PMID: 11909479Mar 23, 2002Paper

Marginal scaling scenario and analytic results for a glassy compaction model

Physical Review Letters
Robin Stinchcombe, Martin Depken

Abstract

A diffusion-deposition model for glassy dynamics in compacting granular systems is treated by time scaling and by a method that provides the exact asymptotic (long-time) behavior. The results include Vogel-Fulcher dependence of rates on density, inverse logarithmic time decay of densities, exponential distribution of decay times, and broadening of noise spectrum. These are all in broad agreement with experiments. The main characteristics result from a marginal rescaling in time of the control parameter (density); this is argued to be generic for glassy systems.

References

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May 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J B KnightS R Nagel
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Citations

Dec 14, 2007·Proceedings of the National Academy of Sciences of the United States of America·Christine SemmrichKlaus Kroy
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anaël Lemaître, Jean Carlson
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L ChenP G Kevrekidis
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F D A Aarão Reis, R B Stinchcombe
Dec 31, 2005·Physical Review Letters·Silke Henkes, Bulbul Chakraborty
Sep 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P PalR Stinchcombe
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jeferson J ArenzonRonald Dickman
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Martin Depken, Robin Stinchcombe
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexandre LefèvreRobin Stinchcombe
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·János TörökStéphane Roux

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