Efficient adaptive pseudo-symplectic numerical integration techniques for Landau-Lifshitz dynamics

Numerical time integration schemes for Landau-Lifshitz magnetization dynamics are considered. Such dynamics preserves the magnetization amplitude and, in the absence of dissipation, also implies the conservation of the free energy. This property is generally lost when time discretization is performe...

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Detalles Bibliográficos
Autores: Capuano, Francesco|||0000-0003-0274-5260, Coppola, Gennaro
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/364814
Acceso en línea:https://hdl.handle.net/2117/364814
https://dx.doi.org/10.1063/1.5007340
Access Level:acceso abierto
Palabra clave:Fluid dynamics
Mecànica de fluids
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
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repository_id_str
spelling Efficient adaptive pseudo-symplectic numerical integration techniques for Landau-Lifshitz dynamicsCapuano, Francesco|||0000-0003-0274-5260Coppola, GennaroFluid dynamicsMecànica de fluidsÀrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluidsNumerical time integration schemes for Landau-Lifshitz magnetization dynamics are considered. Such dynamics preserves the magnetization amplitude and, in the absence of dissipation, also implies the conservation of the free energy. This property is generally lost when time discretization is performed for the numerical solution. In this work, explicit numerical schemes based on Runge-Kutta methods are introduced. The schemes are termed pseudo-symplectic in that they are accurate to order p, but preserve magnetization amplitude and free energy to order q > p. An effective strategy for adaptive time-stepping control is discussed for schemes of this class. Numerical tests against analytical solutions for the simulation of fast precessional dynamics are performed in order to point out the effectiveness of the proposed methods. This work was carried out in the frame of Program for the Support of Individual Research 2016 funded by University of Naples Parthenope.Peer ReviewedAmerican Institute of Physics (AIP)20182018-05-0120222022-03-24journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/364814https://dx.doi.org/10.1063/1.5007340reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3648142026-05-27T15:37:01Z
dc.title.none.fl_str_mv Efficient adaptive pseudo-symplectic numerical integration techniques for Landau-Lifshitz dynamics
title Efficient adaptive pseudo-symplectic numerical integration techniques for Landau-Lifshitz dynamics
spellingShingle Efficient adaptive pseudo-symplectic numerical integration techniques for Landau-Lifshitz dynamics
Capuano, Francesco|||0000-0003-0274-5260
Fluid dynamics
Mecànica de fluids
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
title_short Efficient adaptive pseudo-symplectic numerical integration techniques for Landau-Lifshitz dynamics
title_full Efficient adaptive pseudo-symplectic numerical integration techniques for Landau-Lifshitz dynamics
title_fullStr Efficient adaptive pseudo-symplectic numerical integration techniques for Landau-Lifshitz dynamics
title_full_unstemmed Efficient adaptive pseudo-symplectic numerical integration techniques for Landau-Lifshitz dynamics
title_sort Efficient adaptive pseudo-symplectic numerical integration techniques for Landau-Lifshitz dynamics
dc.creator.none.fl_str_mv Capuano, Francesco|||0000-0003-0274-5260
Coppola, Gennaro
author Capuano, Francesco|||0000-0003-0274-5260
author_facet Capuano, Francesco|||0000-0003-0274-5260
Coppola, Gennaro
author_role author
author2 Coppola, Gennaro
author2_role author
dc.subject.none.fl_str_mv Fluid dynamics
Mecànica de fluids
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
topic Fluid dynamics
Mecànica de fluids
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
description Numerical time integration schemes for Landau-Lifshitz magnetization dynamics are considered. Such dynamics preserves the magnetization amplitude and, in the absence of dissipation, also implies the conservation of the free energy. This property is generally lost when time discretization is performed for the numerical solution. In this work, explicit numerical schemes based on Runge-Kutta methods are introduced. The schemes are termed pseudo-symplectic in that they are accurate to order p, but preserve magnetization amplitude and free energy to order q > p. An effective strategy for adaptive time-stepping control is discussed for schemes of this class. Numerical tests against analytical solutions for the simulation of fast precessional dynamics are performed in order to point out the effectiveness of the proposed methods. This work was carried out in the frame of Program for the Support of Individual Research 2016 funded by University of Naples Parthenope.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-05-01
2022
2022-03-24
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/364814
https://dx.doi.org/10.1063/1.5007340
url https://hdl.handle.net/2117/364814
https://dx.doi.org/10.1063/1.5007340
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics (AIP)
publisher.none.fl_str_mv American Institute of Physics (AIP)
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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