Abstract
We discuss in detail algorithms that are being used to study the temporal evolution of an interface separating two coexisting phases, after it becomes morphologically unstable. The two cases presented model the diffusive decay of macroscopic inhomogeneities and are “one-sided” in that variations of the order parameter are neglected in one of the phases. The first model discussed assumes quasistationary diffusion in a laboratory reference frame. In the second model, the quasistationary approximation is introduced in a frame that is advancing with the interface. The equations obtained in this latter case are a simplified model of directional solidification from the melt.
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© 1993 Springer-Verlag Berlin Heidelberg
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Viñals, J., Jasnow, D. (1993). Numerical Studies of the Dynamics of Unstable Interfaces. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics IV. Springer Proceedings in Physics, vol 72. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84878-0_7
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DOI: https://doi.org/10.1007/978-3-642-84878-0_7
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