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

Publication ,  Journal Article
Charbonneau, P; Kurchan, J; Parisi, G; Urbani, P; Zamponi, F
Published in: Annual Review of Condensed Matter Physics
March 31, 2017

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.

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Published In

Annual Review of Condensed Matter Physics

DOI

EISSN

1947-5462

ISSN

1947-5454

Publication Date

March 31, 2017

Volume

8

Start / End Page

265 / 288
 

Citation

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Chicago
ICMJE
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Charbonneau, P., Kurchan, J., Parisi, G., Urbani, P., & Zamponi, F. (2017). Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions. Annual Review of Condensed Matter Physics, 8, 265–288. https://doi.org/10.1146/annurev-conmatphys-031016-025334
Charbonneau, P., J. Kurchan, G. Parisi, P. Urbani, and F. Zamponi. “Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions.” Annual Review of Condensed Matter Physics 8 (March 31, 2017): 265–88. https://doi.org/10.1146/annurev-conmatphys-031016-025334.
Charbonneau P, Kurchan J, Parisi G, Urbani P, Zamponi F. Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions. Annual Review of Condensed Matter Physics. 2017 Mar 31;8:265–88.
Charbonneau, P., et al. “Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions.” Annual Review of Condensed Matter Physics, vol. 8, Mar. 2017, pp. 265–88. Scopus, doi:10.1146/annurev-conmatphys-031016-025334.
Charbonneau P, Kurchan J, Parisi G, Urbani P, Zamponi F. Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions. Annual Review of Condensed Matter Physics. 2017 Mar 31;8:265–288.

Published In

Annual Review of Condensed Matter Physics

DOI

EISSN

1947-5462

ISSN

1947-5454

Publication Date

March 31, 2017

Volume

8

Start / End Page

265 / 288