Jamming percolation in three dimensions

Antina Ghosh, Eial Teomy, Yair Shokef

Research output: Contribution to journalArticlepeer-review


We introduce a three-dimensional model for jamming and glasses, and prove that the fraction of frozen particles is discontinuous at the directed-percolation critical density. In agreement with the accepted scenario for jamming and glass transitions, this is a mixed-order transition; the discontinuity is accompanied by diverging length- and time-scales. Because one-dimensional directed-percolation paths comprise the backbone of frozen particles, the unfrozen rattlers may use the third dimension to travel between their cages. Thus the dynamics are diffusive on long times even above the critical density for jamming.

Original languageEnglish
Article number16003
JournalEurophysics Letters
Issue number1
StatePublished - Apr 2014


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