Stochastic surface growth:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2003
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | München, Univ., Diss., 2003 |
| Beschreibung: | VI, 143 S. graph. Darst. |
Internformat
MARC
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| 245 | 1 | 0 | |a Stochastic surface growth |c von Michael Prähofer |
| 264 | 1 | |c 2003 | |
| 300 | |a VI, 143 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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CONTENTS
1 INTRODUCTION 1
1.1 KPZ THEORY. 2
1.2 EXACTLY SOLVABLE MODELS . 4
1.3 OUTLINE . 6
ACKNOWLEDGMENTS. 7
2 SELF-SIMILAR SURFACE GROWTH
2.1 DETERMINISTIC DYNAMICS.
2.1.1 CONVEX GROWTH, LAST PASSAGE PERCOLATION
2.1.2 SADDLE-LIKE GROWTH.
2.2 PERTURBATIONS AROUND THE DETERMINISTIC SHAPE . .
2.3 STOCHASTIC SURFACE GROWTH.
2.3.1 STATIONARY GROWTH.
2.3.2 EXTENDED SELF-AFFINITY.
2.4 UNIVERSALITY.
2.5 SPACE-TIME DESCRIPTION.
2.6 THE DRIVEN 2D ISING CORNER - A SIMPLE APPLICATION
9
9
11
13
14
16
16
20
23
27
28
3 THE (L+L)-DIMENSIONAL PNG MODEL 31
3.1 THE PNG DROPLET. 35
3.1.1 ULAM'S PROBLEM. 36
3.1.2 ORTHOGONAL POLYNOMIALS. 41
3.2 FLAT INITIAL CONDITIONS, OTHER SYMMETRY RESTRICTIONS. 43
3.3 THE STATIONARY TWO-POINT FUNCTION . 46
3.3.1 CONVEXITY OF THE SCALING FUNCTION. 47
3.3.2 THE DISTRIBUTION OF HEIGHT DIFFERENCES. 49
3.3.3 THE SCALING LIMIT OF THE HEIGHT DISTRIBUTION. 51
3.3.4 DISCUSSION OF THE SCALING FUNCTION. 54
V
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/969159803
VI
CONTENTS
4 THE BERNOULLI CONE 59
4.1 THE DIRECTED BOND PERCOLATION CLUSTER. 59
4.2 THE PNG LIMIT. 68
4.3 THE TASEP LIMIT. 69
4.4 STATIONARITY. 70
4.5 THE GENERATOR OF ASYMPTOTICS. 73
5 THE MULTI-LAYER PNG MODEL 75
5.1 THE AIRY PROCESS. 76
5.2 THE MULTI-LAYER PNG DROPLET. 77
5.3 THE SCALING LIMIT . 85
6 ANISOTROPIC GROWTH 89
6.1 THE GATES-WESTCOTT MODEL. 91
6.2 THE STEADY STATE. 92
6.3 THE FERMION PICTURE AND THE INFINITE VOLUME LIMIT. 94
6.4 SLOPE, GROWTH VELOCITY, AND TWO POINT CORRELATIONS. 97
7 MODELS IN HIGHER DIMENSIONS 103
7.1 THE ISOTROPIC PNG DROPLET.103
7.2 PNG MODELS WITH GENERAL ISLAND SHAPE.105
7.3 MONTE CARLO SIMULATIONS ON A FLAT SUBSTRATE .107
7.4 2+1 DIMENSIONAL TRIANGLE PNG DROPLET.114
7.5 SUMMARY OF THE NUMERICAL RESULTS .119
A ORTHOGONAL POLYNOMIAL IDENTITIES 121
B TAYLOR EXPANSION METHOD FOR PAINLEVE II 127
BIBLIOGRAPHY 133 |
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| indexdate | 2024-11-22T17:38:24Z |
| institution | BVB |
| language | English |
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| physical | VI, 143 S. graph. Darst. |
| publishDate | 2003 |
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| spelling | Prähofer, Michael Verfasser aut Stochastic surface growth von Michael Prähofer 2003 VI, 143 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Univ., Diss., 2003 Wachstumsprozess (DE-588)4188803-0 gnd rswk-swf Oberfläche (DE-588)4042907-6 gnd rswk-swf Irreversibler Prozess (DE-588)4027687-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Oberfläche (DE-588)4042907-6 s Wachstumsprozess (DE-588)4188803-0 s Irreversibler Prozess (DE-588)4027687-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010577275&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Prähofer, Michael Stochastic surface growth Wachstumsprozess (DE-588)4188803-0 gnd Oberfläche (DE-588)4042907-6 gnd Irreversibler Prozess (DE-588)4027687-9 gnd |
| subject_GND | (DE-588)4188803-0 (DE-588)4042907-6 (DE-588)4027687-9 (DE-588)4113937-9 |
| title | Stochastic surface growth |
| title_auth | Stochastic surface growth |
| title_exact_search | Stochastic surface growth |
| title_full | Stochastic surface growth von Michael Prähofer |
| title_fullStr | Stochastic surface growth von Michael Prähofer |
| title_full_unstemmed | Stochastic surface growth von Michael Prähofer |
| title_short | Stochastic surface growth |
| title_sort | stochastic surface growth |
| topic | Wachstumsprozess (DE-588)4188803-0 gnd Oberfläche (DE-588)4042907-6 gnd Irreversibler Prozess (DE-588)4027687-9 gnd |
| topic_facet | Wachstumsprozess Oberfläche Irreversibler Prozess Hochschulschrift |
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