Jamming graphs: A local approach to global mechanical rigidity

Lopez, Jorge Y Cao, L Y Schwarz, Jennifer (2013) Jamming graphs: A local approach to global mechanical rigidity. Physical Review E. 062130-1-062130-12. ISSN 2470-0053

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Resumen

We revisit the concept of minimal rigidity as applied to frictionless, repulsive soft sphere packings in two dimensions with the introduction of the jamming graph. Minimal rigidity is a purely combinatorial property encoded via Laman’s theorem in two dimensions. It constrains the global, average coordination number of the graph, for example. However, minimal rigidity does not address the geometry of local mechanical stability. The jamming graph contains both properties of global mechanical stability at the onset of jamming and local mechanical stability. We demonstrate how jamming graphs can be constructed using local moves via the Henneberg construction such that these graphs fall under the jurisdiction of correlated percolation. We then probe how jamming graphs destabilize, or become unjammed, by deleting a bond and computing the resulting rigid cluster distribution. We also study how the system restabilizes with the addition of new contacts and how a jamming graph with extra (redundant) contacts destabilizes. The latter endeavor allows us to probe a disk packing in the rigid phase and uncover a potentially new diverging length scale associated with the random deletion of contacts as compared to the study of cut-out (or frozen-in) subsystems.

Tipo de Elemento:	Artículo
Asunto:	Q Ciencias > QC Physics
Division:	Facultad de Ciencias Exactas y Naturales > Programa de Física > Productividad
Depósito de Usuario:	PhD Jorge Hernán López Melo
Fecha Deposito:	30 Aug 2023 16:20
Ultima Modificación:	30 Aug 2023 16:20
URI:	http://sired.udenar.edu.co/id/eprint/8280

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