A variational study of directed polymers in disordered media with short-range interactions
Condensed Matter
2007-05-23 v1
Abstract
A variational method that allows for replica-symmetry breaking is applied to directed polymers in an (N+1)-dimensional disordered medium. The noise studied here has gaussian correlations, i.e. it is short-ranged. In dimensions N<2, the variational scheme yields only a strong-coupling phase and anomalous diffusion; while in dimensions N>2 it shows weak- and strong-coupling phases but no anomalous diffusion. Comparisons are made with the results of Mezard and Parisi [11] for noise with power-law correlations.
Cite
@article{arxiv.cond-mat/9310050,
title = {A variational study of directed polymers in disordered media with short-range interactions},
author = {T. Blum},
journal= {arXiv preprint arXiv:cond-mat/9310050},
year = {2007}
}
Comments
14 pages, plain TeX (no additional macros), MAN-TH-TB-93-1