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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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Publication details

The article was received on 26 Jul 2017, accepted on 03 Nov 2017 and first published on 03 Nov 2017


Article type: Paper
DOI: 10.1039/C7SM01481C
Citation: Soft Matter, 2017, Advance Article
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    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, Advance Article , DOI: 10.1039/C7SM01481C

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