A Lattice Model for Colloidal Gels and Glasses

Abstract

We study a lattice model of attractive colloids. It is exactly solvable on sparse random graphs. As the pressure and temperature are varied it reproduces many characteristic phenomena of liquids, glasses and colloidal systems such as ideal gel formation, liquid-glass phase coexistence, jamming, or the reentrance of the glass transition.

4 pages, 4 figures

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Cited by in corpus (23)

• Mean field theory of hard sphere glasses and jamming
• Jamming versus Glass Transitions
• Adhesive Loose Packings of Small Particles
• Equilibrium gels of limited valence colloids
• Quiet Planting in the Locked Constraint Satisfaction Problems
• Statistical Mechanics of maximal independent sets
• A thermodynamic description of colloidal glasses
• Jammed lattice sphere packings
• The quantum Biroli-Mézard model: glass transition and superfluidity in a quantum lattice glass model
• Using patchy particles to prevent local rearrangements in models of non-equilibrium colloidal gels
• Ferromagnetism-induced Phase Separation in a Two-dimensional Spin Fluid
• Thermodynamic Construction of an One-Step Replica-Symmetry-Breaking Solution in Finite Connectivity Spin Glasses
• Pure Glass in Finite Dimensions
• Optimal Location of Sources in Transportation Networks
• The distinguishable-particle lattice model of glasses in three dimensions
• Solution of Disordered Microphases in the Bethe approximation
• Statistical mechanics of glass transition in lattice molecule models
• Packing hard spheres with short-range attraction in infinite dimension: Phase structure and algorithmic implications
• A List Referring Monte Carlo Method for Lattice Glass Models
• A discrete model of water with two distinct glassy phases
• Lattice Model of Glasses
• Jamming in Hierarchical Networks
• Critical behavior and out-of-equilibrium dynamics of a two-dimensional Ising model with dynamic couplings