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DY: Fachverband Dynamik und Statistische Physik

DY 44: Pattern Formation I

DY 44.4: Talk

Wednesday, March 14, 2018, 11:00–11:15, BH-N 334

Interrupted coarsening in a generalized Cahn-Hillard model with long-range interactions — •Simon Villain-Guillot and Mahdi Mcheik — Laboratoire Ondes et Matière d Aquitaine, Université de Bordeaux, 351 Cours de la Libération F-33405 Talence Cedex

The Cahn-Hilliard equation describes the dynamics of phase separation in the conservative case. This process is driven by the minimization of the free energy, especially of its interfacial part, during the Ostwald ripening, or coarsening. In 1D however, the lower energy state that should end the dynamics is very slow to reach. This is even more critical when the Cahn-Hilliard dynamics is modified to take into account long range interaction terms. A dynamical criterion proposed by Misbah and Politi [3] predict the interuption of the coarsening process and the stabilazation of a microstructured pattern.

We have explored a model where the Cahn Hilliard dynamics is coupled with a diffusion equation of a surfactant that favors interfaces. This scenario enables to speed up the dynamics and favors various pattern formation or micro-structuration.

References

[1] When does coarsening occur in the dynamics of one-dimensional fronts? P.Politi and C. Misbah, Phys. Rev. Lett. 92, 090601 (2004).