Bond-orientational order and Frank’s constant in two-dimensional colloidal hard spheres

Recently, the full phase behaviour of two-dimensional colloidal hard spheres was experimentally established, and found to involve a first order liquid to hexatic transition and a continuous hexatic to crystal transition [A. L. Thorneywork et al., Phys. Rev. Lett. 118, 158001 (2017)]. Here, we expand...

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Main Authors: Thorneywork, A, Abbott, J, Aarts, D, Keim, P, Dullens, R
Format: Journal article
Published: IOP Publishing 2018
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author Thorneywork, A
Abbott, J
Aarts, D
Keim, P
Dullens, R
author_facet Thorneywork, A
Abbott, J
Aarts, D
Keim, P
Dullens, R
author_sort Thorneywork, A
collection OXFORD
description Recently, the full phase behaviour of two-dimensional colloidal hard spheres was experimentally established, and found to involve a first order liquid to hexatic transition and a continuous hexatic to crystal transition [A. L. Thorneywork et al., Phys. Rev. Lett. 118, 158001 (2017)]. Here, we expand upon this work by considering the behaviour of the bond-orientational correlation time and Frank’s constant in the region of these phase transitions. We also consider the excess entropy, as calculated from the radial distribution functions, for a wide range of area fractions covering the liquid, hexatic and crystal phases. In all cases, the behaviour of these quantities further corroborates the previously reported melting scenario of two-dimensional colloidal hard spheres.
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spelling oxford-uuid:40c490b6-8b1d-4ccf-a3de-034817a5e3652022-03-26T14:39:45ZBond-orientational order and Frank’s constant in two-dimensional colloidal hard spheresJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:40c490b6-8b1d-4ccf-a3de-034817a5e365Symplectic Elements at OxfordIOP Publishing2018Thorneywork, AAbbott, JAarts, DKeim, PDullens, RRecently, the full phase behaviour of two-dimensional colloidal hard spheres was experimentally established, and found to involve a first order liquid to hexatic transition and a continuous hexatic to crystal transition [A. L. Thorneywork et al., Phys. Rev. Lett. 118, 158001 (2017)]. Here, we expand upon this work by considering the behaviour of the bond-orientational correlation time and Frank’s constant in the region of these phase transitions. We also consider the excess entropy, as calculated from the radial distribution functions, for a wide range of area fractions covering the liquid, hexatic and crystal phases. In all cases, the behaviour of these quantities further corroborates the previously reported melting scenario of two-dimensional colloidal hard spheres.
spellingShingle Thorneywork, A
Abbott, J
Aarts, D
Keim, P
Dullens, R
Bond-orientational order and Frank’s constant in two-dimensional colloidal hard spheres
title Bond-orientational order and Frank’s constant in two-dimensional colloidal hard spheres
title_full Bond-orientational order and Frank’s constant in two-dimensional colloidal hard spheres
title_fullStr Bond-orientational order and Frank’s constant in two-dimensional colloidal hard spheres
title_full_unstemmed Bond-orientational order and Frank’s constant in two-dimensional colloidal hard spheres
title_short Bond-orientational order and Frank’s constant in two-dimensional colloidal hard spheres
title_sort bond orientational order and frank s constant in two dimensional colloidal hard spheres
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