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Diffusion Limited Growth in Systems with Continuous Symmetry

U. Marini Bettolo Marconi·A. Crisanti
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Abstract

To study the effect of slow heat conduction during phase separation, we discuss the relaxation properties of an $O(N)$ symmetric model with Phase field type dynamics, where a non conserved order parameter field couples bilinearly to a diffusive field. In the limit $N\to\infty$ we obtain an exact solution. The analysis reveals three different types of growth regimes and a very rich dynamical behavior. Finally the connection with the Mullins-Sekerka instability is expounded.

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U. Marini Bettolo Marconi, A. Crisanti. 1995-05-26. Diffusion Limited Growth in Systems with Continuous Symmetry. https://doi.org/10.1103/physrevlett.75.2168

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