Jamming vs. Caging in Three Dimensional Jamming Percolation
  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. 
Nimrod Segall, Eial Teomy and Yair Shokef
cond-mat.stat-mech cond-mat.soft