Effective potential in glassy systems: theory and simulations

Abstract

We study the phase diagram of glassy systems in presence of an attractive coupling among real replicas. We find competition among a localized and a delocalized phase, that are separated by a coexistence line as in ordinary first order phase transitions. The coexistence line terminates in a critical point. We present numerical simulations for binary glasses in which show that this scenario is realized.

18 pages, 15 figures, revtex style

References in corpus (2)

• Phase diagram of glassy systems in an external field
• Temperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses

Cited by in corpus (63)

• Theoretical perspective on the glass transition and amorphous materials
• Perspective: The Glass Transition
• On nonlinear susceptibility in supercooled liquids
• Ideal Glass Transitions by Random Pinning
• A Landscape Analysis of Constraint Satisfaction Problems
• Exact theory of dense amorphous hard spheres in high dimension. II. The high density regime and the Gardner transition
• Field Theory of Fluctuations in Glasses
• Modern computational studies of the glass transition
• Overlap fluctuations in glass-forming liquids
• Order in glassy systems
• Lennard-Jones binary mixture: a thermodynamical approach to glass transition
• Generalization of the cavity method for adiabatic evolution of Gibbs states
• A phase-separation perspective on dynamic heterogeneities in glass-forming liquids
• Origin of the computational hardness for learning with binary synapses
• Evidence for a disordered critical point in a glass-forming liquid
• On the critical slowing down exponents of mode coupling theory
• Critical Dynamics in Glassy Systems
• Number partitioning as random energy model
• First steps of a nucleation theory in disordered systems
• Renormalization group analysis of the random first order transition
• Liquid-glass transition in equilibrium
• Fundamental limits of detection in the spiked Wigner model
• Estimation in the spiked Wigner model: A short proof of the replica formula
• Universality Classes of Critical Points in Constrained Glasses
• Metastable States, Relaxation Times and Free-energy Barriers in Finite Dimensional Glassy Systems
• The Kac limit for finite-range spin glasses
• Mean field analysis of reverse annealing for code-division multiple-access multiuser detection
• Performance of simulated annealing in p-spin glasses
• Glassy dynamics as a melting process (On melting dynamics and the glass transition, Part II)
• Statics and Dynamics of the 10-state mean-field Potts glass model: A Monte Carlo study
• Transition in coupled replicas may not imply a finite temperature ideal glass transition in glass forming systems
• On the two-steps relaxation of mean-field glasses: p-spin model
• Random-field Ising model criticality in a glass-forming liquid
• Statistical mechanics of coupled supercooled liquids in finite dimensions
• Glassy Critical Points and Random Field Ising Model
• Statics and dynamics of the ten-state nearest-neighbor Potts glass on the simple-cubic lattice
• Random-Field Ising like effective theory of the glass transition: I Mean-Field Models
• Spin liquid to spin glass crossover in the random quantum Heisenberg magnet
• Quasi-equilibrium in glassy dynamics: an algebraic view
• Distribution of rare saddles in the $p$-spin energy landscape
• Evidence against a glass transition in the 10-state short range Potts glass
• On the overlap between configurations in glassy liquids
• Role of fluctuations in the phase transitions of coupled plaquette spin models of glasses
• Mean-field description for the architecture of low-energy excitations in glasses
• Arrangement of nearby minima and saddles in the mixed spherical energy landscapes
• Disordered Potts model on the diamond hierarchical lattice: Numerically exact treatment in the large-q limit
• Lattice glass model in three spatial dimensions
• Nonequilbrium physics of generative diffusion models
• Structure and dynamics of coupled viscous liquids
• First Principle Computation of Random Pinning Glass Transition, Glass Cooperative Length-Scales and Numerical Comparisons
• Mean-field glass transition in a model liquid
• Locally self-similar phase diagram of the disordered Potts model on the hierarchical lattice
• Packing hard spheres with short-range attraction in infinite dimension: Phase structure and algorithmic implications
• Replica Field Theory for a Generalized Franz--Parisi Potential of Inhomogeneous Glassy Systems: New Closure and the Associated Self-Consistent Equation
• Calculation of 1RSB transition temperature of spin glass models on regular random graphs under the replica symmetric ansatz
• Pole Analysis of the Inter-Replica Correlation Function in a Two-Replica System as a Binary Mixture: Mean Overlap in the Cluster Glass Phase
• A replica trick for rare samples
• Metastable states in the Blume-Emery-Griffiths spin glass model
• Order formation processes of complex systems including different parity order parameters
• Rényi complexity in mean-field disordered systems
• Replica analysis of Franz-Parisi potential for sparse systems
• Effective Potential in Glass Forming Liquids
• Complexity and line of critical points in a short-range spin-glass model