Localization Transition for Polymers in Poissonian Medium
Probability
2016-01-25 v2
Abstract
We study a model of directed polymers in random environment in dimension , given by a Brownian motion in a Poissonian potential. We study the effect of the density and the strength of inhomogeneities, respectively the intensity parameter of the Poisson field and the temperature inverse . Our results are: (i) fine information on the phase diagram, with quantitative estimates on the critical curve; (ii) pathwise localization at low temperature and/or large density; (iii) complete localization in a favourite corridor for large and bounded .
Cite
@article{arxiv.1206.1231,
title = {Localization Transition for Polymers in Poissonian Medium},
author = {Francis Comets and Nobuo Yoshida},
journal= {arXiv preprint arXiv:1206.1231},
year = {2016}
}