Critical Scaling and Aging in Cooling Systems Near the Jamming Transition

2009/04/01 by D. A. Head, David Head · 4 citations
Engineering · Environmental Science · Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #Wind and Air Flow Studies #cond-mat.soft

paper · pdf · doi:10.1103/physrevlett.102.138001

published as Phys. Rev. Lett. 102, 138001 (2009) · 5 pages, 5 figures

arxiv created 2009/04/01 · openalex publication_date 2009/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We conduct athermal simulations of freely cooling, viscous soft spheres around the jamming transition density \ensuremathφ_J and find evidence for a growing length \ensuremathξ(t) that governs relaxation to mechanical equilibrium. \ensuremathξ(t) is manifest in both the velocity correlation function and the spatial correlations in a scalar measure of local force balance which we define. Data for different densities \ensuremathφ can be collapsed onto two master curves by scaling \ensuremathξ(t) and t by powers of |\ensuremathφ\ensuremath-\ensuremathφ_J|, indicative of critical scaling. Furthermore, particle transport for \ensuremathφ>\ensuremathφ_J exhibits aging and superdiffusion similar to a range of soft matter experiments, suggesting a common origin. Finally, we explain how \ensuremathξ(t) at late times maps onto known behavior away from \ensuremathφ_J.

Citations

• Ordering Phenomena in Cooling Granular Mixtures
• Jamming at zero temperature and zero applied stress: The epitome of disorder

Cited by

• Jamming in granular polymers
• Jammed disks in a narrow channel: criticality and ordering tendencies
• Jammed disks of two sizes and weights in a channel: Alternating sequences
• Casimir effect between pinned particles in two-dimensional jammed systems

Related

• Dependence of the glass transition and jamming densities on spatial dimension
• Critical slowing down in thermal soft-sphere glasses via energy minimization
• Scaling theory for the jamming transition
• The first jamming crossover: geometric and mechanical features
• Athermal jamming versus thermalized glassiness in sheared frictionless particles