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Journal Articles The European Physical Journal. Special Topics Year : 2020

Theoretical modeling of crystalline symmetry order with dendritic morphology

Abstract

Stable growth of a crystal with dendritic morphology with n-fold symmetry is modeled. Using the linear stability analysis and solvability theory, a selection criterion for thermally and solutally controlled growth of the dendrite is derived. A complete set of non-linear equations consisting of the selection criterion and an undercooling balance (which determines the implicit dependencies of the dendrite tip velocity and tip diameter on the total undercooling) is formulated. The growth kinetics of crystals having different lattice symmetry is analyzed. The model predictions are compared with phase field mod-eling data on ice dendrites grown from pure undercooled water.

Dates and versions

hal-02943240 , version 1 (20-07-2021)

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Liubov V Toropova, Peter K Galenko, Dmitri V Alexandrov, Gilles Demange, Andrew Kao, et al.. Theoretical modeling of crystalline symmetry order with dendritic morphology. The European Physical Journal. Special Topics, 2020, 229 (2-3), pp.275-286. ⟨10.1140/epjst/e2019-900103-0⟩. ⟨hal-02943240⟩
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