Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions
Abstract
Despite decades of work, gaining a first-principle understanding of amorphous materials
remains an extremely challenging problem. However, recent theoretical breakthroughs
have led to the formulation of an exact solution in the mean-field limit of infinite
spatial dimension, and 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 description and uncover its more sensitive features. We conclude with a brief
overview of ongoing research.
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https://hdl.handle.net/10161/13922Published Version (Please cite this version)
10.1146/annurev-conmatphys-031016-025334Publication Info
Charbonneau, P; Kurchan, J; Parisi, G; Urbani, P; & Zamponi, F (2017). Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions.
10.1146/annurev-conmatphys-031016-025334. Retrieved from https://hdl.handle.net/10161/13922.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Patrick Charbonneau
Professor of Chemistry
Professor Charbonneau studies soft matter. His work combines theory and simulation
to understand the glass problem, protein crystallization, microphase formation, and colloidal
assembly in external fields.

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