Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-25T15:25:11.568Z Has data issue: false hasContentIssue false

Mechanisms which can Accelerate the Growth of Phase Separating Domains Near a Wall

Published online by Cambridge University Press:  15 February 2011

Sandra M. Troian*
Affiliation:
Exxon Research & Eng. Co.,Clinton Twp.- Route 22 East, Annandale, N.J. 08801
Get access

Abstract

Though the dynamics of bulk phase separation during spinodal decomposition is fairly well understood nowadays, recent experiments have shown that the same process occuring near a wall introduces some surprisingly fast domain growth kinetics. Studies of both polymer mixtures and simple binary fluids at critical composition quenched into the unstable regime reveal the presence of a fast mode associated with domains coarsening at the wall. The scattering data indicates that while the bulk domains grow in time as t1/3, as dictated by usual diffusion driven dynamics, the surface domains coarsen with exponents ranging from about 1.1 to 1.5 depending on the quench depth. We construct a model in which the average size of domains in a binary mixture undergoing spinodal decomposition near a wall can achieve growth exponents much larger than 1/3. The accelerated growth is associated with the domains of the non-wetting phase coarsening anisotropically against a wall coated with the wetting phase.The faster growth evolves from coupling Lifshitz-Slyozov type coarsening for critical volume fractions, modified to include the geometric constraint of growth near a wall, the process of domain coalescence. Included are some predictions for experimental tests of these ideas.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Wiltzius, P. and Cumming, A., Phys. Rev. Lett. 66, 3000 (1991).Google Scholar
2. Cumming, A., Wiltzius, P., Bates, F. and Rosedale, J., Phys. Rev. A. 45, 885 (1992).Google Scholar
3. Shi, B.Q. and Cumming, A., to be published.Google Scholar
4. Guenoun, P., Beysens, D. and Robert, M., Phys. Rev. Lett. 65, 2406 (1990).Google Scholar
5. Polymer mixtures can exhibit a quench dependent exponent [7], but in such systems the absolute value of the slope increases with ΔT.Google Scholar
6. Huse, D.A., Phys. Rev. B 34, 7845 (1986).Google Scholar
7. Bates, F.S. and Wiltzius, P., J. Chem. Phys. 91, 3258 (1989).Google Scholar
8. Lifshitz, I.M. and Slyozov, V.V., J. Phys. Chem. Solids 19, 35 (1961).Google Scholar
9. Voorhees, P.W. and Glicksman, M.E., Met. Trans. A 15A, 1081 (1984).Google Scholar
10. Bray, A.J., Phys. Rev. Lett. 62, 2841 (1989).Google Scholar
11. Torres, F.E. and Troian, S.M., to be published.Google Scholar
12. Jones, R.A.L. et al, Phys. Rev. Lett. 66, 1326 (1991); F. Bruder and R. Brenn, Phys. Rev. Lett. 69, 624 (1992).Google Scholar
13. Siggia, E.D., Phys. Rev. A 20, 595 (1979).Google Scholar
14. For critical mixtures, RB is also proportional to the average size of a domain or likewise the distance between domains.Google Scholar
15. T. M. Rogers Elder, K.R., and Desai, R.C., Phys. Rev. A. 38, 5303 (1988).Google Scholar
16. Steyer, A., Ph. D thesis (unpublished), Universite Paris VI (1991) and references therein.Google Scholar
17. Substituting appropriate values for the parameters we find i fusion /T diffusion O(0.1), with smaller ratios for domain sizes larger than a micron.Google Scholar
18. A curious point in these experiments is that the fast signal scales with a power close to 3/2 even though the bulk is supposedly coarsening as t and not t 1/3.Google Scholar