Convective Cahn-Hilliard models: from coarsening to roughening

In this paper we demonstrate that convective Cahn-Hilliard models, describing phase separation of driven systems (e.g., faceting of growing thermodynamically unstable crystal surfaces), exhibit, with the increase of the driving force, a transition from the usual coarsening regime to a chaotic behavi...

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Bibliographic Details
Published in:Physical review letters Vol. 86; no. 8; pp. 1550 - 1553
Main Authors: Golovin, A A, Nepomnyashchy, A A, Davis, S H, Zaks, M A
Format: Journal Article
Language:English
Published: United States 19-02-2001
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Summary:In this paper we demonstrate that convective Cahn-Hilliard models, describing phase separation of driven systems (e.g., faceting of growing thermodynamically unstable crystal surfaces), exhibit, with the increase of the driving force, a transition from the usual coarsening regime to a chaotic behavior without coarsening via a pattern-forming state characterized by the formation of various stationary and traveling periodic structures as well as structures with localized oscillations. Relation of this phenomenon to a kinetic roughening of thermodynamically unstable surfaces is discussed.
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ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.86.1550