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Issue 46, 2017
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Universal behaviour of the glass and the jamming transitions in finite dimensions for hard spheres

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Abstract

We investigate the glass and the jamming transitions of hard spheres in finite dimensions d, through a revised cell theory, that combines the free volume and the Random First Order Theory (RFOT). Recent results show that in infinite dimension the ideal glass transition and jamming transitions are distinct, while based on our theory we argue that they indeed coincide for finite d. As a consequence, jamming results into a percolation transition described by RFOT, with a static length diverging with exponent ν = 2/d, which we verify through finite size scaling, and standard critical exponents α = 0, β = 0 and γ = 2 independent on d.

Graphical abstract: Universal behaviour of the glass and the jamming transitions in finite dimensions for hard spheres

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Article information


Submitted
26 Jul 2017
Accepted
03 Nov 2017
First published
03 Nov 2017

Soft Matter, 2017,13, 8766-8771
Article type
Paper

Universal behaviour of the glass and the jamming transitions in finite dimensions for hard spheres

A. Coniglio, M. Pica Ciamarra and T. Aste, Soft Matter, 2017, 13, 8766
DOI: 10.1039/C7SM01481C

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