Abstract
We study the dynamics of directional-solidification fronts presenting facets in one direction. We focus on the phenomena occurring immediately above the Mullins-Sekerka instability threshold when the facet is tilted with respect to the growth direction. The experimental system we use is a nematic — smectic B front in the planar configuration. We observe 1.) drifting shallow cells, which we explain by means of a linear stability analysis including diffusive and kinetic anisotropies; 2.) a new type of oscillatory solitary wave, called “faceton”. For a numerical approach, we use a phase field model with sharp capillary and kinetic anisotropies.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
F. Melo and P. Oswald, Phys. Rev. Lett., 64, 1381 (1990).
F. Melo and P. Oswald, J. Phys. II, 1, 353 ( 1991 ). Also see F. Melo, Thése de Doctorat, Université Lyon-I (1991).
Á. Buka, T. Tóth-Katona and L. Kramer, Phys. Rev. E 51, 571 (1995).
T. Tóth-Katona, T. Börzsönyi, Z. Váradi, J. Szabon, Á. Buka, R. GonzálezCinca, L. Ramirez-Piscina, J. Casademunt, and A. Hernández-Machado, Phys. Rev. E 54, 1574 (1996).
S. Akamatsu, G. Faivre and T. Ihle, Phys. Rev. E 51, 4751 (1995).
T. Börzsönyi, S. Akamatsu and G. Faivre, Phys. Rev. E 65 11702 (2001).
S. R. Coriell and R. F. Sekerka J. Cryst. Growth 34, 157 (1976).
W. K. Burton, N. Cabrera and F. C. Frank, Phil. Roy. Soc. London 243, 299 (1951).
A. A. Chernov, Contemporary Physics, 30 251 (1989).
A. Classen, C. Misbah, H. Müller-Krumbhaar and Y. Saito Phys. Rev. A 43, 6920 (1991).
W. Losert, D.A. Stillman, H.Z. Cummins, P. Kopczynski, W.-J. Rappel and A. Karma. Phys. Rev. E 58, 7492 (1998).
W.-J. Rappel and A. Karma. Phys. Rev. E 53, R3017 (1996).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Börzsönyi, T., Akamatsu, S., Faivre, G. (2003). Dynamics of a Faceted Nematic-Smectic B Front in Thin-Sample Directional Solidification. In: Emmerich, H., Nestler, B., Schreckenberg, M. (eds) Interface and Transport Dynamics. Lecture Notes in Computational Science and Engineering, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07969-0_15
Download citation
DOI: https://doi.org/10.1007/978-3-662-07969-0_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07320-5
Online ISBN: 978-3-662-07969-0
eBook Packages: Springer Book Archive