Jamming vs. Caging in Three Dimensional Jamming Percolation

Abstract

We investigate a three-dimensional kinetically-constrained model that exhibits two types of phase transitions at different densities. At the jamming density ${\rho }_J$ there is a mixed-order phase transition in which a finite fraction of the particles become frozen, but the other particles may still diffuse throughout the system. At the caging density ${\rho }_C>{\rho }_J$, the mobile particles are trapped in finite cages and no longer diffuse. The caging transition occurs due to a percolation transition of the unfrozen sites, and we numerically find that it is a continuous transition with the same critical exponents as random percolation.

To appear in JSTAT special issue on structure in glassy and jammed systems

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• Hydrodynamics in kinetically-constrained lattice-gas models
• Percolation in Networks of Liquid Diodes
• Kinetically constrained model for gravity-driven granular flow and clogging
• Constraint relaxation leads to jamming