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arXiv · 1310.8273

Jamming Percolation in Three Dimensions

Antina Ghosh·Eial Teomy·Yair Shokef
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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.

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Antina Ghosh, Eial Teomy, Yair Shokef. 2014-01-26. Jamming Percolation in Three Dimensions. https://doi.org/10.1209/0295-5075%2F106%2F16003

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