Pattern formation in diffusion-limited crystal growth:
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
1993
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aachen, Techn. Hochsch., Habil.-Schr., 1993 |
| Physical Description: | 217, [81] S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a Pattern formation in diffusion-limited crystal growth |c vorgelegt von Klaus Kassner |
| 264 | 1 | |c 1993 | |
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Record in the Search Index
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CONTENTS
1 INTRODUCTION 3
2 EXPERIMENTS AND GROWTH MECHANISMS 9
2.1 FREE VERSUS DIRECTIONAL GROWTH. 9
EXPERIMENTS ON FREE GROWTH. 11
EXPERIMENTS ON DIRECTIONAL GROWTH . 13
2.2 GROWTH MECHANISMS . 16
DILUTE BINARY ALLOYS. 16
EUTECTIC GROWTH. 18
3 SEMI MICROSCOPIC GROWTH MODELS 20
3.1 DIFFUSION-LIMITED AGGREGATION . 22
NOISELESS DIFFUSION-LIMITED AGGREGATION . 26
3.2 PARTICLE MODELS FOR CRYSTAL GROWTH . 31
LEADING-EDGE GROWTH. 32
MORPHOLOGY TRANSITIONS. 37
4 MACROSCOPIC CONTINUUM MODELS 43
4.1 DEFINING EQUATIONS. 44
FREE GROWTH. 44
DIRECTIONAL SOLIDIFICATION OF DILUTE ALLOYS. 47
LAMELLAR EUTECTIC GROWTH. 48
4.2 BOUNDARY INTEGRAL EQUATION . 51
QUASISTATIONARY APPROXIMATION. 58
4.3 CHARACTERISTIC SOLUTIONS AND STABILITY CONSIDERATIONS. 60
IVANTSOV PARABOLA AND NEEDLE CRYSTALS. 60
PLANAR INTERFACE SOLUTIONS . 62
STABILITY OF THE STEADY-STATE PLANAR FRONT SOLUTION . 64
5 NUMERICAL APPROACH 71
5.1 DISCRETIZATION. 71
5.2 DYNAMICAL CODE . 74
5.3 STATIONARY CODE . 75
6 SELECTION PROBLEMS 79
6.1 SOLVABILITY THEORY . 79
THE REGULAR SHAPE CORRECTION. 81
ABSENCE OF STEADY-STATE SOLUTIONS FOR ISOTROPIC SURFACE
TENSION . 85
ANISOTROPIC SURFACE TENSION. 88
1
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/941836037
DIRECTIONAL SOLIDIFICATION. 91
6.2 NUMERICAL EVIDENCE . 93
6.3 EXPERIMENTAL EVIDENCE AND DISCUSSION . 94
7 ANALYTIC THEORY OF MORPHOLOGY DIAGRAM 98
8 LAMELLAR EUTECTICS 104
8.1 THE JACKSON-HUNT THEORY .107
8.2 NUMERICAL RESULTS FOR AXISYMMETRIC GROWTH - COMPARISON WITH
THE JACKSON-HUNT THEORY.ILL
8.3 PARITY BREAKING.117
8.4 SIMILARITY EQUATION.125
8.5 CONSEQUENCES OF SIMILARITY - SCALING LAWS.134
8.6 ANISOTROPY EFFECTS .140
8.7 COUPLING BETWEEN PHASE DYNAMICS AND TILT ANGLE .143
CONSTANT-WIDTH DOMAINS.147
~ EXPANDING AND SHRINKING DOMAINS.149
PREFERRED DIRECTION OF THE TILT ANGLE.154
9 LIQUID CRYSTALS 156
9.1 LOCAL DESCRIPTION.158
9.2 CHARACTERISTIC SOLUTIONS AND STABILITY CONSIDERATIONS.164
9.3 SMALL ASPECT RATIO: TRANSITION TO CHAOS.170
9.4 AMPLITUDE EQUATIONS - PHASE CHAOS.177
9.5 INTERMEDIATE ASPECT RATIOS.181
10 CONCLUSIONS AND OUTLOOK 185
ACKNOWLEDGMENTS 188
A GLOBAL MASS CONSERVATION IN TILTED EUTECTIC GROWTH 189
B CONVERGENCE CONSIDERATIONS 191
REFERENCES 196
2 |
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| institution | BVB |
| language | English |
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| physical | 217, [81] S. Ill., graph. Darst. |
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| spelling | Kassner, Klaus Verfasser aut Pattern formation in diffusion-limited crystal growth vorgelegt von Klaus Kassner 1993 217, [81] S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aachen, Techn. Hochsch., Habil.-Schr., 1993 Kristallwachstum (DE-588)4123579-4 gnd rswk-swf Musterbildung (DE-588)4137934-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Kristallwachstum (DE-588)4123579-4 s Musterbildung (DE-588)4137934-2 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006478226&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kassner, Klaus Pattern formation in diffusion-limited crystal growth Kristallwachstum (DE-588)4123579-4 gnd Musterbildung (DE-588)4137934-2 gnd |
| subject_GND | (DE-588)4123579-4 (DE-588)4137934-2 (DE-588)4113937-9 |
| title | Pattern formation in diffusion-limited crystal growth |
| title_auth | Pattern formation in diffusion-limited crystal growth |
| title_exact_search | Pattern formation in diffusion-limited crystal growth |
| title_full | Pattern formation in diffusion-limited crystal growth vorgelegt von Klaus Kassner |
| title_fullStr | Pattern formation in diffusion-limited crystal growth vorgelegt von Klaus Kassner |
| title_full_unstemmed | Pattern formation in diffusion-limited crystal growth vorgelegt von Klaus Kassner |
| title_short | Pattern formation in diffusion-limited crystal growth |
| title_sort | pattern formation in diffusion limited crystal growth |
| topic | Kristallwachstum (DE-588)4123579-4 gnd Musterbildung (DE-588)4137934-2 gnd |
| topic_facet | Kristallwachstum Musterbildung Hochschulschrift |
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