Cristina Toninelli, Giulio Biroli, Daniel S. Fisher
Published 2005-09-26, updated 2005-12-01Version 2
A new class of lattice gas models with trivial interactions but constrained dynamics are introduced. These are proven to exhibit a dynamical glass transition: above a critical density, rho_c, ergodicity is broken due to the appearance of an infinite spanning cluster of jammed particles. The fraction of jammed particles is discontinuous at the transition, while in the unjammed phase dynamical correlation lengths and timescales diverge as exp[C(rho_c-rho)^(-mu)]. Dynamic correlations display two-step relaxation similar to glass-formers and jamming systems.
Comments: 4 pages, 2 figs. Final version accepted for publication in Phys. Rev. Lett
Note: Shoving model and the glass transition in one-component plasma
Diffusion and rheology in a model of glassy materials
Lattice models for ballistic aggregation in one-dimension
