Aging is a log-Poisson Process, not a Renewal Process
arXiv:1803.06580 · doi:10.1103/PhysRevE.98.020602
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.
arXiv commentRevTex, 5 pages, removed supplement and added some clarifications. For related information, see http://www.physics.emory.edu/faculty/boettcher/
References in corpus (22)
- Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
- The Physics of the Colloidal Glass Transition
- Universal nature of particle displacements close to glass and jamming transitions
- Statistical Aging and Non Ergodicity in the Fluorescence of Single Nanocrystals
- Theory of Aging in Structural Glasses
- On relaxations and aging of various glasses
- Aging, rejuvenation and memory : the example of spin glasses
- Direct visualization of aging in colloidal glasses
- Nonmonotonic Aging and Memory Retention in Disordered Mechanical Systems
- Full Aging in Spin Glasses
- Evolution in complex systems
- Nonmonotonic Aging and Memory in a Frictional Interface
- Intermittent quakes and record dynamics in the thermoremanent magnetization of a spin-glass
- Common mechanism of thermodynamic and mechanical origin for ageing and crystallisation of glasses
- Comparing extremal and thermal Explorations of Energy Landscapes
- Record Dynamics: Direct Experimental Evidence from Jammed Colloids
- Exploring Valleys of Aging Systems: The Spin Glass Case
- Origin of `end of aging' and sub-aging scaling behavior in glassy dynamics
- Aging in Dense Colloids as Diffusion in the Logarithm of Time
- Mesoscopic real space structures in aging spin-glasses: the Edwards-Anderson model
- Coarse-graining complex dynamics: Continuous Time Random Walks vs. Record Dynamics
- Temporal and spatial heterogeneity in aging colloids: a mesoscopic model
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- Non-Local Pearson diffusions
- Two-Time Correlations for Probing the Aging Dynamics of Jammed Colloids
- Record dynamics of evolving metastable systems: theory and applications
- Dynamics of dense hard sphere colloidal systems: a numerical analysis
- Extremal fluctuations driving the relaxation in glassy energy landscapes
- Real-space model for activated processes in rejuvenation and memory behavior of glassy systems
- Spin-glass thermo-remanent magnetization revisited: a numerical and analytical study
- Instability cascades in crumpling mylar sheets follow a log-Poisson statistic