Replica symmetry breaking in trajectory space for diffusion in logarithmically correlated random potentials
Statistical Mechanics
2018-05-17 v2 Disordered Systems and Neural Networks
Abstract
We study the dynamics of a particle in a one-dimensional Gaussian random potential with logarithmic correlations. It was shown in previous studies that the model exhibits a dynamical transition between two subdiffusive phases. We numerically investigate both phases by focusing on overlap between trajectories of two independent particles in a common random potential, and show that replica symmetry breaking in trajectory space occurs in the low-temperature phase.
Cite
@article{arxiv.1801.03224,
title = {Replica symmetry breaking in trajectory space for diffusion in logarithmically correlated random potentials},
author = {Masahiko Ueda},
journal= {arXiv preprint arXiv:1801.03224},
year = {2018}
}
Comments
9 pages, 7 figures