1D Cahn-Hilliard equation for modulated phase systems
نویسنده
چکیده
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 the strength of the long range interaction Pacs numbers : 47.54.+r, 05.45.Yv, 64.75.-g, 81.30.-t Electronic address: [email protected]
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