Distribution function of the endpoint fluctuations of one-dimensional directed polymers in a random potential
Statistical Mechanics
2015-06-11 v2 Mathematical Physics
math.MP
Abstract
The explicit expression for the the probability distribution function of the endpoint fluctuations of one-dimensional directed polymers in random potential is derived in terms of the Bethe ansatz replica technique by mapping the replicated problem to the N-particle quantum boson system with attractive interactions.
Keywords
Cite
@article{arxiv.1209.6166,
title = {Distribution function of the endpoint fluctuations of one-dimensional directed polymers in a random potential},
author = {Victor Dotsenko},
journal= {arXiv preprint arXiv:1209.6166},
year = {2015}
}
Comments
15 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1209.3603