Ghost-patterning and non-patterning in a draining film model
School of Mathematics, University of Leeds, LS2 9JT, Leeds, UK
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Accepted: 5 May 2020
Published online: 29 May 2020
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.
Key words: Flowing Matter: Interfacial phenomena
© The Author(s), 2020