Thermodynamic stability of hard sphere crystals in dimensions 3 through 10.

dc.contributor.author

Charbonneau, Patrick

dc.contributor.author

Gish, Caitlin M

dc.contributor.author

Hoy, Robert S

dc.contributor.author

Morse, Peter K

dc.date.accessioned

2022-05-02T17:22:19Z

dc.date.available

2022-05-02T17:22:19Z

dc.date.issued

2021-08-09

dc.date.updated

2022-05-02T17:22:19Z

dc.description.abstract

Although much is known about the metastable liquid branch of hard spheres-from low dimension d up to [Formula: see text]-its crystal counterpart remains largely unexplored for [Formula: see text]. In particular, it is unclear whether the crystal phase is thermodynamically stable in high dimensions and thus whether a mean-field theory of crystals can ever be exact. In order to determine the stability range of hard sphere crystals, their equation of state is here estimated from numerical simulations, and fluid-crystal coexistence conditions are determined using a generalized Frenkel-Ladd scheme to compute absolute crystal free energies. The results show that the crystal phase is stable at least up to [Formula: see text], and the dimensional trends suggest that crystal stability likely persists well beyond that point.

dc.identifier

10.1140/epje/s10189-021-00104-y

dc.identifier.issn

1292-8941

dc.identifier.issn

1292-895X

dc.identifier.uri

https://hdl.handle.net/10161/24978

dc.language

eng

dc.publisher

Springer Science and Business Media LLC

dc.relation.ispartof

The European physical journal. E, Soft matter

dc.relation.isversionof

10.1140/epje/s10189-021-00104-y

dc.subject

cond-mat.stat-mech

dc.subject

cond-mat.stat-mech

dc.subject

cond-mat.soft

dc.title

Thermodynamic stability of hard sphere crystals in dimensions 3 through 10.

dc.type

Journal article

duke.contributor.orcid

Charbonneau, Patrick|0000-0001-7174-0821

pubs.begin-page

101

pubs.issue

8

pubs.organisational-group

Duke

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.organisational-group

Chemistry

pubs.organisational-group

Physics

pubs.publication-status

Published

pubs.volume

44

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