Joint free energy distribution in the random directed polymer problem
Disordered Systems and Neural Networks
2009-11-13 v2 Statistical Mechanics
Abstract
We consider two configurations of a random directed polymer of length L confined to a plane and ending in two points separated by 2u. Defining the mean free energy and the free energy difference F' of the two configurations, we determine the joint distribution function P_{L,u}(\bar F,F') using the replica approach. We find that for large L and large negative free energies , the joint distribution function factorizes into longitudinal (P_{L,u} (\bar F)) and transverse (P_{u}(F')) components, which furthermore coincide with results obtained prevously via different independent routes.
Keywords
Cite
@article{arxiv.0705.0220,
title = {Joint free energy distribution in the random directed polymer problem},
author = {V. S. Dotsenko and L. B. Ioffe and V. B. Geshkenbein and S. E. Korshunov and G. Blatter},
journal= {arXiv preprint arXiv:0705.0220},
year = {2009}
}