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 nonconserved order parameter field couples bilinearly to a diffusive field. In the limit N --> infinity 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.

Diffusion limited growth in systems with continuous symmetry

MARINI BETTOLO MARCONI, Umberto;
1995-01-01

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 nonconserved order parameter field couples bilinearly to a diffusive field. In the limit N --> infinity 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.
1995
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/102466
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