Jamming versus caging in three dimensional jamming percolation. (24th May 2016)

• Record Type: Journal Article
• Authors: Segall, Nimrod; Teomy, Eial; Shokef, Yair
• Is Part Of: Journal of statistical mechanics. (2016:May)
• Publication Date: 2016-05-24
• Subjects: Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2016/05/054051
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We investigate a three-dimensional kinetically-constrained model that exhibits two types of phase transitions at different densities. At the jamming density ρ 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 ρ C > ρ 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.