1D CAHN–HILLIARD EQUATION: OSTWALD RIPENING AND MODULATED PHASE SYSTEMS
نویسندگان
چکیده
منابع مشابه
1D Cahn-Hilliard equation: Ostwald Ripening and Modulated Phase Systems
Using an approximate analytical solution of the Cahn-Hilliard equation describing the coalescence during a first order phase transition, we compute the characteristic time for one step of period doubling in Langer's self similar scenario for Ostwald ripening. As an application, we compute the thermodynamically stable period of a 1D modulated phase pattern.
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Formation of modulated phase patterns can be modelized by a modi ed Cahn-Hilliard equation which includes a non local term preventing the formation of macroscopic domains. Using stationnary solutions of the original Cahn-Hilliard equation as analytical ansatzs, we compute the thermodynamically stable period of a 1D modulated phase pattern. We nd that the period scales like the power -1/3 of th...
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The physical basis behind the Ostwald ripening process for two-phase mixture has been reviewed in detail, using the various theories developed to describe this process. The Ostwald ripening, also termed second phase coarsening, is generally thought to be slow, diffusion-controlled process which occurs subsequent to phase separation under extremely small under-saturation levels. The major advanc...
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ژورنال
عنوان ژورنال: International Journal of Bifurcation and Chaos
سال: 2009
ISSN: 0218-1274,1793-6551
DOI: 10.1142/s0218127409024980