Equation de Cahn-Hilliard 1D et phase modulée

Simon Villain-Guillot (1)

1 CPMOH - Centre de physique moléculaire optique et hertzienne

The formation of modulated phase patterns can be modelized by a modi?ed Cahn-Hilliard equation which includes a long range interaction 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 find that the period scales like the power (1/3) of the strength of the long range interaction

Domaines: Autre [cond-mat.other]

Simon Villain-Guillot. Equation de Cahn-Hilliard 1D et phase modulée. Rencontre du non-linéaire 2009, Mar 2009, France. pp.201. ⟨hal-00369157⟩