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.
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Communicated by Ralf Müller.
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Boussinot, G., Brener, E.A., Hüter, C. et al. Elimination of surface diffusion in the non-diagonal phase field model. Continuum Mech. Thermodyn. 29, 969–976 (2017). https://doi.org/10.1007/s00161-015-0447-0
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DOI: https://doi.org/10.1007/s00161-015-0447-0