and the corresponding statistical properties for the delta correlated potential are in good agreements with the known analytic solution. In the case of power-law correlated potential two regimes are recovered: a Flory scaling dependent on the exponent of the correlations, and a short range regime in analogy with the delta-correlated potential case.
Keywords
Cite
@article{arxiv.cond-mat/9902338,
title = {Testing a Variational Approach to Random Directed Polymers},
author = {Andrea Pagnani},
journal= {arXiv preprint arXiv:cond-mat/9902338},
year = {2007}
}
Comments
14 pages, 7 eps figures