Phase-field crystals: fast interface dynamics
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2019]
|
| Schriftenreihe: | De Gruyter Studies in Mathematical Physics
Volume 51 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | Enthält Literaturverzeichnis (Seite [113] - 120) und Index |
| Beschreibung: | VII, 122 Seiten Illustrationen, Diagramme |
| ISBN: | 9783110585971 |
Internformat
MARC
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| 020 | |a 9783110585971 |c Festeinband |9 978-3-11-058597-1 | ||
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| 100 | 1 | |a Galenko, Peter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Phase-field crystals |b fast interface dynamics |c Peter Galenko, Vladimir Ankudinov, and Ilya Starodumov |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2019] | |
| 264 | 4 | |c © 2019 | |
| 300 | |a VII, 122 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter Studies in Mathematical Physics |v Volume 51 | |
| 500 | |a Enthält Literaturverzeichnis (Seite [113] - 120) und Index | ||
| 650 | 0 | 7 | |a Kristall |0 (DE-588)4033209-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Phasenfeldmodell |0 (DE-588)4736241-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Phasenfeldmodell |0 (DE-588)4736241-8 |D s |
| 689 | 0 | 1 | |a Kristall |0 (DE-588)4033209-3 |D s |
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| 700 | 1 | |a Ankudinov, Vladimir |e Verfasser |4 aut | |
| 700 | 1 | |a Starodumov, Ilya |e Verfasser |4 aut | |
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| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-058653-4 |
| 830 | 0 | |a De Gruyter Studies in Mathematical Physics |v Volume 51 |w (DE-604)BV040141722 |9 51 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-030686882 | ||
Datensatz im Suchindex
| _version_ | 1804179083924340736 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION
-----
V
ACKNOWLEDGMENTS
-----
IX
1 THEORY
-----
1
1.1 COARSE GRAINING FOR FAST DYNAMICS OF ORDER PARAMETERS
-----
1
1.1.1 MASTER EQUATIONS
-----
1
1.1.2 COARSE-GRAINED CONCENTRATION, ATOMIC NUMBER DENSITY
-----
5
1.2 FAST DYNAMICS FOR THE PHASE-FIELD MODELS
-----
10
1.2.1 APPROACHES TO THE DESCRIPTION OF FAST TRANSITIONS
-----
10
1.2.2 ECKHAUS INSTABILITY
-----
17
1.3 TRAVELING WAVES IN PHASE-FIELD CRYSTALS
------
28
1.3.1 ANALYTICAL SOLUTION FOR TRAVELING WAVES
------
28
1.3.2 TRIANGLE STRUCTURE
-----
35
2 MODELING
-----
37
2.1 EQUILIBRIUM DIAGRAMS
-------
37
2.1.1 TWO-DIMENSIONAL STRUCTURES
------
40
2.1.2 THREE-DIMENSIONAL LATTICES
------
44
2.2 NUMERICAL SOLUTIONS
-----
50
2.2.1 TWO-DIMENSIONAL STRUCTURES
------
50
2.2.2 THREE-DIMENSIONAL CASE
------
53
2.3 METASTABLE STRUCTURES
-------
54
2.3.1 MARGINAL STABILITY ANALYSIS
------
54
2.3.2 DISTORTED PATTERNS
-----
67
2.3.3 EFFECT OF THE NOISE
-----
73
2.4 STABILITY OF THE NUMERICAL SCHEME
-----
75
2.4.1 EYRE THEOREM
-----
75
2.4.2 ONE USEFUL CONSEQUENCE
------
80
2.4.3 UNCONDITIONALLY STABLE ALGORITHMS
-----
80
2.4.4 LAGRANGE FINITE ELEMENTS
------
90
2.4.5 ISOGEOMETRIC ANALYSIS
------
98
2.4.6 INFLUENCE OF COMPUTATIONAL PARAMETERS
-----
100
CONCLUSIONS AND OUTLOOK
-----
105
DEFINITIONS AND ABBREVIATIONS
-----
109
BIBLIOGRAPHY
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113
INDEX
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121
|
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| author | Galenko, Peter Ankudinov, Vladimir Starodumov, Ilya |
| author_facet | Galenko, Peter Ankudinov, Vladimir Starodumov, Ilya |
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| building | Verbundindex |
| bvnumber | BV045299720 |
| classification_rvk | UQ 4300 |
| ctrlnum | (OCoLC)1073022662 (DE-599)DNB1171156901 |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV045299720 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:14:14Z |
| institution | BVB |
| isbn | 9783110585971 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030686882 |
| oclc_num | 1073022662 |
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| owner | DE-19 DE-BY-UBM |
| owner_facet | DE-19 DE-BY-UBM |
| physical | VII, 122 Seiten Illustrationen, Diagramme |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter Studies in Mathematical Physics |
| series2 | De Gruyter Studies in Mathematical Physics |
| spelling | Galenko, Peter Verfasser aut Phase-field crystals fast interface dynamics Peter Galenko, Vladimir Ankudinov, and Ilya Starodumov Berlin ; Boston De Gruyter [2019] © 2019 VII, 122 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier De Gruyter Studies in Mathematical Physics Volume 51 Enthält Literaturverzeichnis (Seite [113] - 120) und Index Kristall (DE-588)4033209-3 gnd rswk-swf Phasenfeldmodell (DE-588)4736241-8 gnd rswk-swf Phasenfeldmodell (DE-588)4736241-8 s Kristall (DE-588)4033209-3 s DE-604 Ankudinov, Vladimir Verfasser aut Starodumov, Ilya Verfasser aut Erscheint auch als Online-Ausgabe, PDF 978-3-11-058809-5 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-058653-4 De Gruyter Studies in Mathematical Physics Volume 51 (DE-604)BV040141722 51 B:DE-101 application/pdf http://d-nb.info/1171156901/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030686882&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Galenko, Peter Ankudinov, Vladimir Starodumov, Ilya Phase-field crystals fast interface dynamics De Gruyter Studies in Mathematical Physics Kristall (DE-588)4033209-3 gnd Phasenfeldmodell (DE-588)4736241-8 gnd |
| subject_GND | (DE-588)4033209-3 (DE-588)4736241-8 |
| title | Phase-field crystals fast interface dynamics |
| title_auth | Phase-field crystals fast interface dynamics |
| title_exact_search | Phase-field crystals fast interface dynamics |
| title_full | Phase-field crystals fast interface dynamics Peter Galenko, Vladimir Ankudinov, and Ilya Starodumov |
| title_fullStr | Phase-field crystals fast interface dynamics Peter Galenko, Vladimir Ankudinov, and Ilya Starodumov |
| title_full_unstemmed | Phase-field crystals fast interface dynamics Peter Galenko, Vladimir Ankudinov, and Ilya Starodumov |
| title_short | Phase-field crystals |
| title_sort | phase field crystals fast interface dynamics |
| title_sub | fast interface dynamics |
| topic | Kristall (DE-588)4033209-3 gnd Phasenfeldmodell (DE-588)4736241-8 gnd |
| topic_facet | Kristall Phasenfeldmodell |
| url | http://d-nb.info/1171156901/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030686882&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV040141722 |
| work_keys_str_mv | AT galenkopeter phasefieldcrystalsfastinterfacedynamics AT ankudinovvladimir phasefieldcrystalsfastinterfacedynamics AT starodumovilya phasefieldcrystalsfastinterfacedynamics |
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