Fluctuation exponents for directed polymers in the intermediate disorder regime
Probability
2013-12-03 v1 Mathematical Physics
math.MP
Abstract
We compute the fluctuation exponents for a solvable model of one-dimensional directed polymers in random environment in the intermediate regime. This regime corresponds to taking the inverse temperature to zero with the size of the system. The exponents satisfy the KPZ scaling relation and coincide with physical predictions. In the critical case, we recover the fluctuation exponents of the Cole-Hopf solution of the KPZ equation in equilibrium and close to equilibrium.
Keywords
Cite
@article{arxiv.1312.0519,
title = {Fluctuation exponents for directed polymers in the intermediate disorder regime},
author = {Gregorio R. Moreno Flores and Timo Seppäläinen and Benedek Valkó},
journal= {arXiv preprint arXiv:1312.0519},
year = {2013}
}
Comments
30 pages