Marginal scaling scenario and analytic results for a glassy compaction model

Details Marginal scaling scenario and analytic results for a glassy compaction model Marginal scaling scenario and analytic results for a glassy compaction model

2002-07-31

arxiv.org/abs/cond-mat/0207729v1

Phys. Rev. Lett. 88, 125701 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.88.125701

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.

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