An extension to the Wheeler phase-field model to allow decoupling of the capillary and kinetic anisotropies
Institute for Materials Research, University of Leeds, Leeds LS2 9JT, UK
Corresponding author: a firstname.lastname@example.org
Revised: 16 June 2004
Published online: 21 October 2004
The formulation of the phase-field problem due to Wheeler et al. [Physica D 66, 243 (1993)] has been adopted and extended as a tool for solidification research by many groups around the World. However, an intrinsic problem of this model is that it couples two physically distinct anisotropies, those associated with the surface energy of the solid-liquid interface and attachment kinetics, into a single anisotropy parameter. In this paper we present a simple extension to the Wheeler model in which we show that introducing a complex form of the anisotropy function allows these two physical parameters to be decoupled.
PACS: 81.10.-h – Methods of crystal growth; physics of crystal growth / 81.30.Fb – Solidification / 64.70.Dv – Solid-liquid transitions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004