Inverse Freezing in Mean-Field Models of Fragile Glasses

Abstract

A disordered spin model suitable for studying inverse freezing in fragile glass-forming systems is introduced. The model is a microscopic realization of the ``random-first order'' scenario in which the glass transition can be either continuous or discontinuous in thermodynamic sense. The phase diagram exhibits a first-order transition line between two fluid phases terminating at a critical point. When the interacting degrees of freedom are entropically favoured an inverse static glass transition and a double inverse dynamic freezing appear.

arXiv comment4 pages, 4 figures

References in corpus (26)

• Higher order glass-transition singularities in colloidal systems with attractive interactions
• Reentrant glass transition in a colloid-polymer mixture with depletion attractions
• Comparative simulation study of colloidal gels and glasses
• Replica Field Theory for Deterministic Models (II): A Non-Random Spin Glass with Glassy Behavior
• Replica Field Theory for Deterministic Models: Binary Sequences with Low Autocorrelation
• Evidence of a higher-order singularity in dense short-ranged attractive colloids
• Self Induced Quenched Disorder: A Model for the Glass Transition
• Inverse melting and inverse freezing: a spin model
• The spherical 2+p spin glass model: an analytically solvable model with a glass-to-glass transition
• The Quantum Spherical p-Spin-Glass Model
• The spherical $2+p$ spin glass model: an exactly solvable model for glass to spin-glass transition
• Spin Model for Inverse Melting and Inverse Glass Transition
• Stable Solution of the Simplest Spin Model for Inverse Freezing
• Quantum phase transition in spin glasses with multi-spin interactions
• From second to first order transitions in a disordered quantum magnet
• Equilibrium properties of the Ising frustrated lattice gas
• The Blume-Emery-Griffiths Spin Glass Model
• Thermodynamic Properties and Phase Transitions in a Mean-Field Ising Spin Glass on Lattice Gas: the Random Blume-Emery-Griffiths-Capel Model
• The role of the interaction matrix in mean-field spin glasses
• Aging without disorder on long time scales
• Glass glass transition and new dynamical singularity points in an analytically solvable p-spin glass like model
• Frustrated Blume-Emery-Griffiths model
• Replica symmetry breaking solution for the fermionic Ising spin glass and the Ghatak-Sherrington model
• On exact mappings between fermionic Ising spin glass and classical spin glass models
• Quantum critical effects in mean-field glassy systems
• Frequency-domain study of relaxation in a spin glass model for the structural glass transition

Cited by in corpus (14)

• Asymmetric exclusion processes with constrained dynamics
• Thermodynamic first order transition and inverse freezing in a 3D spin-glass
• The random Blume-Capel model on cubic lattice: first order inverse freezing in a 3D spin-glass system
• Role of the transverse field in inverse freezing in the fermionic Ising spin-glass model
• Phase diagram of a solution undergoing inverse melting
• Tricriticality and Reentrance in a Naive Spin-Glass Model
• Inverse freezing in the Hopfield Fermionic Ising Spin Glass
• Modulated phases in external fields: when is reentrant behavior to be expected?
• Inverse transition in the dipolar frustrated Ising ferromagnet: the role of domain walls
• Random, thermodynamic and inverse first order transitions in the Blume-Capel spin-glass
• Inverse transitions and disappearance of the λ-line in the asymmetric random field Ising and Blume-Capel models
• Quantum fluctuations inhibit symmetry breaking in the HMF model
• Dynamical arrest with zero complexity: the unusual behavior of the spherical Blume Emery Griffiths disordered model
• Lattice Model of Glasses