The onset of jamming as the sudden emergence of an infinite k-core cluster

Jennifer M Schwarz, A. J. Liu, L. Q. Chayes

Research output: Contribution to journalArticle

97 Citations (Scopus)

Abstract

A theory is constructed to describe the zero-temperature jamming transition of repulsive soft spheres as the density is increased. Local mechanical stability imposes a constraint on the minimum number of bonds per particle; we argue that this constraint suggests an analogy to k-core percolation. The latter model can be solved exactly on the Bethe lattice, and the resulting transition has a mixed first-order/continuous character reminiscent of the jamming transition. In particular, the exponents characterizing the continuous parts of both transitions appear to be the same. Finally, numerical simulations suggest that in finite dimensions the k-core transition can be discontinuous with a nontrivial diverging correlation length.

Original languageEnglish (US)
Pages (from-to)560-566
Number of pages7
JournalEPL
Volume73
Issue number4
DOIs
StatePublished - Feb 15 2006
Externally publishedYes

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jamming
exponents
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  • Physics and Astronomy(all)

Cite this

The onset of jamming as the sudden emergence of an infinite k-core cluster. / Schwarz, Jennifer M; Liu, A. J.; Chayes, L. Q.

In: EPL, Vol. 73, No. 4, 15.02.2006, p. 560-566.

Research output: Contribution to journalArticle

Schwarz, Jennifer M ; Liu, A. J. ; Chayes, L. Q. / The onset of jamming as the sudden emergence of an infinite k-core cluster. In: EPL. 2006 ; Vol. 73, No. 4. pp. 560-566.
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