Marginal scaling scenario and analytic results for a glassy compaction model

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.

4 pages, 4 figures

Cited by in corpus (8)

• The Glassy Wormlike Chain
• Jamming as a critical phenomenon: a field theory of zero-temperature grain packings
• Boundary lubrication with a glassy interface
• Spatially heterogeneous dynamics in granular compaction
• A minimal model for kinetic arrest
• Fluctuation-dissipation relation and the Edwards entropy for a glassy granular compaction model
• Glassy dynamics and hysteresis in a linear system of orientable hard rods
• Slow relaxation due to optimization and restructuring: Solution on a hierarchical lattice