The Thermodynamic Glass Transition in Finite Dimensions

Abstract

Using an effective potential method, a replica formulism is set up for describing supercooled liquids near their glass transition. The resulting potential is equivalent to that for an Ising spin glass in a magnetic field. Results taken from the droplet picture of spin glasses are then used to provide an explanation of the main features of fragile glasses.

4 pages; Final version published in Physical Review Letters

References in corpus (11)

• Direct experimental evidence of a growing length scale accompanying the glass transition
• On the Adam-Gibbs-Wolynes scenario for the viscosity increase in glasses
• Recipes for metastable states in Spin Glasses
• Phase diagram of glassy systems in an external field
• Absence of an Almeida-Thouless line in Three-Dimensional Spin Glasses
• Activated events in glasses: the structure of entropic droplets
• First steps of a nucleation theory in disordered systems
• Metastable States, Relaxation Times and Free-energy Barriers in Finite Dimensional Glassy Systems
• p-spin model in finite dimensions and its relation to structural glasses
• Continuous phase transition in a spin-glass model without time-reversal symmetry
• The Stability of the Replica Symmetric State in Finite Dimensional Spin Glasses

Cited by in corpus (25)

• Theoretical perspective on the glass transition and amorphous materials
• Supercooled Liquids for Pedestrians
• Thermodynamic signature of growing amorphous order in glass-forming liquids
• Growing point-to-set length scale correlates with growing relaxation times in model supercooled liquids
• Dynamic Glass Transition in Two Dimensions
• Random-field-like criticality in glass-forming liquids
• The Gardner transition in finite dimensions
• Surface tension fluctuations and a new spinodal point in glass-forming liquids
• Replica theory for fluctuations of the activation barriers in glassy systems
• Glass Phenomenology from the Connection to Spin Glasses
• Origin of the Growing Length Scale in M-p-Spin Glass Models
• Random Field Ising-like effective theory of the glass transition II: Finite Dimensional Models
• Real Space Renormalization Group Theory of Disordered Models of Glasses
• Random-Field Ising like effective theory of the glass transition: I Mean-Field Models
• Interface free energies in p-spin glass models
• The Ising M-p-spin mean-field model for the structural glass: continuous vs. discontinuous transition
• What are the interactions in quantum glasses?
• The metastable minima of the Heisenberg spin glass in a random magnetic field
• A self-consistent field theory of density correlations in classical fluids
• Possible instability of one-step replica symmetry breaking in p-spin Ising models outside mean-field theory
• The Super-Potts glass: a new disordered model for glass-forming liquids
• Jump Events in a 3D Edwards-Anderson Spin Glass
• Kinetic glass behavior in a diffusive model
• Absence of a structural glass phase in a monoatomic model liquid predicted to undergo an ideal glass transition
• Replica Symmetry Broken States of some Glass Models