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

Coniglio, A; Ciamarra, MP; Aste, T; (2017) Universal behaviour of the glass and the jamming transitions in finite dimensions for hard spheres. Soft Matter , 13 (46) pp. 8766-8771. 10.1039/c7sm01481c. Green open access

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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.

Type: Article
Title: Universal behaviour of the glass and the jamming transitions in finite dimensions for hard spheres
Open access status: An open access version is available from UCL Discovery
DOI: 10.1039/c7sm01481c
Publisher version: http://dx.doi.org/10.1039/c7sm01481c
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10043047
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