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arXiv · 1602.00876

Jamming vs. Caging in Three Dimensional Jamming Percolation

Nimrod Segall·Eial Teomy·Yair Shokef
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Abstract

We investigate a three-dimensional kinetically-constrained model that exhibits two types of phase transitions at different densities. At the jamming density $ \rho_J $ there is a mixed-order phase transition in which a finite fraction of the particles become frozen, but the other particles may still diffuse throughout the system. At the caging density $ \rho_C > \rho_J $, the mobile particles are trapped in finite cages and no longer diffuse. The caging transition occurs due to a percolation transition of the unfrozen sites, and we numerically find that it is a continuous transition with the same critical exponents as random percolation.

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Nimrod Segall, Eial Teomy, Yair Shokef. 2016-02-02. Jamming vs. Caging in Three Dimensional Jamming Percolation. https://doi.org/10.1088/1742-5468/2016/05/054051

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