Self Induced Quenched Disorder: A Model for the Glass Transition

Abstract

We consider a simple spin system without disorder which exhibits a glassy regime. We show that this model can be well approximated by a system with quenched disorder which is studied with the standard methods developped in spin glasses. We propose that the glass transition is a point where quenched disorder is self induced, a scenario for which the `cavity' method might be particularly well suited.

Latex, LPTENS 94/14, three figures upon request

Cited by in corpus (65)

• Models of traps and glass phenomenology
• Langevin Equation for the Density of a System of Interacting Langevin Processes
• The structural glass transition and the entropy of the metastable states
• Thermodynamics of glasses: a first principle computation
• Mode-Coupling Approximations, Glass Theory and Disordered Systems
• Glassiness in a model without energy barriers
• Glassy timescale divergence and anomalous coarsening in a kinetically constrained spin chain
• Jamming Percolation and Glass Transitions in Lattice Models
• A ferromagnet with a glass transition
• Field Theory of Fluctuations in Glasses
• A tentative Replica Study of the Glass Transition
• Mean-Field Equations for Spin Models with Orthogonal Interaction Matrices
• Statistical Physics of Structural Glasses
• Effective potential in glassy systems: theory and simulations
• Mode-coupling theory for the slow collective dynamics of fluids adsorbed in disordered porous media
• Exhaustive search for low autocorrelation binary sequences
• How to compute the thermodynamics of a glass using a cloned liquid
• Matrix models as solvable glass models
• Glassy Solutions of the Kardar-Pasrisi-Zhang Equation
• Electro-Magnetic Earthquake Bursts and Critical Rupture of Peroxy Bond Networks in Rocks
• Low Autocorrelation Binary Sequences
• Glass Formation in a Periodic Long-Range Josephson Array
• Fragile-glass behavior of a short range $p$-spin model
• DYNAMICAL SOLUTION OF A MODEL WITHOUT ENERGY BARRIERS
• From frustration to glassiness via quantum fluctuations and random tiling with exotic entropy
• The jamming transition in high dimension: an analytical study of the TAP equations and the effective thermodynamic potential
• Classical Glasses, Black Holes, and Strange Quantum Liquids
• Statistical Physics of the Glass Phase
• Landscape statistics of the low autocorrelated binary string problem
• Evidence of a Critical time in Constrained Kinetic Ising models
• The Fully Frustrated Hypercubic Model is Glassy and Aging at Large $D$
• Inverse Freezing in Mean-Field Models of Fragile Glasses
• Predictive power of MCT: Numerics and Finite size scaling for a mean field spin glass
• Statistical physics of nonlinear wave interaction
• On the ground states of the Bernasconi model
• Long time limit of equilibrium glassy dynamics and replica calculation
• Anomalous coarsening and glassy dynamics
• Free Energy Landscape Of Simple Liquids Near The Glass Transition
• Disorder-free spin glass transitions and jamming in exactly solvable mean-field models
• Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model
• Dynamical transition for a particle in a squared Gaussian potential
• A Non-Disordered Glassy Model with a Tunable Interaction Range
• Replica Theory and Large D Josephson Junction Hypercubic Models
• Metastable States in High Order Short-Range Spin Glasses
• Dynamics of the frustrated Ising lattice gas
• Random-field p-spin glass model on regular random graphs
• Slowed Relaxational Dynamics Beyond the Fluctuation-Dissipation Theorem
• Fragile-to-Strong Crossover, growing length scales, and dynamic heterogeneity in Wigner Glasses
• Self-induced glassy phase in multimodal cavity quantum electrodynamics
• On Lattice Gas Models For Disordered Systems
• Deterministic spin models with a glassy phase transition
• Langevin dynamics of the Lebowitz-Percus model
• Ground states for a class of deterministic spin models with glassy behaviour
• Glassy Dynamics in a Frustrated Spin System: Role of Defects
• Mean-field glass transition in a model liquid
• Improved mean-field dynamical equations are able to detect the two-steps relaxation in glassy dynamics at low temperatures
• Dipole diffusion in a random electrical potential
• Quantum Annealing with chaotic driver Hamiltonians
• An Experimentally Realizable Weiss Model for Disorder-Free Glassiness
• Lattice Gas Analogue Of SK Model: A paradigm for the glass transition
• Distribution of Attraction Basins in a Family of Simple Glasses
• Classical and Quantum Behavior in Mean-Field Glassy Systems
• Jump Events in a 3D Edwards-Anderson Spin Glass
• A Solvable Model of a Glass
• Static self-induced heterogeneity in glass-forming liquids: Overlap as a microscope