Multiscale multimodel simulation of micromagnetic singularities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | German |
| Veröffentlicht: |
Jülich
Forschungszentrum Jülich, Zentralbibliothek
2014
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| Schriftenreihe: | Schriften des Forschungszentrums Jülich
Reihe Schlüsseltechnologien ; 88 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XIX, 188 Seiten Illustrationen, Diagramme 24 cm |
| ISBN: | 9783893369836 |
Internformat
MARC
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| 100 | 1 | |a Andreas, Christian |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multiscale multimodel simulation of micromagnetic singularities |c Christian Andreas |
| 264 | 1 | |a Jülich |b Forschungszentrum Jülich, Zentralbibliothek |c 2014 | |
| 300 | |a XIX, 188 Seiten |b Illustrationen, Diagramme |c 24 cm | ||
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| 337 | |b n |2 rdamedia | ||
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| 502 | |b Dissertation |c Universität Duisburg-Essen |d 2014 | ||
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Datensatz im Suchindex
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CONTENTS
1 MOTIVATION 1
PART I. THEORY
2 FUNDAMENTALS OF MICROMAGNETISM AND THE HEISENBERG MODEL 9
2.1 CLASSICAL HEISENBERG MODEL 10
2.1.1 EXCHANGE INTERACTION 11
2.1.2 ZEEMAN ENERGY 11
2.1.3 MAGNETOSTATIC ENERGY 12
2.2 MICROMAGNETIC ENERGY CONTRIBUTIONS 14
2.2.1 EXCHANGE ENERGY 15
2.2.2 ZEEMAN ENERGY 19
2.2.3 DEMAGNETIZING ENERGY 19
2.2.4 ANISOTROPICS 22
2.3 DYNAMICS OF MAGNETIZATION AND MAGNETIC MOMENTS 23
2.3.1 EFFECTIVE FIELD 23
2.3.2 LANDAU-LIFSHITZ-GILBERT EQUATION 25
3 BASIC MICROMAGNETIC STRUCTURES 27
3.1 DOMAIN WALLS 27
3.1.1 BLOCH WALL 28
3.1.2 N6EL WALL 29
3.1.3 HEAD-TO-HEAD DOMAIN WALL 30
3.2 VORTICES 31
3.3 BLOCH POINTS 32
4 ANALYTIC TREATMENT OF BLOCH POINTS 35
4.1 PONTRYAGIN INDEX 37
4.2 MICROMAGNETIC BLOCH POINT EXCHANGE ENERGY DENSITY 38
4.3 DEMAGNETIZING ENERGY 39
4.4 EQUILIBRIUM BLOCH POINT ANGLE Y 41
4.5 BLOCH POINT PROPAGATION * A SIMPLE MODEL 42
4.6 SUMMARY 45
XVII
HTTP://D-NB.INFO/1058377450
PART II. NUMERICS
5 FINITE ELEMENT METHOD 49
5.1 MATHEMATICAL OVERVIEW OF FEM 50
5.1.1 SIMPLEX ELEMENTS 50
5.1.2 SHAPE FUNCTIONS 51
5.1.3 SPATIAL DIFFERENTIATION 51
5.1.4 SPATIAL INTEGRATION 53
5.1.5 LAPLACE OPERATOR 53
5.1.6 DEMAGNETIZATION POTENTIAL 58
5.1.7 SPARSE MATRICES 61
5.2 MAPPING BETWEEN FINITE ELEMENT MESHES 64
5.3 MESH GENERATION 66
6 IMPLEMENTATION 67
6.1 SAMPLE 68
6.2 MULTI-MODEL SPHERE 69
6.2.1 CORE REGION 70
6.2.2 COARSENING 72
6.3 CALOTTES 74
6.4 SYNCHRONIZATION 76
6.5 TIME INTEGRATION OF THE EQUATION OF MOTION 78
6.5.1 TIME INTEGRATOR ROUTINE 81
6.5.2 PROPAGATION 82
6.5.3 MULTI-MODEL SPHERES FOR (POTENTIAL) BLOCH POINTS 82
6.6 EXECUTION PIPELINE 84
7 NUMERICAL STABILITY TESTS 87
7.1 ABRUPT MESH TRANSITIONS 87
7.2 ENERGY ARTIFACTS OF MULTIPLE STRUCTURES 91
PART III. NUMERICAL RESULTS
8 BLOCH POINTS IN NANOWIRES 95
8.1 SPIN WAVE DISPERSION RELATION 96
9 EQUILIBRIUM BLOCH POINT CONFIGURATION 101
10 DEPINNING OF BLOCH POINTS 105
10.1 DIFFERENCES BETWEEN N.N. AND FE-LIKE EXCHANGE INTERACTION IN THE
DY
NAMIC REGIME 107
11 CHIRALITIES OF VORTEX DOMAIN WALLS 109
XVIII
12 BAD CHIRALITY BLOCH POINTS 113
12.1 LOW FIELD REGIME 113
12.2 WALKER BREAKDOWN OF VORTEX DOMAIN WALLS 117
12.2.1 DETAILS OF THE WALKER BREAKDOWN PROCESS 118
12.2.2 WALKER BREAKDOWN FROM A TOPOLOGICAL POINT OF VIEW 121
12.3 CHIRALITY CHANGE 124
12.4 SUMMARY 124
13 GOOD CHIRALITY BLOCH POINTS 127
13.1 SUBMAGNONIC PROPAGATION 129
13.2 LAMINAR SUPERMAGNONIC PROPAGATION 132
13.3 OSCILLATORY SUPERMAGNONIC PROPAGATION 133
13.4 TURBULENT BLOCH POINT PROPAGATION 136
13.5 SUMMARY 139
14 BLOCH POINT POSITIONS INSIDE OF THE LATTICE 141
15 CONCLUSION 145
APPENDIX
LIST OF ABBREVIATIONS 151
ENGLISH RESUME 163
REFERENCES 173
PUBLICATIONS 185
ACKNOWLEDGMENT 187
XIX |
| any_adam_object | 1 |
| author | Andreas, Christian |
| author_facet | Andreas, Christian |
| author_role | aut |
| author_sort | Andreas, Christian |
| author_variant | c a ca |
| building | Verbundindex |
| bvnumber | BV042091954 |
| ctrlnum | (OCoLC)891570807 (DE-599)DNB1058377450 |
| dewey-full | 538.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 538 - Magnetism |
| dewey-raw | 538.3 |
| dewey-search | 538.3 |
| dewey-sort | 3538.3 |
| dewey-tens | 530 - Physics |
| discipline | Physik Allgemeine Naturwissenschaft |
| format | Thesis Book |
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| isbn | 9783893369836 |
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| spelling | Andreas, Christian Verfasser aut Multiscale multimodel simulation of micromagnetic singularities Christian Andreas Jülich Forschungszentrum Jülich, Zentralbibliothek 2014 XIX, 188 Seiten Illustrationen, Diagramme 24 cm txt rdacontent n rdamedia nc rdacarrier Schriften des Forschungszentrums Jülich : Reihe Schlüsseltechnologien 88 Dissertation Universität Duisburg-Essen 2014 Ferromagnetikum (DE-588)4154129-7 gnd rswk-swf Mehrskalenanalyse (DE-588)4416235-2 gnd rswk-swf Multiphysics (DE-588)7675978-7 gnd rswk-swf Mikromagnetismus (DE-588)4606688-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Ferromagnetikum (DE-588)4154129-7 s Mikromagnetismus (DE-588)4606688-3 s Multiphysics (DE-588)7675978-7 s Mehrskalenanalyse (DE-588)4416235-2 s DE-604 Schriften des Forschungszentrums Jülich Reihe Schlüsseltechnologien ; 88 (DE-604)BV023237997 88 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4774025&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027532795&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Andreas, Christian Multiscale multimodel simulation of micromagnetic singularities Schriften des Forschungszentrums Jülich Ferromagnetikum (DE-588)4154129-7 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd Multiphysics (DE-588)7675978-7 gnd Mikromagnetismus (DE-588)4606688-3 gnd |
| subject_GND | (DE-588)4154129-7 (DE-588)4416235-2 (DE-588)7675978-7 (DE-588)4606688-3 (DE-588)4113937-9 |
| title | Multiscale multimodel simulation of micromagnetic singularities |
| title_auth | Multiscale multimodel simulation of micromagnetic singularities |
| title_exact_search | Multiscale multimodel simulation of micromagnetic singularities |
| title_full | Multiscale multimodel simulation of micromagnetic singularities Christian Andreas |
| title_fullStr | Multiscale multimodel simulation of micromagnetic singularities Christian Andreas |
| title_full_unstemmed | Multiscale multimodel simulation of micromagnetic singularities Christian Andreas |
| title_short | Multiscale multimodel simulation of micromagnetic singularities |
| title_sort | multiscale multimodel simulation of micromagnetic singularities |
| topic | Ferromagnetikum (DE-588)4154129-7 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd Multiphysics (DE-588)7675978-7 gnd Mikromagnetismus (DE-588)4606688-3 gnd |
| topic_facet | Ferromagnetikum Mehrskalenanalyse Multiphysics Mikromagnetismus Hochschulschrift |
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