Glassiness in a model without energy barriers

Abstract

We propose a microscopic model without energy barriers in order to explain some generic features observed in structural glasses. The statics can be exactly solved while the dynamics has been clarified using Monte Carlo calculations. Although the model has no thermodynamic transition it captures some of the essential features of real glasses, i.e., extremely slow relaxation, time dependent hysteresis effects, anomalous increase of the relaxation time and aging. This suggests that the effect of entropy barriers can be an important ingredient to account for the behavior observed in real glasses.

11 Pages + 3 Figures, Revtex, uufiles have been replaced since figure 2 was corrupted in the previous submission

References in corpus (5)

• Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
• Aging on Parisi's tree
• Replica Field Theory for Deterministic Models: Binary Sequences with Low Autocorrelation
• Self Induced Quenched Disorder: A Model for the Glass Transition
• On Toy Aging

Cited by in corpus (94)

• Glassy dynamics of kinetically constrained models
• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Models of traps and glass phenomenology
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• The entropy of network ensembles
• Jamming transition in a homogeneous one-dimensional system: the Bus Route Model
• Computer Simulations of Supercooled Liquids and Glasses
• Localization of maximal entropy random walk
• Glassy timescale divergence and anomalous coarsening in a kinetically constrained spin chain
• Canonical Analysis of Condensation in Factorised Steady State
• Glassy dynamics and aging in an exactly solvable spin model
• Condensation in the Backgammon model
• Phase Separation and Coarsening in One-Dimensional Driven Diffusive Systems: Local Dynaimcs Leading to Long-Range Hamiltonians
• Ehrenfest relations at the glass transition: solution to an old paradox
• Temperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses
• Glassiness and constrained dynamics of a short-range non-disordered spin model
• Nonequilibrium Phase Transition in a Model of Diffusion, Aggregation and Fragmentation
• Toy model for the mean-field theory of hard-sphere liquids
• Exact Solution for the Time Evolution of Network Rewiring Models
• A simple stochastic model for the dynamics of condensation
• Simple strong glass forming models: mean-field solution with activation
• Nonequilibrium dynamics of urn models
• Inherent structures and non-equilibrium dynamics of 1D constrained kinetic models: a comparison study
• Exact Solutions for Network Rewiring Models
• Aging classification in glassy dynamics
• A statistical mechanics approach for scale-free networks and finite-scale networks
• Relaxation in graph coloring and satisfiability problems
• From urn models to zero-range processes: statics and dynamics
• Condensation in stochastic mass transport models: beyond the zero-range process
• Fragile-glass behavior of a short range $p$-spin model
• Aging in the Linear Harmonic Oscillator
• DYNAMICAL SOLUTION OF A MODEL WITHOUT ENERGY BARRIERS
• Statistical Mechanics of maximal independent sets
• Record Dynamics: Direct Experimental Evidence from Jammed Colloids
• Jamming Model for the Extremal Optimization Heuristic
• Condensation in zero-range processes on inhomogeneous networks
• Thermodynamic description of a dynamical glassy transition
• Aging effects in free quantum Brownian motion
• Emergent facilitation behavior in a distinguishable-particle lattice model of glass
• Evidence of a Critical time in Constrained Kinetic Ising models
• Glassy Mean-Field Dynamics of the Backgammon model
• Energy landscape, two-level systems and entropy barriers in Lennard-Jones clusters
• Relaxation processes and entropic traps in the Backgammon model
• Glassy behaviour in a simple topological model
• A Hierarchical Model of Slow Constrained Dynamics
• Directed polymer in random media, in two dimensions: numerical study of the aging dynamics
• Correlation and response in the Backgammon model: the Ehrenfest legacy
• Anomalous coarsening and glassy dynamics
• An exactly solvable toy model that mimics the mode coupling theory of supercooled liquid and glass transition
• Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model
• Random Field and Random Anisotropy Effects in Defect-Free Three-Dimensional XY Models
• Nonequilibrium dynamics of a simple stochastic model
• Optimizing at the Ergodic Edge
• Finite Size Fluctuations in Interacting Particle Systems
• Coarsening of Sand Ripples in Mass Transfer Models with Extinction
• The disordered Backgammon model
• Scaling properties in off equilibrium dynamical processes
• Poincaré cycle of a multibox Ehrenfest urn model with directed transport
• Universal dependence of the fluctuation-dissipation ratio on the transition rates in trap models
• Slow Relaxation in a Constrained Ising Spin Chain: a Toy Model for Granular Compaction
• Aggregation with constant kernel under stochastic resetting
• On the Use of Optimized Monte Carlo Methods for Studying Spin Glasses
• Replica analysis of a preferential urn model
• Relaxation at late stages in an entropy barrier model for glassy systems
• Nonequilibrium fluctuations in small systems: From physics to biology
• Record Dynamics in the Parking Lot Model
• Is the Stillinger and Weber decomposition relevant for coarsening models?
• Condensation phenomena with distinguishable particles
• Slow relaxation due to optimization and restructuring: Solution on a hierarchical lattice
• Entropic aging and extreme value statistics
• How rare are diffusive rare events?
• Zero-range process with finite compartments: Gentile's statistics and glassiness
• Re-equilibration after quenches in athermal martensites:Conversion-delays for vapour to liquid domain-wall phases
• Damage spreading transition in glasses: a probe for the ruggedness of the configurational landscape
• Scale-free dynamics emerging from information transfer
• Negative fluctuation-dissipation ratios in the backgammon model
• Bringing together two paradigms of non-equilibrium: Fragile versus robust aging in driven glassy systems
• Langevin dynamics of the Lebowitz-Percus model
• Statistical Mechanics of a Two-Dimensional System with Long Range Interaction
• Replica symmetry breaking in spin glasses in the replica-free Keldysh formalism
• Monte Carlo simulations of vector pseudospins for strains: Microstructures, and martensitic conversion times
• Modified stochastic fragmentation of an interval as an ageing process
• Free energy of disordered urn models in the canonical ensemble
• Slow dynamics due to entropic barriers in the one-dimensional `descent model'
• Nucleation model for the description of glass formation
• Entropic sampling dynamics of the globally-coupled kinetic Ising model
• Sticky Spheres, Entropy barriers and Non-equilibrium phase transitions
• Simply generated trees, conditioned Galton--Watson trees, random allocations and condensation
• Yang-Lee zeros for real-space condensation
• Partition Function Zeros of Paths and Normalization Zeros of ASEPS
• Non-equilibrium Monte Carlo dynamics of the Sherrington-Kirkpatrick mean field spin glass model
• Ubiquitous Dynamical Time Asymmetry in Measurements on Materials and Biological Systems
• Golf-course and funnel energy landscapes: Protein folding concepts in martensites
• Bounding spectral gaps of Markov chains: a novel exact multi-decomposition technique