Jamming Percolation and Glass Transitions in Lattice Models

2005/09/30 by Cristina Toninelli, Giulio Biroli, Daniel S. Fisher · 3 citations
Materials Science · Physics and Astronomy · #Liquid Crystal Research Advancements #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.96.035702

4 pages, 2 figs. Final version accepted for publication in Phys. Rev. Lett

arxiv created 2005/12/01 · openalex publication_date 2006/01/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new class of lattice gas models with trivial interactions but constrained dynamics is introduced. These models are proven to exhibit a dynamical glass transition: above a critical density rhoc 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 time scales diverge as exp[C(rhoc-rho)-mu]. Dynamic correlations display two-step relaxation similar to glass formers and jamming systems.

Citations

• Non-equilibrium critical phenomena and phase transitions into absorbing states
• Dynamical Heterogeneity Close to the Jamming Transition in a Sheared Granular Material
• Glassy dynamics of kinetically constrained models
• Spatially Heterogeneous Dynamics in Supercooled Liquids

Cited by

• Out-of-equilibrium dynamics of the spiral model
• Vacancy diffusion in the triangular-lattice dimer model
• Mixed-order phase transition in a colloidal crystal