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Jamming as a Multicritical Point
Danilo B Liarte1, Xiaoming Mao2, Olaf Stenull3
1Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA.
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 undercoordinated 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 undercoordinated lattices with the critical network at jamming yields a faithful description of jamming and its relation to rigidity percolation.
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