Planar Solidification from Undercooled Melt: An Approximation of a Dilute Binary Alloy for a Phase-field Model

Details Planar Solidification from Undercooled Melt: An Approximation of a Dilute Binary Alloy for a Phase-field Model Planar Solidification from Undercooled Melt: An Approximation of a Dilute Binary Alloy for a Phase-field Model

2004-07-28

arxiv.org/abs/cond-mat/0407721v1

in Interface and Transport Dynamics, H. Emmerich, B. Nestler, and M. Schreckenberg, eds. (Springer, 2003) pp.150-159

Physics

Condensed Matter

Materials Science

10 pages, 2 figures

Scientific paper

Planar solidification from an undercooled melt has been considered using the phase-field model. The solute and the phase fields have been found in the limit of small impurity concentration. These solutions in the limit of vanishing velocity of the interface motion give the equilibrium partition coefficient and the liquidus slope. Asymptotic expansions for the solute and for the phase fields, and the relation between the diffusive speed and the parameters of the phase field model have been found at high growth velocity. A comparison with numerical calculations is presented.

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