Glassiness and constrained dynamics of a short-range non-disordered spin model

Abstract

We study the low temperature dynamics of a two dimensional short-range spin system with uniform ferromagnetic interactions, which displays glassiness at low temperatures despite the absence of disorder or frustration. The model has a dual description in terms of free defects subject to dynamical constraints, and is an explicit realization of the ``hierarchically constrained dynamics'' scenario for glassy systems. We give a number of exact results for the statics of the model, and study in detail the dynamical behaviour of one-time and two-time quantities. We also consider the role played by the configurational entropy, which can be computed exactly, in the relation between fluctuations and response.

10 pages, 9 figures; minor changes, references added

References in corpus (6)

• Absence of Thermodynamic Phase Transition in a Model Glass Former
• Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain
• Fluctuation dissipation ratio in the one dimensional kinetic Ising model
• Off-Equilibrium Effective Temperature in Monatomic Lennard-Jones Glass
• From inherent structures to pure states: some simple remarks and examples
• Slow dynamics of Ising models with energy barriers

Cited by in corpus (64)

• Glassy dynamics of kinetically constrained models
• Dynamics on the Way to Forming Glass: Bubbles in Space-time
• Fractons
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment
• Fracton Phases of Matter
• Exotic topological order in fractal spin liquids
• Quantum memories at finite temperature
• Glassy quantum dynamics in translation invariant fracton models
• A ferromagnet with a glass transition
• Real space origin of temperature crossovers in supercooled liquids
• Quantum Slow Relaxation and Metastability due to Dynamical Constraints
• Topological Quantum Glassiness
• Fractal Symmetric Phases of Matter
• Hyperbolic Fracton Model, Subsystem Symmetry, and Holography
• Quantum East model: localization, non-thermal eigenstates and slow dynamics
• Caging and mosaic lengthscales in plaquette spin models of glasses
• Glassiness through the emergence of effective dynamical constraints in interacting systems
• Glassy dynamics in the East model
• Simple strong glass forming models: mean-field solution with activation
• Phase transition for quenched coupled replicas in a plaquette spin model of glasses
• Activated aging dynamics and negative fluctuation-dissipation ratios
• Fluctuation-dissipation relations in the activated regime of simple strong-glass models
• Overlap and activity glass transitions in plaquette spin models with hierarchical dynamics
• Crossover from Fragile to Strong Glassy Behaviour in Kinetically Constrained Systems
• The melting of stable glasses is governed by nucleation-and-growth dynamics
• Non-equilibrium dynamics of spin facilitated glass models
• Trajectory phase transitions in non-interacting spin systems
• Glassy effects in the swelling/collapse dynamics of homogeneous polymers
• Transition in coupled replicas may not imply a finite temperature ideal glass transition in glass forming systems
• Aging in One-Dimensional Coagulation-Diffusion Processes and the Fredrickson-Andersen Model
• Entropic Barriers for Two-Dimensional Quantum Memories
• Glassy dynamics in granular compaction: sand on random graphs
• Anomalous coarsening and glassy dynamics
• Fractal Quantum Phase Transitions: Critical Phenomena Beyond Renormalization
• Fluctuation-dissipation relations in plaquette spin systems with multi-stage relaxation
• Fractonic plaquette-dimer liquid beyond renormalization
• Aging through hierarchical coalescence in the East model
• Towards Non-Invertible Anomalies from Generalized Ising Models
• Evidence against a glass transition in the 10-state short range Potts glass
• A cellular automaton decoder for a noise-bias tailored color code
• Role of fluctuations in the phase transitions of coupled plaquette spin models of glasses
• Aging and intermittency in a p-spin model of a glass
• Slow dynamics and aging in a non-randomly frustrated spin system
• Pascal's Triangle Fractal Symmetries
• Beyond the Freshman's Dream: Classical fractal spin liquids from matrix cellular automata in three-dimensional lattice models
• Thermodynamic transition associated with irregularly ordered ground states in a lattice gas model
• Fracton excitations in classical frustrated kagome spin models
• Dynamical Facilitation Governs the Equilibration Dynamics of Glasses
• Boundary conditions dependence of the phase transition in the quantum Newman-Moore model
• Finite-size critical fluctuations in microscopic models of mode-coupling theory
• Glassy behaviour in an exactly solved spin system with a ferromagnetic transition
• Quantum Vertex Model for Reversible Classical Computing
• Fluctuation-dissipation relations and energy landscape in an out-of-equilibrium strong glass-forming liquid
• Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet
• Statistical mechanics of glass transition in lattice molecule models
• The Random-Diluted Triangular Plaquette Model: study of phase transitions in a Kinetically Constrained Model
• A Theorem on Extensive Spectral Degeneracy for Systems with Higher Symmetries in General Dimensions
• Nonlinear dielectric response in glasses: restoring forces and avoided spin-glass criticality
• Rejection-free quantum Monte Carlo in continuous time from transition path sampling
• Plaquette Models, Cellular Automata, and Measurement-induced Criticality
• Proposal of a Checking Parameter in the Simulated Annealing Method Applied to the Spin Glass Model
• Emergent criticality in a constrained boson model
• Ultra-slow dynamics in a translationally invariant spin model for multiplication and factorization