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Dynamics of a Faceted Nematic-Smectic B Front in Thin-Sample Directional Solidification

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Interface and Transport Dynamics

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.

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© 2003 Springer-Verlag Berlin Heidelberg

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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

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  • 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

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