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Title: Theoretical modeling of crystalline symmetry order with dendritic morphology
Authors: Toropova, L. V.
Galenko, P. K.
Alexandrov, D. V.
Demange, G.
Kao, A.
Rettenmayr, M.
Issue Date: 2020
Publisher: Springer
Citation: Theoretical modeling of crystalline symmetry order with dendritic morphology / L. V. Toropova, P. K. Galenko, D. V. Alexandrov, et al. — DOI 10.1140/epjst/e2019-900103-0 // European Physical Journal: Special Topics. — 2020. — Vol. 229. — Iss. 2-3. — P. 275-286.
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 modeling data on ice dendrites grown from pure undercooled water. © 2020, EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85079127146
PURE ID: 12247296
ISSN: 19516355
DOI: 10.1140/epjst/e2019-900103-0
metadata.dc.description.sponsorship: L.V.T. acknowledges the support from the Ministry of Education and Science of the Russian Federation [grant number 1.12804.2018/12.2]. P.K.G. acknowledges the support by the European Space Agency (ESA) under research project MULTIPHAS (AO-2004) and the German Aerospace Center (DLR) Space Management under contract No. 50WM1541.
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