Aging is a log-Poisson Process, not a Renewal Process
Abstract
Aging is a ubiquitous relaxation dynamic in disordered materials. It ensues after a rapid quench from an equilibrium "fluid" state into a non-equilibrium, history-dependent jammed state. We propose a physically motivated description that contrasts sharply with a continuous-time random walk (CTRW) with broadly distributed trapping times commonly used to fit aging data. A renewal process like CTRW proves irreconcilable with the log-Poisson statistic exhibited, for example, by jammed colloids as well as by disordered magnets. A log-Poisson process is characteristic of the intermittent and decelerating dynamics of jammed matter usually activated by record-breaking fluctuations ("quakes"). We show that such a record dynamics (RD) provides a universal model for aging, physically grounded in generic features of free-energy landscapes of disordered systems.
Keywords
Cite
@article{arxiv.1803.06580,
title = {Aging is a log-Poisson Process, not a Renewal Process},
author = {Stefan Boettcher and Dominic M. Robe and Paolo Sibani},
journal= {arXiv preprint arXiv:1803.06580},
year = {2018}
}
Comments
RevTex, 5 pages, removed supplement and added some clarifications. For related information, see http://www.physics.emory.edu/faculty/boettcher/