Replica symmetry breaking in trajectory space for the trap model
Statistical Mechanics
2017-03-14 v3 Disordered Systems and Neural Networks
Abstract
We study the localization in the one-dimensional trap model in terms of statistical mechanics of trajectories. By numerically investigating overlap between trajectories of two particles on a common disordered potential, we find that there is a phase transition in the path ensemble. We characterize the low temperature phase as a replica symmetry breaking phase in trajectory space.
Cite
@article{arxiv.1609.01820,
title = {Replica symmetry breaking in trajectory space for the trap model},
author = {Masahiko Ueda and Shin-ichi Sasa},
journal= {arXiv preprint arXiv:1609.01820},
year = {2017}
}
Comments
15 pages, 10 figures