Jamming as a Multicritical Point

Abstract

The discontinuous jump in the bulk modulus $B$ at the jamming transition is a consequence of the formation of a critical contact network of spheres that resists compression. We introduce lattice models with underlying under-coordinated compression resistant spring lattices to which next-nearest-neighbor springs can be added. In these models, the jamming transition emerges as a kind of multicritical point terminating a line of rigidity-percolation transitions. Replacing the under-coordinated lattices with the critical network at jamming yields a faithful description of jamming and its relation to rigidity percolation.

Main text: 5 pages, 3 figures; SI text: 10 pages, 9 figures

References in corpus (3)

• Rigidity Loss in Disordered Systems: Three Scenarios
• Elasticity of Filamentous Kagome Lattice
• Dynamical behavior of disordered spring networks

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• Universal scaling for disordered viscoelastic matter near the onset of rigidity
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• Control of connectivity and rigidity in prismatic assemblies
• Hard-needle elastomer in one spatial dimension
• Universal Jamming Criticality and Self-Organizing Principles from Disorder to the Limit of Perfect Crystalline Order