Elimination of surface diffusion in the non-diagonal phase field model
G. Boussinot, E. A. Brener, C. Hueter, R. Spatschek,
Pages: 1--8
DOI: 10.1007/s00161-015-0447-0
Published: 2015
Abstract
We present a non-diagonal phase field model for phase transformations
with unequal but finite diffusivities in the two phases. This model
allows to recover the desired boundary conditions at the diffuse
interface, and especially the elimination of the artificially enhanced
surface diffusion effect. The model is non-diagonal since it incorporates
the kinetic cross-coupling between the non-conserved and the conserved
fields that was recently introduced (Brener and Boussinot in Phys
Rev E 86:060601, 2012). We test numerically this model for the two-dimensional
relaxation of a weakly perturbed interface towards its flat equilibrium.