A random walk through fractal dimensions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Weinheim u.a.
VCH
1989
|
| Edition: | 1. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XXV, 421 S. Ill., graph. Darst. |
| ISBN: | 0895734966 352726468X 3527278761 0895738880 |
Staff View
MARC
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| 100 | 1 | |a Kaye, Brian H. |d 1932- |e Verfasser |0 (DE-588)115458174 |4 aut | |
| 245 | 1 | 0 | |a A random walk through fractal dimensions |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Weinheim u.a. |b VCH |c 1989 | |
| 300 | |a XXV, 421 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 7 | |a Marches aléatoires (mathématiques) |2 ram | |
| 650 | 4 | |a Promenades aléatoires (Mathématiques) | |
| 650 | 4 | |a fractale | |
| 650 | 4 | |a géométrie fractale | |
| 650 | 4 | |a marche aléatoire | |
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Record in the Search Index
| _version_ | 1804116326997819392 |
|---|---|
| adam_text | Contents
Word Finder XIV
Coloured Plates XVII
1 A Starting Point for the Randomwalk 1
References 11
2 Fractal Description of Fineparticle Boundaries 13
2.1 The Fractal Dimensions of a Famous Carbonblack Profile 13
2.2 The Dangerous Art of Extrapolation for Predicting Physical Phenomena 20
2.3 Discovering Texture Fractals 25
2.4 Experimental Methods for Characterizing Fineparticle Boundaries 38
References 53
3 What Use are Fractals? 57
3.1 Elegance and Utility of Fractal Dimensions 57
3.2 Fractal Description of Powder Metal Grains and Special Metal Crystals 57
3.3 Fractals and the Flow of Dry Powders 73
3.4 Fractals in the Mining Industry 75
3.5 Fractal Structure of Cosmic Fineparticles 90
3.6 Fractal Structure of Some Types of Sand Grains 92
3.7 Fractal Structure of Some Respirable Dusts 95
3.7.1 What is the Technical Meaning of Respirable Dust? 95
3.7.2 Is Fumed Silica a Respirable Hazard? 103
3.7.3 Dust from Nuclear Reactor Systems 104
3.7.4 Fuse Fumes and Welding Dust 106
3.7.5 Characteristics of Dust Generated by Explosions 107
3.7.6 Diesel Soot and Fumed Pigments 109
3.7.7 Fractal Specimens of Flyash 113
3.8 Polymer Grains and Rubber Crumbs 116
3.9 Fineparticle Look Alikes 117
References 124
4 Delinquent Coins and Staggering Drunks 129
4.1 A Capricious Selection of Terms that Describe Random Events 129
4.2 Chance, Probability and Error 134
4.3 Monte Carlo Technique for Studying Stochastic Processes 137
4.4 Randomwalks in One Dimensional Space 140
4.5 Delinquent Coins and Cantorian Dusts 144
4.6 The Devil s Staircase and Crystal Structure 150
XII Contents ___
4.7 Pin ball Machines and Some Random Thoughts on the Philosophical
Significance of Fractal Dimensions 151
4.8 Plumes with Fractal Boundaries 163
4.9 Gaussian Graph Paper, Fractal Distributions and
Elephants in the Face Powder 164
References 168
5 Fractal Systems Generated by Randomwalks in
Two Dimensional Space 171
5.1 Randomwalks on a Rectangular Lattice in Two Dimensional Space 171
5.2 The Use of Polar Co ordinates to Describe
Random Progress in Two Dimensional Space 179
5.3 Randomwalk Modelling of Fractal Deposits in Two Dimensional Space 188
5.4 Pigmented Coatings and Percolating Systems 212
5.5 Mathematical Description of Fractal Clusters 222
5.6 Percolating Pathways and Scaling Properties 228
5.7 The Fractal Structure of Clusters Generated by
Diffusion Limited Aggregation (DLA) 245
References 255
6 Vanishing Carpets, Fractal Felts and Dendritic Capture Trees 261
6.1 Sierpinski Carpets and Swiss Cheese 261
6.2 A Fractal Description of the Deposition Efficiency of Simulated
Pesticide Spray Systems 266
6.3 Sierpinski Fractal Description of Real Dispersed Systems 270
6.4 Exploring the Fractal Structures of Filters 275
6.5 Dendritic Capture Trees in Filter Systems 285
6.6 Cantor on the Rocks 290
References 293
7 An Exploration of the Physical Significance of Fractal Structures
in Three Dimensional Space 297
7.1 Randomwalk Theory of Powder Mixing in Three and
Four Dimensional Space 297
7.2 Fractal Geometry and Aerosol Physics 306
7.3 Assessing the Fractal Structure of a Rough Surface
from Adsorption Studies 316
7.4 Interpreting Intrusion Porosimetry Data from a
Fractal Geometry Perspective 320
References 323
8 Fractal Fingers and Floods 327
8.1 Fractal Fingers 327
8.2 Fractal Floods and Fronts in Porous Media 330
References 335
Contents XIII
9 Fracture, Fragments and Fractals 337
9.1 The Fractal Structure of Fractured Surfaces 337
9.2 Describing Progress of a Fracture Process From a Fractal Perspective 343
9.3 The Fragmentation Fractal. A New Fractal
Dimension for Characterizing a Fragmented System 351
9.4 Fractal Geometry and New Perspectives in the
Mineral Processing Industry 358
9.4.1 Dust Explosions 358
9.4.2 Energy Efficiency in a Pulverization Process 361
9.5 Brainstorming About Fractal Geometry and the
Fracture Resistance of Composite Materials 365
References 369
10 Signposts to More Rambling Explorations of Fractal Space 371
Signpost 1 General Ramblings 371
References 374
Signpost 2 Fractal Scenery and Artistic Vision 377
References 379
Signpost 4 Lakes, Islands and other Geofractals 380
References 388
Signpost 5 Trees, Crabs, Cauliflowers and Camouflage 390
References 391
Signpost 6 Fractal Geometry and the Structure of Catalysts 391
References 393
Signpost 7 Solid State Physics 394
References 394
Signpost 8 Butterflies, Ants and Caterpillars in the Garden of Eden 395
References 397
Signpost 9 Turbulence and Chaos 397
References 402
Signpost 10 The Philosophical Impact of Fractal Geometry 402
Signpost 11 Fun with Fractal Logic 404
References 410
Author Index 411
Subject Index 413
|
| any_adam_object | 1 |
| author | Kaye, Brian H. 1932- |
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| discipline | Chemie / Pharmazie Physik Mathematik |
| edition | 1. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:36:44Z |
| institution | BVB |
| isbn | 0895734966 352726468X 3527278761 0895738880 |
| language | English |
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| physical | XXV, 421 S. Ill., graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
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| publisher | VCH |
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| spelling | Kaye, Brian H. 1932- Verfasser (DE-588)115458174 aut A random walk through fractal dimensions 1. ed. Weinheim u.a. VCH 1989 XXV, 421 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Fractales Fractales ram Marches aléatoires (mathématiques) ram Promenades aléatoires (Mathématiques) fractale géométrie fractale marche aléatoire Fractals Fraktal (DE-588)4123220-3 gnd rswk-swf Fraktal (DE-588)4123220-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001232059&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kaye, Brian H. 1932- A random walk through fractal dimensions Fractales Fractales ram Marches aléatoires (mathématiques) ram Promenades aléatoires (Mathématiques) fractale géométrie fractale marche aléatoire Fractals Fraktal (DE-588)4123220-3 gnd |
| subject_GND | (DE-588)4123220-3 |
| title | A random walk through fractal dimensions |
| title_auth | A random walk through fractal dimensions |
| title_exact_search | A random walk through fractal dimensions |
| title_full | A random walk through fractal dimensions |
| title_fullStr | A random walk through fractal dimensions |
| title_full_unstemmed | A random walk through fractal dimensions |
| title_short | A random walk through fractal dimensions |
| title_sort | a random walk through fractal dimensions |
| topic | Fractales Fractales ram Marches aléatoires (mathématiques) ram Promenades aléatoires (Mathématiques) fractale géométrie fractale marche aléatoire Fractals Fraktal (DE-588)4123220-3 gnd |
| topic_facet | Fractales Marches aléatoires (mathématiques) Promenades aléatoires (Mathématiques) fractale géométrie fractale marche aléatoire Fractals Fraktal |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001232059&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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