Dendritic growth at very low undercoolings

Details Dendritic growth at very low undercoolings Dendritic growth at very low undercoolings

1995-10-19

arxiv.org/abs/cond-mat/9510102v1

Physics

Condensed Matter

9 pages, 4 postscript figures, REVTEX 3.0, to be published in Europhysics Letters

Scientific paper

10.1209/0295-5075/32/1/011

We have performed numerical simulations of dendritic growth at very low undercoolings in two spatial dimension using a phase-field model. In this regime of growth, the dendrites present sharp corners in the tip region while the trailing region is parabolic, and the corresponding side-branching structures resemble the shape of the tip. The scaling $v\rho^2\sim constant$, where $\rho$ is the tip radius of curvature from the fitting to the parabolic trailing region, still holds approximately. We find that the values of $v\rho^2$ are consistent with those given by microscopic solvability theory. The sharpness of the tip region of the dendrite can be characterized in terms of the deviation $\lambda$ with respect to an Ivantsov parabola. We observe that this length scales as $\lambda \sim \rho$, consistent with experimental measurements.

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