Jamming as a Multicritical Point

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-neighbo...

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Bibliographic Details
Published in:Physical review letters Vol. 122; no. 12; p. 128006
Main Authors: Liarte, Danilo B, Mao, Xiaoming, Stenull, Olaf, Lubensky, T C
Format: Journal Article
Language:English
Published: United States American Physical Society 29-03-2019
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Summary: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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ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.122.128006