How to compute the thermodynamics of a glass using a cloned liquid
arXiv:cond-mat/9812024 · doi:10.1016/S0378-4371(98)00659-1
Abstract
The recently proposed strategy for studying the equilibrium thermodynamics of the glass phase using a molecular liquid is reviewed and tested in details on the solvable case of the -spin model. We derive the general phase diagram, and confirm the validity of this procedure. We point out the efficacy of a system of two weakly coupled copies in order to identify the glass transition, and the necessity to study a system with copies ('clones') of the original problem in order to derive the thermodynamic properties of the glass phase.
Latex, 17 pages, 6 figures
References in corpus (1)
Cited by in corpus (46)
- Mean field theory of hard sphere glasses and jamming
- Inherent Structure Entropy of Supercooled Liquids
- Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
- A first principle computation of the thermodynamics of glasses
- Liquid Limits: The Glass Transition and Liquid-Gas Spinodal Boundaries of Metastable Liquids
- Glass transition and layering effects in confined water: a computer simulation study
- Exact theory of dense amorphous hard spheres in high dimension. III. The full RSB solution
- Statistical Physics of Structural Glasses
- Overlap fluctuations in glass-forming liquids
- Lennard-Jones binary mixture: a thermodynamical approach to glass transition
- Toy model for the mean-field theory of hard-sphere liquids
- Replica theory of the rigidity of structural glasses
- Evaluation of configurational entropy of a model liquid from computer simulations
- Thermodynamics of supercooled liquids in the inherent structure formalism: a case study
- Evidence for a disordered critical point in a glass-forming liquid
- Stable Solution of the Simplest Spin Model for Inverse Freezing
- Inherent structures and non-equilibrium dynamics of 1D constrained kinetic models: a comparison study
- Liu-Nagel phase diagrams in infinite dimension
- Activated processes and Inherent Structure dynamics of finite-size mean-field models for glasses
- The Complex Spherical 2+4 Spin Glass: a Model for Nonlinear Optics in Random Media
- Universality Classes of Critical Points in Constrained Glasses
- Statistical Physics of the Glass Phase
- Finite-size scaling at the dynamical transition of the mean-field 10-state Potts glass
- Mean-field glassy phase of the random field Ising model
- Statistical mechanics of coupled supercooled liquids in finite dimensions
- Spin glass theory and its new challenge: structured disorder
- Statics and dynamics of the ten-state nearest-neighbor Potts glass on the simple-cubic lattice
- Quenched Computation of the Complexity of the Sherrington-Kirkpatrick Model
- Structural glass on a lattice in the limit of infinite dimensions
- Spin-Glass Model for Inverse Freezing
- Role of fluctuations in the phase transitions of coupled plaquette spin models of glasses
- On the overlap between configurations in glassy liquids
- Inherent Structures, Configurational Entropy and Slow Glassy Dynamics
- Solving the fully-connected spherical -spin model with the cavity method: equivalence with the replica results
- The liquid-glass transition of silica
- Disordered Potts model on the diamond hierarchical lattice: Numerically exact treatment in the large-q limit
- Large deviations of glassy effective potentials
- Structure and dynamics of coupled viscous liquids
- Mean-field glass transition in a model liquid
- Locally self-similar phase diagram of the disordered Potts model on the hierarchical lattice
- Inevitable Irreversibility Generated by the Glass Transition of the Binary Lattice Gas Model
- The quantum -spin glass model: A user manual for holographers
- Magnetic Properties of the Metamagnet Ising Model in a three-dimensional Lattice in a Random and Uniform Field
- Logarithmic critical slowing down in complex systems: from statics to dynamics
- Replica symmetry breaking in long-range glass models without quenched disorder
- Rényi complexity in mean-field disordered systems