Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/90048
Title: Kinetic transition in the order–disorder transformation at a solid/liquid interface
Authors: Galenko, P. K.
Nizovtseva, I. G.
Reuther, K.
Rettenmayr, M.
Issue Date: 2018
Publisher: Royal Society Publishing
Citation: Kinetic transition in the order–disorder transformation at a solid/liquid interface / P. K. Galenko, I. G. Nizovtseva, K. Reuther, M. Rettenmayr. — DOI 10.1098/rsta.2017.0207 // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. — 2018. — Vol. 2113. — Iss. 376. — 20170207.
Abstract: Phase-field analysis for the kinetic transition in an ordered crystal structure growing from an undercooled liquid is carried out. The results are interpreted on the basis of analytical and numerical solutions of equations describing the dynamics of the phase field, the long-range order parameter as well as the atomic diffusion within the crystal/liquid interface and in the bulk crystal. As an example, the growth of a binary A50B50 crystal is described, and critical undercoolings at characteristic changes of growth velocity and the long-range order parameter are defined. For rapidly growing crystals, analogies and qualitative differences are found in comparison with known non-equilibrium effects, particularly solute trapping and disorder trapping. The results and model predictions are compared qualitatively with results of the theory of kinetic phase transitions (Chernov 1968 Sov. Phys. JETP 26, 1182–1190) and with experimental data obtained for rapid dendritic solidification of congruently melting alloy with order–disorder transition (Hartmann et al. 2009 Europhys. Lett. 87, 40007 (doi:10.1209/0295-5075/87/40007)). This article is part of the theme issue ‘From atomistic interfaces to dendritic patterns’. © 2018 The Author(s) Published by the Royal Society. All rights reserved.
Keywords: DIFFUSE INTERFACE
DISORDER TRAPPING
KINETIC PHASE TRANSITION
LONG-RANGE ORDER PARAMETER
ORDERING CRYSTAL
CRYSTAL STRUCTURE
KINETICS
ANALYTICAL AND NUMERICAL SOLUTIONS
DENDRITIC SOLIDIFICATION
DIFFUSE INTERFACE
DISORDER TRAPPING
KINETIC PHASE TRANSITIONS
LONG-RANGE ORDER PARAMETERS
NON-EQUILIBRIUM EFFECTS
SOLID/LIQUID INTERFACES
PHASE INTERFACES
URI: http://hdl.handle.net/10995/90048
https://elar.urfu.ru/handle/10995/90048
metadata.dc.rights: info:eu-repo/semantics/openAccess
SCOPUS ID: 85040576411
WOS ID: 000419529400006
PURE ID: 6432686
ISSN: 1364-503X
DOI: 10.1098/rsta.2017.0207
metadata.dc.description.sponsorship: Russian Science Foundation, RSF: 16-11-10095
50WM1541
Deutsche Forschungsgemeinschaft, DFG
Data accessibility. This article has no additional data. Authors’ contributions. All the authors contributed equally to the present research paper. Competing interests. The authors declare that they have no competing interests. Funding. This work was supported by the Russian Science Foundation (grant no. 16-11-10095), the German Space Center Space Management (under contract number 50WM1541) and the Deutsche Forschungsgemeinschaft (DFG) (under grant no. Re1261/8-2).
RSCF project card: 16-11-10095
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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