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.
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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 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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