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April 1, 1986Physical review. A, General physics176 citations

Selection of steady states in the two-dimensional symmetric model of dendritic growth

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DMD. I. Meiron

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Abstract

Selection of steady needle crystals in the full nonlocal symmetric model of dendritic growth is considered. The diffusion equation and associated kinematic and thermodynamic boundary conditions are recast into a nonlinear integral equation which is solved numerically. For the range of P\'eclet numbers and capillarity lengths considered it is found that a smooth solution exists only if anisotropy is included in the capillarity term of the Gibbs-Thomson condition. The behavior of the selected velocity and tip radius as a function of undercooling is also examined.

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D. I. Meiron (1986) studied this question.

synapsesocial.com/papers/6a1fe2ab3f3a87967f2e4524https://doi.org/10.1103/physreva.33.2704
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