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Marginal stability analysis of the phase field crystal model in one spatial dimension

Galenko, Peter and Elder, K. R. (2011) Marginal stability analysis of the phase field crystal model in one spatial dimension. Physical Review B, 83, 064113-1-064113-8. APS. DOI: 10.1103/PhysRevB.83.064113.

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Abstract

The problem of wavenumber k and velocity V selection for a solid front invading an unstable homogeneous phase is considered. A marginal stability analysis is used to predict k and V for the parabolic and hyperbolic (or modiefied) phase field crystal models in one dimension. It is shown that the marginally selected wave number of the periodic crystal monotonically increases with increasing undercooling and relaxation times. At high undercooling and relaxation times it is found that the system can select a k that is unstable to an Eckhaus instability in the bulk phase. This may imply a transition to highly defected or glassy states in higher dimensions.

Document Type:Article
Title:Marginal stability analysis of the phase field crystal model in one spatial dimension
Authors:
AuthorsInstitution or Email of Authors
Galenko, Peterpeter.galenko@dlr.de
Elder, K. R. Oakland University, USA
Date:2011
Journal or Publication Title:Physical Review B
Refereed publication:Yes
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:83
DOI:10.1103/PhysRevB.83.064113
Page Range:064113-1-064113-8
Publisher:APS
Status:Published
Keywords:solidification, undercooling, theoretical modelling of crystal groewth, dendrites, sdtabilty anaölysis of solid/liquid interface
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W FR - Forschung unter Weltraumbedingungen (old)
DLR - Research area:Space
DLR - Program:W FR - Forschung unter Weltraumbedingungen
DLR - Research theme (Project):W - Vorhaben Materialwissenschaftliche Forschung (old)
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Dieter Herlach
Deposited On:16 Mar 2011 09:09
Last Modified:04 Apr 2013 16:28

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