Theory of simple glasses
arXiv:1212.0390
Abstract
This manuscript has been prepared as a thesis to obtain the French "Habilitation à diriger des recherches (HDR)" which allows one to supervise PhD students. I review here my work on the glass and jamming transition. I tried to explain this subject in a concise and self-contained way, highlighting what I consider the main motivations for its study and trying to put my work in a broader perspective. Basically I tried to tell this story in the same way as I would tell it to a student who contacted me to start a PhD thesis on these topics.
Thesis written to obtain the French "Habilitation à diriger des recherches (HDR)"
References in corpus (75)
- Theoretical perspective on the glass transition and amorphous materials
- Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture I: The van Hove Correlation Function
- Supercooled Liquids for Pedestrians
- Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
- Random Packings of Frictionless Particles
- Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture II: Intermediate Scattering Function and Dynamic Susceptibility
- On the Adam-Gibbs-Wolynes scenario for the viscosity increase in glasses
- The structural glass transition and the entropy of the metastable states
- Spin-Glass Theory for Pedestrians
- Inherent Structure Entropy of Supercooled Liquids
- Critical Scaling of Shear Viscosity at the Jamming Transition
- Fragilities of Liquids Predicted from the Random First Order Transition Theory of Glasses
- Packing Hyperspheres in High-Dimensional Euclidean Spaces
- Thermodynamic signature of growing amorphous order in glass-forming liquids
- Probing the equilibrium dynamics of colloidal hard spheres above the mode-coupling glass transition
- Pair Correlation Function Characteristics of Nearly Jammed Disordered and Ordered Hard-Sphere Packings
- Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
- On the Rigidity of Amorphous Solids
- Recipes for metastable states in Spin Glasses
- Growing length and time scales in glass forming liquids
- Unified study of glass and jamming rheology in soft particle systems
- Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions
- Rigorous Inequalities between Length and Time Scales in Glassy Systems
- Finite-Size Scaling at the Jamming Transition
- On nonlinear susceptibility in supercooled liquids
- Lattice Glass Models
- Ideal Glass Transitions by Random Pinning
- Static point-to-set correlations in glass-forming liquids
- Jamming versus Glass Transitions
- A Landscape Analysis of Constraint Satisfaction Problems
- Universal microstructure and mechanical stability of jammed packings
- Stability at Random Close Packing
- Glass models on Bethe lattices
- Effect of Composition Changes on the Structural Relaxation of a Binary Mixture
- A theory of amorphous packings of binary mixtures of hard spheres
- Exact theory of dense amorphous hard spheres in high dimension. I. The free energy
- The ideal glass transition of Hard Spheres
- Glass transition and random close packing above three dimensions
- A tentative Replica Study of the Glass Transition
- Structural signatures of the unjamming transition at zero temperature
- Mosaic multi-state scenario vs. one-state description of supercooled liquids
- Statistical Physics of Structural Glasses
- Alpha-Relaxation Processes in Binary Hard-Sphere Mixtures
- Do Binary Hard Disks Exhibit an Ideal Glass Transition?
- Dynamics of glassy systems
- Temperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses
- Mixing effects for the structural relaxation in binary hard-sphere liquids
- Hard sphere crystallization gets rarer with increasing dimension
- Microscopic theory of the jamming transition of harmonic spheres
- Dimensional Study of the Caging Order Parameter at the Glass Transition
- Dynamical transition of glasses: from exact to approximate
- Glass transition of hard spheres in high dimensions
- Landscape of solutions in constraint satisfaction problems
- Critical fluctuations and breakdown of Stokes-Einstein relation in the Mode-Coupling Theory of glasses
- A phase-separation perspective on dynamic heterogeneities in glass-forming liquids
- Exactly Solvable Disordered Sphere-Packing Model in Arbitrary-Dimension Euclidean Spaces
- Activated events in glasses: the structure of entropic droplets
- Amorphous packings of hard spheres in large space dimension
- Direct determination of the size of basins of attraction of jammed solids
- Equilibrium glassy phase in a polydisperse hard sphere system
- Mode-Coupling as a Landau Theory of the Glass Transition
- Number of solutions of the TAP equations for p--spin interaction spin glasses
- Dynamic relaxation of a liquid cavity under amorphous boundary conditions
- Experimental study of the jamming transition at zero temperature
- The Hierarchical Random Energy Model
- Glass Transition of Hard Sphere Systems: Molecular Dynamics and Density Functional Theory
- Numerical and Theoretical Study of a Monodisperse Hard-Sphere Glass Former
- Renormalization group analysis of the M-p-spin glass model with p=3 and M=3
- Dynamic glass transition: bridging the gap between mode-coupling theory and the replica approach
- Origin of the Growing Length Scale in M-p-Spin Glass Models
- Glassy aspects of melting dynamics (On melting dynamics and the glass transition, Part I)
- Diverging length scale of the inhomogeneous mode-coupling theory: a numerical investigation
- Field theoretic formulation of a mode-coupling equation for colloids
- Critical scaling of jammed system after quench of temperature
- On the fragility of the mean-field scenario of structural glasses for finite-dimensional disordered spin models