Lectures on random polymers
Abstract
These lecture notes are a guided tour through the fascinating world of polymer chains interacting with themselves and/or with their environment. The focus is on the mathematical description of a number of physical and chemical phenomena, with particular emphasis on phase transitions and space-time scaling. The topics covered, though only a selection, are typical for the area. Sections 1-3 describe models of polymers without disorder, Sections 4-6 models of polymers with disorder. Appendices A-E contain tutorials in which a number of key techniques are explained in more detail.
Cite
@article{arxiv.1106.6204,
title = {Lectures on random polymers},
author = {Francesco Caravenna and Frank den Hollander and Nicolas Pétrélis},
journal= {arXiv preprint arXiv:1106.6204},
year = {2012}
}
Comments
75 pages, 47 figures. These are the lectures and tutorials given at the XIV Brazilian School of Probability and Clay Mathematics Institute 2010 Summer School "Probability and Statistical Physics in Two and more Dimensions", B\'uzios - Rio de Janeiro (BR), 2-7 August 2010. Final version to appear on Clay Mathematics Proceedings 15 (2012)