Effective Trap-like Activated Dynamics in a Continuous Landscape
Disordered Systems and Neural Networks
2020-05-13 v2 Soft Condensed Matter
Statistical Mechanics
Abstract
We use a simple model to extend network models for activated dynamics to a continuous landscape with a well-defined notion of distance and a direct connection to many-body systems. The model consists of a tracer in a high-dimensional funnel landscape with no disorder. We find a non-equilibrium low-temperature phase with aging dynamics, that is effectively equivalent to that of models with built-in disorder, such as Trap Model, Step Model and REM.
Cite
@article{arxiv.2001.02567,
title = {Effective Trap-like Activated Dynamics in a Continuous Landscape},
author = {Matthew R. Carbone and Valerio Astuti and Marco Baity-Jesi},
journal= {arXiv preprint arXiv:2001.02567},
year = {2020}
}
Comments
11 pages, 7 figures