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Nonlinear hydrodynamic theory of crystallization

journal contribution
posted on 06.11.2017 by Gyula Toth, Laszlo Granasy, Gyorgy Tegze
We 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 Matter

Volume

26

Issue

5

Pages

055001 - 055001

Citation

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

© IOP

Version

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

2014

ISSN

0953-8984

eISSN

1361-648X

Language

en

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