Theory of simple glasses

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 (25)

• Theoretical perspective on the glass transition and amorphous materials
• Supercooled Liquids for Pedestrians
• Packing Hyperspheres in High-Dimensional Euclidean Spaces
• Probing the equilibrium dynamics of colloidal hard spheres above the mode-coupling glass transition
• Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
• Growing length and time scales in glass forming liquids
• Unified study of glass and jamming rheology in soft particle systems
• Rigorous Inequalities between Length and Time Scales in Glassy Systems
• Jamming versus Glass Transitions
• A Landscape Analysis of Constraint Satisfaction Problems
• Universal microstructure and mechanical stability of jammed packings
• Exact theory of dense amorphous hard spheres in high dimension. I. The free energy
• Mosaic multi-state scenario vs. one-state description of supercooled liquids
• Alpha-Relaxation Processes in Binary Hard-Sphere Mixtures
• Dynamics of glassy systems
• Do Binary Hard Disks Exhibit an Ideal Glass Transition?
• Mixing effects for the structural relaxation in binary hard-sphere liquids
• Dimensional Study of the Caging Order Parameter at the Glass Transition
• Glass transition of hard spheres in high dimensions
• Exactly Solvable Disordered Sphere-Packing Model in Arbitrary-Dimension Euclidean Spaces
• Amorphous packings of hard spheres in large space dimension
• Glass Transition of Hard Sphere Systems: Molecular Dynamics and Density Functional Theory
• Glassy aspects of melting dynamics (On melting dynamics and the glass transition, Part I)
• Origin of the Growing Length Scale in M-p-Spin Glass Models
• On the fragility of the mean-field scenario of structural glasses for finite-dimensional disordered spin models