Dresden 2006 – scientific programme

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CPP: Chemische Physik und Polymerphysik

CPP 8: SYMPOSIUM Nonequilibrium Phenomena in Soft-Condensed Matter

CPP 8.5: Talk

Tuesday, March 28, 2006, 15:00–15:15, ZEU Lich

Suppression of demixing in a small gap between parallel plates: From Cahn-Hilliard to model H — •Santiago Madruga and Uwe Thiele — Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden, Germany

We analyse the spinodal decomposition of a mixture in the gap between parallel plates [1]. Linear results obtained with the full transport equations for (a) solely diffusive transport described by the Cahn-Hilliard equation and (b) diffusive and convective transport described by model H consisting of coupled Navier-Stokes and Cahn-Hilliard equations [2] are compared to an effective thin film description.

Detailed results are given for the dependence of the critical gap width (below which decomposition is suppressed) on the physico-chemical properties of the bounding plates. Criteria for the validity of the thin film description are given.

[1] R. Kenzler et al., Comp. Phys. Comm. 133, 139–157 (2001).

[2] D. M. Anderson, G. B. McFadden, and A. A. Wheeler, Ann. Rev. Fluid Mech. 30, 139–165 (1998).