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Phase transitions on non-uniformly curved surfaces: Coupling between phase and location

Law, Jack O.; Dean, Jacob M.; Miller, Mark A.; Kusumaatmaja, Halim

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Authors

Jack O. Law

Jacob M. Dean



Abstract

For particles confined to two dimensions, any curvature of the surface affects the structural, kinetic and thermodynamic properties of the system. If the curvature is non-uniform, an even richer range of behaviours can emerge. Using a combination of bespoke Monte Carlo, molecular dynamics and basin-hopping methods, we show that the stable states of attractive colloids confined to non-uniformly curved surfaces are distinguished not only by the phase of matter but also by their location on the surface. Consequently, the transitions between these states involve cooperative migration of the entire colloidal assembly. We demonstrate these phenomena on toroidal and sinusoidal surfaces for model colloids with different ranges of interactions as described by the Morse potential. In all cases, the behaviour can be rationalised in terms of three universal considerations: cluster perimeter, stress, and the packing of next-nearest neighbours.

Citation

Law, J. O., Dean, J. M., Miller, M. A., & Kusumaatmaja, H. (2020). Phase transitions on non-uniformly curved surfaces: Coupling between phase and location. Soft Matter, 16(34), 8069-8077. https://doi.org/10.1039/d0sm00652a

Journal Article Type Article
Acceptance Date Aug 6, 2020
Online Publication Date Aug 7, 2020
Publication Date Sep 14, 2020
Deposit Date Aug 7, 2020
Publicly Available Date Sep 3, 2020
Journal Soft Matter
Print ISSN 1744-683X
Publisher Royal Society of Chemistry
Peer Reviewed Peer Reviewed
Volume 16
Issue 34
Pages 8069-8077
DOI https://doi.org/10.1039/d0sm00652a
Publisher URL https://doi.or/10.1039/D0SM00652A

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