Table of Contents
Research Letters in Physics
Volume 2009, Article ID 250203, 4 pages
Research Letter

The Spatiotemporal Oscillations of Order Parameter for Isothermal Model of the Surface-Directed Spinodal Decomposition in Bounded Binary Mixtures

1A. A. Galkin Donetsk Institute for Physics and Engineering, National Academy of Sciences of Ukraine (NASU), 72, R. Luxemburg Street, 83114 Donetsk, Ukraine
2Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine (NASU), 74, R. Luxemburg Street, 83114 Donetsk, Ukraine

Received 30 September 2008; Accepted 29 December 2008

Academic Editor: Peter McClintock

Copyright © 2009 Igor B. Krasnyuk and Roman M. Taranets. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The asymptotical behavior of order parameter in confined binary mixture is considered in one-dimensional geometry. The interaction between bulk and surface forces in the mixture is investigated. Its established conditions are when the bulk spinodal decomposition may be ignored and when the main role in the process of formation of the oscillating asymptotic periodic spatiotemporal structures plays the surface-directed spinodal decomposition which is modelled by nonlinear dynamical boundary conditions.