Glass glass transition and new dynamical singularity points in an analytically solvable p-spin glass like model

Abstract

We introduce and analytically study a generalized p-spin glass like model that captures some of the main features of attractive glasses, recently found by Mode Coupling investigations, such as a glass/glass transition line and dynamical singularity points characterized by a logarithmic time dependence of the relaxation. The model also displays features not predicted by the Mode Coupling scenario that could further describe the attractive glasses behavior, such as aging effects with new dynamical singularity points ruled by logarithmic laws or the presence of a glass spinodal line.

References in corpus (14)

• Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
• Higher order glass-transition singularities in colloidal systems with attractive interactions
• Reentrant glass transition in a colloid-polymer mixture with depletion attractions
• Logarithmic Relaxation in Glass-Forming Systems
• Mechanical Properties of a Model of Attractive Colloidal Solutions
• Large times off-equilibrium dynamics of a particle in a random potential
• Exactly solvable model of a quantum spin glass
• Equilibrium properties of the Ising frustrated lattice gas
• The Blume-Emery-Griffiths Spin Glass Model
• Higher-order glass-transition singularities in systems with short-ranged attractive potentials
• Different Scenarios for Critical Glassy Dynamics
• Critical Decay at Higher-Order Glass-Transition Singularities
• Dynamics and thermodynamics of the spherical frustrated Blume-Emery-Griffiths model
• Phase coexistence and relaxation of the spherical frustrated Blume-Emery-Griffiths model with attractive particles coupling

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• The spherical 2+p spin glass model: an analytically solvable model with a glass-to-glass transition
• Amorphous-amorphous transition and the two-step replica symmetry breaking phase
• A thermodynamic description of colloidal glasses
• Dynamic heterogeneities in attractive colloids
• Inverse Freezing in Mean-Field Models of Fragile Glasses
• Spin-Glass Model for Inverse Freezing
• Comment on ``Spherical 2 + p spin-glass model: An analytically solvable model with a glass-to-glass transition''
• Disconnected glass-glass transitions and swallowtail bifurcations in microscopic spin models with facilitated dynamics
• Functional renormalization group for multilinear disordered Langevin dynamics I: Formalism and first numerical investigations at equilibrium
• Functional renormalization group for multilinear disordered Langevin dynamics II: Revisiting the $p=2$ spin dynamics for Wigner and Wishart ensembles
• Random, thermodynamic and inverse first order transitions in the Blume-Capel spin-glass
• Packing hard spheres with short-range attraction in infinite dimension: Phase structure and algorithmic implications