Three-dimensional micromagnetic calculations for magnetite using FFT
An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of submicron parallelepipeds with various elongations. The method of fast Fourier transformation (FFT) has been implemente...
Ausführliche Beschreibung
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| Autor*in: |
Fabian, Karl [verfasserIn] Kirchner, Andreas [verfasserIn] Williams, Wyn [verfasserIn] |
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| Format: |
E-Artikel |
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| Erschienen: |
Oxford, UK: Blackwell Publishing Ltd ; 1996 |
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| Schlagwörter: |
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| Umfang: |
Online-Ressource |
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| Reproduktion: |
2007 ; Blackwell Publishing Journal Backfiles 1879-2005 |
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| Übergeordnetes Werk: |
In: Geophysical journal international - Oxford . Wiley-Blackwell, 1922, 124(1996), 1, Seite 0 |
| Übergeordnetes Werk: |
volume:124 ; year:1996 ; number:1 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1111/j.1365-246X.1996.tb06354.x |
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| 520 | |a An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of submicron parallelepipeds with various elongations. The method of fast Fourier transformation (FFT) has been implemented in three dimensions to accelerate the computation of the magnetostatic energy and its gradient, assuming constant magnetization for each subcube of the model. A 3-D implementation of the exchange energy and its gradient, using a five-point formula to approximate the Laplace operator, was chosen. Special attention has been paid to single-domain (SD) or flower states and pseudo-single-domain (PSD) configurations. A circular configuration, called vortex state, has been found to have the lowest energy of various PSD states. As a local energy minimum (LEM), the free energy of the vortex state is compared to that of a single-domain state. A comparison of these energies is used to determine a lower and an upper threshold size for the SD to PSD transition. In the interval between these two threshold sizes both configurations, SD and PSD, coexist. Above the upper threshold size we found metastable double-vortex configurations which seem to represent three-domain structures with closure domains. | ||
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10.1111/j.1365-246X.1996.tb06354.x doi (DE-627)NLEJ239644557 DE-627 ger DE-627 rakwb Fabian, Karl verfasserin aut Three-dimensional micromagnetic calculations for magnetite using FFT Oxford, UK Blackwell Publishing Ltd 1996 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of submicron parallelepipeds with various elongations. The method of fast Fourier transformation (FFT) has been implemented in three dimensions to accelerate the computation of the magnetostatic energy and its gradient, assuming constant magnetization for each subcube of the model. A 3-D implementation of the exchange energy and its gradient, using a five-point formula to approximate the Laplace operator, was chosen. Special attention has been paid to single-domain (SD) or flower states and pseudo-single-domain (PSD) configurations. A circular configuration, called vortex state, has been found to have the lowest energy of various PSD states. As a local energy minimum (LEM), the free energy of the vortex state is compared to that of a single-domain state. A comparison of these energies is used to determine a lower and an upper threshold size for the SD to PSD transition. In the interval between these two threshold sizes both configurations, SD and PSD, coexist. Above the upper threshold size we found metastable double-vortex configurations which seem to represent three-domain structures with closure domains. 2007 Blackwell Publishing Journal Backfiles 1879-2005 |2007|||||||||| Fourier transforms Kirchner, Andreas verfasserin aut Williams, Wyn verfasserin aut Heider, Franz oth Leibl, Thomas oth Huber, Alex oth In Geophysical journal international Oxford . Wiley-Blackwell, 1922 124(1996), 1, Seite 0 Online-Ressource (DE-627)NLEJ243927827 (DE-600)2006420-2 1365-246X nnns volume:124 year:1996 number:1 pages:0 http://dx.doi.org/10.1111/j.1365-246X.1996.tb06354.x text/html Verlag Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-DJB GBV_NL_ARTICLE AR 124 1996 1 0 |
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10.1111/j.1365-246X.1996.tb06354.x doi (DE-627)NLEJ239644557 DE-627 ger DE-627 rakwb Fabian, Karl verfasserin aut Three-dimensional micromagnetic calculations for magnetite using FFT Oxford, UK Blackwell Publishing Ltd 1996 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of submicron parallelepipeds with various elongations. The method of fast Fourier transformation (FFT) has been implemented in three dimensions to accelerate the computation of the magnetostatic energy and its gradient, assuming constant magnetization for each subcube of the model. A 3-D implementation of the exchange energy and its gradient, using a five-point formula to approximate the Laplace operator, was chosen. Special attention has been paid to single-domain (SD) or flower states and pseudo-single-domain (PSD) configurations. A circular configuration, called vortex state, has been found to have the lowest energy of various PSD states. As a local energy minimum (LEM), the free energy of the vortex state is compared to that of a single-domain state. A comparison of these energies is used to determine a lower and an upper threshold size for the SD to PSD transition. In the interval between these two threshold sizes both configurations, SD and PSD, coexist. Above the upper threshold size we found metastable double-vortex configurations which seem to represent three-domain structures with closure domains. 2007 Blackwell Publishing Journal Backfiles 1879-2005 |2007|||||||||| Fourier transforms Kirchner, Andreas verfasserin aut Williams, Wyn verfasserin aut Heider, Franz oth Leibl, Thomas oth Huber, Alex oth In Geophysical journal international Oxford . Wiley-Blackwell, 1922 124(1996), 1, Seite 0 Online-Ressource (DE-627)NLEJ243927827 (DE-600)2006420-2 1365-246X nnns volume:124 year:1996 number:1 pages:0 http://dx.doi.org/10.1111/j.1365-246X.1996.tb06354.x text/html Verlag Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-DJB GBV_NL_ARTICLE AR 124 1996 1 0 |
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10.1111/j.1365-246X.1996.tb06354.x doi (DE-627)NLEJ239644557 DE-627 ger DE-627 rakwb Fabian, Karl verfasserin aut Three-dimensional micromagnetic calculations for magnetite using FFT Oxford, UK Blackwell Publishing Ltd 1996 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of submicron parallelepipeds with various elongations. The method of fast Fourier transformation (FFT) has been implemented in three dimensions to accelerate the computation of the magnetostatic energy and its gradient, assuming constant magnetization for each subcube of the model. A 3-D implementation of the exchange energy and its gradient, using a five-point formula to approximate the Laplace operator, was chosen. Special attention has been paid to single-domain (SD) or flower states and pseudo-single-domain (PSD) configurations. A circular configuration, called vortex state, has been found to have the lowest energy of various PSD states. As a local energy minimum (LEM), the free energy of the vortex state is compared to that of a single-domain state. A comparison of these energies is used to determine a lower and an upper threshold size for the SD to PSD transition. In the interval between these two threshold sizes both configurations, SD and PSD, coexist. Above the upper threshold size we found metastable double-vortex configurations which seem to represent three-domain structures with closure domains. 2007 Blackwell Publishing Journal Backfiles 1879-2005 |2007|||||||||| Fourier transforms Kirchner, Andreas verfasserin aut Williams, Wyn verfasserin aut Heider, Franz oth Leibl, Thomas oth Huber, Alex oth In Geophysical journal international Oxford . Wiley-Blackwell, 1922 124(1996), 1, Seite 0 Online-Ressource (DE-627)NLEJ243927827 (DE-600)2006420-2 1365-246X nnns volume:124 year:1996 number:1 pages:0 http://dx.doi.org/10.1111/j.1365-246X.1996.tb06354.x text/html Verlag Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-DJB GBV_NL_ARTICLE AR 124 1996 1 0 |
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10.1111/j.1365-246X.1996.tb06354.x doi (DE-627)NLEJ239644557 DE-627 ger DE-627 rakwb Fabian, Karl verfasserin aut Three-dimensional micromagnetic calculations for magnetite using FFT Oxford, UK Blackwell Publishing Ltd 1996 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of submicron parallelepipeds with various elongations. The method of fast Fourier transformation (FFT) has been implemented in three dimensions to accelerate the computation of the magnetostatic energy and its gradient, assuming constant magnetization for each subcube of the model. A 3-D implementation of the exchange energy and its gradient, using a five-point formula to approximate the Laplace operator, was chosen. Special attention has been paid to single-domain (SD) or flower states and pseudo-single-domain (PSD) configurations. A circular configuration, called vortex state, has been found to have the lowest energy of various PSD states. As a local energy minimum (LEM), the free energy of the vortex state is compared to that of a single-domain state. A comparison of these energies is used to determine a lower and an upper threshold size for the SD to PSD transition. In the interval between these two threshold sizes both configurations, SD and PSD, coexist. Above the upper threshold size we found metastable double-vortex configurations which seem to represent three-domain structures with closure domains. 2007 Blackwell Publishing Journal Backfiles 1879-2005 |2007|||||||||| Fourier transforms Kirchner, Andreas verfasserin aut Williams, Wyn verfasserin aut Heider, Franz oth Leibl, Thomas oth Huber, Alex oth In Geophysical journal international Oxford . Wiley-Blackwell, 1922 124(1996), 1, Seite 0 Online-Ressource (DE-627)NLEJ243927827 (DE-600)2006420-2 1365-246X nnns volume:124 year:1996 number:1 pages:0 http://dx.doi.org/10.1111/j.1365-246X.1996.tb06354.x text/html Verlag Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-DJB GBV_NL_ARTICLE AR 124 1996 1 0 |
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10.1111/j.1365-246X.1996.tb06354.x doi (DE-627)NLEJ239644557 DE-627 ger DE-627 rakwb Fabian, Karl verfasserin aut Three-dimensional micromagnetic calculations for magnetite using FFT Oxford, UK Blackwell Publishing Ltd 1996 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of submicron parallelepipeds with various elongations. The method of fast Fourier transformation (FFT) has been implemented in three dimensions to accelerate the computation of the magnetostatic energy and its gradient, assuming constant magnetization for each subcube of the model. A 3-D implementation of the exchange energy and its gradient, using a five-point formula to approximate the Laplace operator, was chosen. Special attention has been paid to single-domain (SD) or flower states and pseudo-single-domain (PSD) configurations. A circular configuration, called vortex state, has been found to have the lowest energy of various PSD states. As a local energy minimum (LEM), the free energy of the vortex state is compared to that of a single-domain state. A comparison of these energies is used to determine a lower and an upper threshold size for the SD to PSD transition. In the interval between these two threshold sizes both configurations, SD and PSD, coexist. Above the upper threshold size we found metastable double-vortex configurations which seem to represent three-domain structures with closure domains. 2007 Blackwell Publishing Journal Backfiles 1879-2005 |2007|||||||||| Fourier transforms Kirchner, Andreas verfasserin aut Williams, Wyn verfasserin aut Heider, Franz oth Leibl, Thomas oth Huber, Alex oth In Geophysical journal international Oxford . Wiley-Blackwell, 1922 124(1996), 1, Seite 0 Online-Ressource (DE-627)NLEJ243927827 (DE-600)2006420-2 1365-246X nnns volume:124 year:1996 number:1 pages:0 http://dx.doi.org/10.1111/j.1365-246X.1996.tb06354.x text/html Verlag Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-DJB GBV_NL_ARTICLE AR 124 1996 1 0 |
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Three-dimensional micromagnetic calculations for magnetite using FFT |
| abstract |
An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of submicron parallelepipeds with various elongations. The method of fast Fourier transformation (FFT) has been implemented in three dimensions to accelerate the computation of the magnetostatic energy and its gradient, assuming constant magnetization for each subcube of the model. A 3-D implementation of the exchange energy and its gradient, using a five-point formula to approximate the Laplace operator, was chosen. Special attention has been paid to single-domain (SD) or flower states and pseudo-single-domain (PSD) configurations. A circular configuration, called vortex state, has been found to have the lowest energy of various PSD states. As a local energy minimum (LEM), the free energy of the vortex state is compared to that of a single-domain state. A comparison of these energies is used to determine a lower and an upper threshold size for the SD to PSD transition. In the interval between these two threshold sizes both configurations, SD and PSD, coexist. Above the upper threshold size we found metastable double-vortex configurations which seem to represent three-domain structures with closure domains. |
| abstractGer |
An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of submicron parallelepipeds with various elongations. The method of fast Fourier transformation (FFT) has been implemented in three dimensions to accelerate the computation of the magnetostatic energy and its gradient, assuming constant magnetization for each subcube of the model. A 3-D implementation of the exchange energy and its gradient, using a five-point formula to approximate the Laplace operator, was chosen. Special attention has been paid to single-domain (SD) or flower states and pseudo-single-domain (PSD) configurations. A circular configuration, called vortex state, has been found to have the lowest energy of various PSD states. As a local energy minimum (LEM), the free energy of the vortex state is compared to that of a single-domain state. A comparison of these energies is used to determine a lower and an upper threshold size for the SD to PSD transition. In the interval between these two threshold sizes both configurations, SD and PSD, coexist. Above the upper threshold size we found metastable double-vortex configurations which seem to represent three-domain structures with closure domains. |
| abstract_unstemmed |
An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of submicron parallelepipeds with various elongations. The method of fast Fourier transformation (FFT) has been implemented in three dimensions to accelerate the computation of the magnetostatic energy and its gradient, assuming constant magnetization for each subcube of the model. A 3-D implementation of the exchange energy and its gradient, using a five-point formula to approximate the Laplace operator, was chosen. Special attention has been paid to single-domain (SD) or flower states and pseudo-single-domain (PSD) configurations. A circular configuration, called vortex state, has been found to have the lowest energy of various PSD states. As a local energy minimum (LEM), the free energy of the vortex state is compared to that of a single-domain state. A comparison of these energies is used to determine a lower and an upper threshold size for the SD to PSD transition. In the interval between these two threshold sizes both configurations, SD and PSD, coexist. Above the upper threshold size we found metastable double-vortex configurations which seem to represent three-domain structures with closure domains. |
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Three-dimensional micromagnetic calculations for magnetite using FFT |
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http://dx.doi.org/10.1111/j.1365-246X.1996.tb06354.x |
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| author2 |
Kirchner, Andreas Williams, Wyn Heider, Franz Leibl, Thomas Huber, Alex |
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Kirchner, Andreas Williams, Wyn Heider, Franz Leibl, Thomas Huber, Alex |
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NLEJ243927827 |
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| doi_str |
10.1111/j.1365-246X.1996.tb06354.x |
| up_date |
2024-07-06T07:58:33.916Z |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">NLEJ239644557</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210707092108.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">120426s1996 xx |||||o 00| ||und c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1111/j.1365-246X.1996.tb06354.x</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ239644557</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Fabian, Karl</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Three-dimensional micromagnetic calculations for magnetite using FFT</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Oxford, UK</subfield><subfield code="b">Blackwell Publishing Ltd</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">An unconstrained 3-D micromagnetic model for magnetite grains with resolutions up to 23 × 23 × 63 is presented. The model has been used to investigate the magnetic domain states of submicron parallelepipeds with various elongations. The method of fast Fourier transformation (FFT) has been implemented in three dimensions to accelerate the computation of the magnetostatic energy and its gradient, assuming constant magnetization for each subcube of the model. A 3-D implementation of the exchange energy and its gradient, using a five-point formula to approximate the Laplace operator, was chosen. Special attention has been paid to single-domain (SD) or flower states and pseudo-single-domain (PSD) configurations. A circular configuration, called vortex state, has been found to have the lowest energy of various PSD states. As a local energy minimum (LEM), the free energy of the vortex state is compared to that of a single-domain state. A comparison of these energies is used to determine a lower and an upper threshold size for the SD to PSD transition. In the interval between these two threshold sizes both configurations, SD and PSD, coexist. 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Wiley-Blackwell, 1922</subfield><subfield code="g">124(1996), 1, Seite 0</subfield><subfield code="h">Online-Ressource</subfield><subfield code="w">(DE-627)NLEJ243927827</subfield><subfield code="w">(DE-600)2006420-2</subfield><subfield code="x">1365-246X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:124</subfield><subfield code="g">year:1996</subfield><subfield code="g">number:1</subfield><subfield code="g">pages:0</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://dx.doi.org/10.1111/j.1365-246X.1996.tb06354.x</subfield><subfield code="q">text/html</subfield><subfield code="x">Verlag</subfield><subfield code="z">Deutschlandweit zugänglich</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-DJB</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">124</subfield><subfield code="j">1996</subfield><subfield code="e">1</subfield><subfield code="h">0</subfield></datafield></record></collection>
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