Glassy behaviour in an exactly solved spin system with a ferromagnetic transition

Abstract

We show that applying simple dynamical rules to Baxter's eight-vertex model leads to a system which resembles a glass-forming liquid. There are analogies with liquid, supercooled liquid, glassy and crystalline states. The disordered phases exhibit strong dynamical heterogeneity at low temperatures, which may be described in terms of an emergent mobility field. Their dynamics are well-described by a simple model with trivial thermodynamics, but an emergent kinetic constraint. We show that the (second order) thermodynamic transition to the ordered phase may be interpreted in terms of confinement of the excitations in the mobility field. We also describe the aging of disordered states towards the ordered phase, in terms of simple rate equations.

11 pages

References in corpus (19)

• Glassy dynamics of kinetically constrained models
• On the Adam-Gibbs-Wolynes scenario for the viscosity increase in glasses
• Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
• Fragilities of Liquids Predicted from the Random First Order Transition Theory of Glasses
• Thermodynamics of glasses: a first principle computation
• Coarse-grained microscopic model of glass formers
• Dynamic criticality in glass-forming liquids
• Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition
• A ferromagnet with a glass transition
• Real space origin of temperature crossovers in supercooled liquids
• Glassiness and constrained dynamics of a short-range non-disordered spin model
• Mean-Field Theory, Mode-Coupling Theory, and the Onset Temperature in Supercooled Liquids
• Non-topographic description of inherent structure dynamics in glass formers
• Glassiness through the emergence of effective dynamical constraints in interacting systems
• Novel glassy behavior in a ferromagnetic p-spin model
• Fluctuation-dissipation relations in the activated regime of simple strong-glass models
• Glass and polycrystal states in a lattice spin model
• Glassy dynamics, metastability limit and crystal growth in a lattice spin model
• Dynamics of the two-dimensional gonihedric spin model

Cited by in corpus (6)

• Quantum mechanical and information theoretic view on classical glass transitions
• Static and dynamic lengthscales in a simple glassy plaquette model
• Transition in coupled replicas may not imply a finite temperature ideal glass transition in glass forming systems
• Statistical physics of nonlinear wave interaction
• Artificial spin ice and vertex models
• Fluctuation-dissipation relations in plaquette spin systems with multi-stage relaxation