Author:
Hall Craig A.,Evans R. M. L.
Abstract
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.
Graphical abstract
Publisher
Springer Science and Business Media LLC
Subject
Surfaces and Interfaces,General Materials Science,General Chemistry,Biophysics,Biotechnology
Reference32 articles.
1. M. Buchanan, D. Molenaar, S. de Villiers, R.M.L. Evans, Langmuir 23, 3732 (2007)
2. J.C.T. Kao, A.E. Hosoi, Phys. Fluids 24, 041701 (2012)
3. J.D. Gunton, M.S. Miguel, P.S. Sahni, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic Press, London, 1983)
4. J.W. Cahn, Trans. Metall. Soc. AIME 242, 166 (1968)
5. P.M. Chaikin, T.C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, New York, 1995) ISBN: 0521432243