Stable Solution of the Simplest Spin Model for Inverse Freezing

Abstract

We analyze the Blume-Emery-Griffiths model with disordered magnetic interaction that displays the inverse freezing phenomenon. The behavior of this spin-1 model in crystal field is studied throughout the phase diagram and the transition and spinodal lines for the model are computed using the Full Replica Symmetry Breaking Ansatz that always yields a thermodynamically stable phase. We compare the results both with the formulation of the same model in terms of Ising spins on lattice gas, where no reentrance takes place, and with the model with generalized spin variables recently introduced by Schupper and Shnerb [Phys. Rev. Lett. {\bf 93} 037202 (2004)], for which the reentrance is enhanced as the ratio between the degeneracy of full to empty sites increases. The simplest version of all these models, known as the Ghatak-Sherrington model, turns out to hold all the general features characterizing an inverse transition to an amorphous phase, including the right thermodynamic behavior.

4 pages, 4 figures

References in corpus (11)

• Replica Field Theory for Deterministic Models (II): A Non-Random Spin Glass with Glassy Behavior
• A first principle computation of the thermodynamics of glasses
• The thermodynamical liquid-glass transition in a Lennard-Jones binary mixture
• Glassy Transition and Aging in a Model without Disorder
• How to compute the thermodynamics of a glass using a cloned liquid
• Lennard-Jones binary mixture: a thermodynamical approach to glass transition
• Spin Model for Inverse Melting and Inverse Glass Transition
• 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
• First Order Phase Transition and Phase Coexistence in a Spin-Glass Model

Cited by in corpus (28)

• Simplest model to study reentrance in physical systems
• Thermodynamic first order transition and inverse freezing in a 3D spin-glass
• Shear-thickening and entropy-driven reentrance
• The random Blume-Capel model on cubic lattice: first order inverse freezing in a 3D spin-glass system
• Inverse Freezing in Mean-Field Models of Fragile Glasses
• Role of the transverse field in inverse freezing in the fermionic Ising spin-glass model
• Renormalization Group on hierarchical lattices in finite dimensional disordered Ising and Blume-Emery-Griffiths Models
• Phase diagram of a solution undergoing inverse melting
• Spin-Glass Model for Inverse Freezing
• Statistical Field Theory and Effective Action Method for scalar Active Matter
• Inverse freezing in the Ghatak-Sherrington model with a random field
• Tricriticality and Reentrance in a Naive Spin-Glass Model
• On the mechanism behind the inverse melting in systems with competing interactions
• Inverse freezing in the Hopfield Fermionic Ising Spin Glass
• Phase transitions in the three-state Ising spin-glass model with finite connectivity
• The frustrated Ising model on the body-centered cubic lattice
• Inverse transition in the dipolar frustrated Ising ferromagnet: the role of domain walls
• Inverse Transitions in the Ghatak-Sherrington model with Bimodal Random Fields
• Current-induced inverse symmetry breaking and asymmetric critical phenomena at current-driven tricritical point
• Inverse transitions in a spin-glass model on a scale-free network
• Random, thermodynamic and inverse first order transitions in the Blume-Capel spin-glass
• The overlap parameter across an inverse first order phase transition in a 3D spin-glass
• Inverse transitions and disappearance of the λ-line in the asymmetric random field Ising and Blume-Capel models
• Generalized Lotka-Volterra model with sparse interactions: non-Gaussian effects and topological multiple-equilibria phase
• Spin-glass splitting in the quantum Ghatak-Sherrington model
• Dynamical arrest with zero complexity: the unusual behavior of the spherical Blume Emery Griffiths disordered model
• Spin-1 Hopfield model under a random field
• Phase transitions in the Blume-Capel model with trimodal and Gaussian random fields