Fourier-spectral-method implementation of deformation in the phase-field crystal model
The phase-field crystal (PFC) method is a promising computational model with atomistic resolution and diffusive time scale. In this work, the Fourier-spectral-method (FSM) scheme was developed for evaluating the PFC free energy of a system subjected homogeneous deformation. This scheme addresses the...
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doaj-02c801570b244b6cb3f5bbd14b87ff1b2021-04-02T15:07:35ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011920102810.1051/matecconf/201819201028matecconf_iceast2018_01028Fourier-spectral-method implementation of deformation in the phase-field crystal modelPisutha-Arnond Nirand0Department of Industrial Engineering, Faculty of Engineering, King Mongkut’s Institute of Technology LadkrabangThe phase-field crystal (PFC) method is a promising computational model with atomistic resolution and diffusive time scale. In this work, the Fourier-spectral-method (FSM) scheme was developed for evaluating the PFC free energy of a system subjected homogeneous deformation. This scheme addresses the complication where, in numerical implementation of FSM using discrete Fourier transform (DFT), the discretized data may no longer lie along the directions of the Cartesian basis due to deformation. In this scheme, the real-space coordinate transformation is employed so that the (continuous) Fourier transform is performed on the function of the undeformed coordinates. This transformation allows straightforward DFT implementation because the sampling at the undeformed configuration is unaffected by the deformation. This scheme is also shown to be applicable to both the original PFC model and a “CDFT”-type PFC model containing a two-body correlation function.https://www.matec-conferences.org/articles/matecconf/pdf/2018/51/matecconf_iceast2018_01028.pdf |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Pisutha-Arnond Nirand |
spellingShingle |
Pisutha-Arnond Nirand Fourier-spectral-method implementation of deformation in the phase-field crystal model MATEC Web of Conferences |
author_facet |
Pisutha-Arnond Nirand |
author_sort |
Pisutha-Arnond Nirand |
title |
Fourier-spectral-method implementation of deformation in the phase-field crystal model |
title_short |
Fourier-spectral-method implementation of deformation in the phase-field crystal model |
title_full |
Fourier-spectral-method implementation of deformation in the phase-field crystal model |
title_fullStr |
Fourier-spectral-method implementation of deformation in the phase-field crystal model |
title_full_unstemmed |
Fourier-spectral-method implementation of deformation in the phase-field crystal model |
title_sort |
fourier-spectral-method implementation of deformation in the phase-field crystal model |
publisher |
EDP Sciences |
series |
MATEC Web of Conferences |
issn |
2261-236X |
publishDate |
2018-01-01 |
description |
The phase-field crystal (PFC) method is a promising computational model with atomistic resolution and diffusive time scale. In this work, the Fourier-spectral-method (FSM) scheme was developed for evaluating the PFC free energy of a system subjected homogeneous deformation. This scheme addresses the complication where, in numerical implementation of FSM using discrete Fourier transform (DFT), the discretized data may no longer lie along the directions of the Cartesian basis due to deformation. In this scheme, the real-space coordinate transformation is employed so that the (continuous) Fourier transform is performed on the function of the undeformed coordinates. This transformation allows straightforward DFT implementation because the sampling at the undeformed configuration is unaffected by the deformation. This scheme is also shown to be applicable to both the original PFC model and a “CDFT”-type PFC model containing a two-body correlation function. |
url |
https://www.matec-conferences.org/articles/matecconf/pdf/2018/51/matecconf_iceast2018_01028.pdf |
work_keys_str_mv |
AT pisuthaarnondnirand fourierspectralmethodimplementationofdeformationinthephasefieldcrystalmodel |
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1721560528277471232 |