Ground-States of Two Directed Polymers
Disordered Systems and Neural Networks
2009-10-31 v1 Statistical Mechanics
Abstract
Joint ground states of two directed polymers in a random medium are investigated. Using exact min-cost flow optimization the true two-line ground-state is compared with the single line ground state plus its first excited state. It is found that these two-line configurations are (for almost all disorder configurations) distinct implying that the true two-line ground-state is non-separable, even with 'worst-possible' initial conditions. The effective interaction energy between the two lines scales with the system size with the scaling exponents 0.39 and 0.21 in 2D and 3D, respectively.
Cite
@article{arxiv.cond-mat/0004149,
title = {Ground-States of Two Directed Polymers},
author = {V. T. Petaja and M. J. Alava and H. Rieger},
journal= {arXiv preprint arXiv:cond-mat/0004149},
year = {2009}
}
Comments
19 pages RevTeX, figures included