Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions

Journal Article (Review;Journal)

Despite decades of work, gaining a first-principles understanding of amorphous materials remains an extremely challenging problem. However, recent theoretical breakthroughs have led to the formulation of an exact solution of a microscopic glass-forming model in the mean-field limit of infinite spatial dimension. Numerical simulations have remarkably confirmed the dimensional robustness of some of the predictions. This review describes these latest advances. More specifically, we consider the dynamical and thermodynamic descriptions of hard spheres around the dynamical, Gardner, and jamming transitions. Comparing mean-field predictions with the finite-dimensional simulations, we identify robust aspects of the theory and uncover its more sensitive features. We conclude with a brief overview of ongoing research.

Full Text

Duke Authors

Cited Authors

  • Charbonneau, P; Kurchan, J; Parisi, G; Urbani, P; Zamponi, F

Published Date

  • March 31, 2017

Published In

Volume / Issue

  • 8 /

Start / End Page

  • 265 - 288

Electronic International Standard Serial Number (EISSN)

  • 1947-5462

International Standard Serial Number (ISSN)

  • 1947-5454

Digital Object Identifier (DOI)

  • 10.1146/annurev-conmatphys-031016-025334

Citation Source

  • Scopus