Free-volume kinetic models of granular matter

Abstract

We show that the main dynamical features of granular media can be understood by means of simple models of fragile-glass forming liquid provided that gravity alone is taken into account. In such lattice-gas models of cohesionless and frictionless particles, the compaction and segregation phenomena appear as purely non-equilibrium effects unrelated to the Boltzmann-Gibbs measure which in this case is trivial. They provide a natural framework in which slow relaxation phenomena in granular and glassy systems can be explained in terms of a common microscopic mechanism given by a free-volume kinetic constraint.

4 pages, 6 figures

References in corpus (2)

• Simple model with facilitated dynamics for granular compaction
• Response properties in a model for granular matter

Cited by in corpus (22)

• Glassy dynamics of kinetically constrained models
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Spatial structures and dynamics of kinetically constrained models for glasses
• Edwards' measures: a thermodynamic construction for dense granular media and glasses
• Glassy systems under time-dependent driving forces: application to slow granular rheology
• Cooperative Behavior of Kinetically Constrained Lattice Gas Models of Glassy Dynamics
• Kob-Andersen model: a non-standard mechanism for the glassy transition
• Slow dynamics under gravity: a nonlinear diffusion model
• What is the temperature of a granular medium?
• Aging dynamics and density relaxation in granular compaction
• Fluctuation-Dissipation Ratio for Compacting Granular Media
• Effect of friction in a toy model of granular compaction
• Driving kinetically constrained models into non-equilibrium steady states: structural and slow transport properties
• Microscopic models of mode-coupling theory: the $F_{12}$ scenario
• Insights from Single-File Diffusion into Cooperativity in Higher Dimensions
• Analytical Calculation of Four-Point Correlations for a Simple Model of Cages Involving Numerous Particles
• Effective temperature of an aging powder
• A microscopic 2D lattice model of dimer granular compaction with friction
• Effective temperature and compactivity of a lattice-gas under gravity
• Zero-range process with finite compartments: Gentile's statistics and glassiness
• Kinetically constrained model for gravity-driven granular flow and clogging
• Constraint relaxation leads to jamming