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Theoretical modeling of crystalline symmetry order with dendritic morphology

Theoretical modeling of crystalline symmetry order with dendritic morphology

Toropova, Liubov V., Galenko, Peter K., Alexandrov, Dmitri V., Demange, Gilles, Kao, Andrew ORCID: 0000-0002-6430-2134 and Rettenmayr, Markus (2020) Theoretical modeling of crystalline symmetry order with dendritic morphology. European Physical Journal: Special Topics (229). pp. 275-286. ISSN 1951-6355 (Print), 1951-6401 (Online) (doi:https://doi.org/10.1140/epjst/e2019-900103-0)

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Abstract

The 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 nonlinear 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 modelling data on ice dendrites grown from pure undercooled water.

Item Type: Article
Uncontrolled Keywords: theoretical modeling, dendritc growth, crystalline symmetry
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Centre for Numerical Modelling & Process Analysis (CNMPA)
Faculty of Liberal Arts & Sciences > Centre for Numerical Modelling & Process Analysis (CNMPA) > Computational Science & Engineering Group (CSEG)
Faculty of Liberal Arts & Sciences > Department of Mathematical Sciences
Related URLs:
Last Modified: 17 Feb 2020 16:37
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/24646

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