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Nonlinear hydrodynamic theory of crystallization
journal contribution
posted on 2017-11-06, 16:31 authored by Gyula TothGyula Toth, Laszlo Granasy, Gyorgy TegzeWe present an isothermal fluctuating nonlinear hydrodynamic theory of crystallization in
molecular liquids. A dynamic coarse-graining technique is used to derive the velocity field, a
phenomenology which allows a direct coupling between the free energy functional of the
classical density functional theory and the Navier–Stokes equation. In contrast to the
Ginzburg–Landau type amplitude theories, the dynamic response to elastic deformations is
described by parameter-free kinetic equations. Employing our approach to the free energy
functional of the phase-field crystal model, we recover the classical spectrum for the phonons
and the steady-state growth fronts. The capillary wave spectrum of the equilibrium
crystal–liquid interface is in good qualitative agreement with the molecular dynamics
simulations.
Funding
This work has been supported by the EU FP7 Collaborative Project EXOMET (contract no. NMP-LA-2012-280421, co-funded by ESA) and by the ESA MAP/PECS project GRADECET (Contract No. 4000104330/11/NL/KML). G. Tegze is a grantee of the J´anos Bolyai Scholarship of the Hungarian Academy of Sciences.
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Physics: Condensed MatterVolume
26Issue
5Pages
055001 - 055001Citation
TOTH, G., GRANASY, L. and TEGZE, G., 2014. Nonlinear hydrodynamic theory of crystallization. Journal of Physics. Condensed Matter, 26 (5), DOI: 10.1088/0953-8984/26/5/055001.Publisher
© IOPVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2014ISSN
0953-8984eISSN
1361-648XPublisher version
Language
- en