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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. American Physical Society. 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.

Item URL in elib:https://elib.dlr.de/69204/
Document Type:Article
Title:Marginal stability analysis of the phase field crystal model in one spatial dimension
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Galenko, Peterpeter.galenko (at) dlr.deUNSPECIFIED
Elder, K. R. Oakland University, USAUNSPECIFIED
Date:2011
Journal or Publication Title:Physical Review B
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
Volume:83
DOI :10.1103/PhysRevB.83.064113
Page Range:064113-1-064113-8
Publisher:American Physical Society
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: Herlach, Dieter
Deposited On:16 Mar 2011 09:09
Last Modified:06 Sep 2019 15:29

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