Diverging time and length scales of spinodal decomposition modes in thin films
Fakultät für Physik, Universität Konstanz,
D-78457 Konstanz, Germany
Accepted: 29 January 1998
We study the early-time spinodal decomposition of binary mixtures in thin slabs of thickness L on the basis of a Ginzburg-Landau–type treatment. After deriving a general classification of the linear demixing modes, we calculate explicitly the L-dependent mode spectrum for a symmetric slab with wall-induced interactions that tend to stabilize the mixture. We show that there exists a critical thickness Lc below which no spontaneous demixing takes place. Both the wavelength and the inverse growth rate of the most unstable modes diverge when L approaches Lc.
PACS: 64.75.+g – Solubility, segregation, and mixing; phase separation / 68.60.-p – Physical properties of thin films, nonelectronic / 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes
© EDP Sciences, 1998