Hall, CA and Evans, RML (2020) Ghost-patterning and non-patterning in a draining film model. European Physical Journal E, 43 (5). 32. ISSN 1292-8941
Abstract
Patterns can form when the uniform state of any system is unstable so that some non-uniform motif grows in amplitude. Here, we identify an alternative way to form non-trivial structures, which we call “ghost-patterns”. Ghost-patterns emerge from noisy initial conditions when all non-uniform modes decay in amplitude except for one non-trivial motif which fails to decay. Hence, in seeking structured states, it is not necessary to find positive growth rates. We demonstrate ghost-patterns in an idealized non-equilibrium model intended to emulate draining thin-film suspensions.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2020. This article is published with open access at Springerlink.com. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Flowing Matter: Interfacial phenomena |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 May 2020 12:44 |
Last Modified: | 06 Jul 2020 14:29 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1140/epje/i2020-11954-y |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:160398 |
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