Work

Jamming percolation in three dimensions

Year: 2014
Type: article
Abstract: 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.
Institution: Tel Aviv University
Language: English
Open Access status: green
OpenAlex ID: W2019677170
FWCI: 1.069
Cites: 42
Cited by: 12
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