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Condensed Matter > Soft Condensed Matter

Title: Aging is a (log-)Poisson Process, not a Renewal Process

Authors: Stefan Boettcher, Dominic M. Robe (Emory U), Paolo Sibani (Syddansk U)
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.
Comments: RevTex, 5 pages plus 3-page supplement, for related information, see this http URL
Subjects: Soft Condensed Matter (cond-mat.soft); Disordered Systems and Neural Networks (cond-mat.dis-nn); Materials Science (cond-mat.mtrl-sci)
Cite as: arXiv:1803.06580 [cond-mat.soft]
  (or arXiv:1803.06580v1 [cond-mat.soft] for this version)

Submission history

From: Stefan Boettcher [view email]
[v1] Sat, 17 Mar 2018 22:00:48 GMT (893kb,D)