Physics and fractal structures:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English French |
| Published: |
Paris [u.a.]
Masson [u.a.]
1996
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Franz. übers. |
| Physical Description: | XIV, 234 S. Ill., graph. Darst. |
| ISBN: | 3540941533 0387941533 2225851301 |
Staff View
MARC
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| 100 | 1 | |a Gouyet, Jean-François |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Physics and fractal structures |c Jean-François Gouyet |
| 264 | 1 | |a Paris [u.a.] |b Masson [u.a.] |c 1996 | |
| 300 | |a XIV, 234 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Fractals | |
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Record in the Search Index
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| adam_text | CONTENTS FOREWORD V PREFACE XIII 1. FRACTAL GEOMETRIES 1.1 INTRODUCTION
1 1.2 THE NOTION OF DIMENSION 2 1.3 METRIC PROPERTIES: HAUSDORFF
DIMENSION, TOPOLOGICAL DIMENSION 4 1.3.1 THE TOPOLOGICAL DIMENSION 5
1.3.2 THE HAUSDORFF - BESICOVITCH DIMENSION 5 1.3.3 THE BOULIGAND *
MINKOWSKI DIMENSION 6 1.3.4 THE PACKING DIMENSION 8 1.4 EXAMPLES OF
FRACTALS 10 1.4.1 DETERMINISTIC FRACTALS 10 1.4.2 RANDOM FRACTALS 19
1.4.3 SCALE INVARIANCE 21 1.4.4 AMBIGUITIES IN PRACTICAL MEASUREMENTS 22
1.5 CONNECTIVITY PROPERTIES 23 1.5.1 SPREADING DIMENSION, DIMENSION OF
CONNECTIVITY 23 1.5.2 THE RAMIFICATION R 25 1.5.3 THE LACUNARITY L 25
1.6 MULTIFRACTAL MEASURES 26 1.6.1 BINOMIAL FRACTAL MEASURE 27 1.6.2
MULTINOMIAL FRACTAL MEASURE 30 1.6.3 TWO SCALE CANTOR SETS 36 1.6.4
MULTIFRACTAL MEASURE ON A SET OF POINTS 38 2. NATURAL FRACTAL
STRUCTURES: FROM THE MACROSCOPIC... 2.1 DISTRIBUTION OF GALAXIES 41
2.1.1 DISTRIBUTION OF CLUSTERS IN THE UNIVERSE 42 2.1.2 OLBERS BLAZING
SKY PARADOX 43 2.2 MOUNTAIN RELIEFS, CLOUDS, FRACTURES 45 2.2.1 BROWNIAN
MOTION, ITS FRACTAL DIMENSION 46 2.2.2 SCALAR BROWNIAN MOTION 48 2.2.3
BROWNIAN FUNCTION OF A POINT 49 2.2.4 FRACTIONAL BROWNIAN MOTION 49
2.2.5 SELF-AFFINE FRACTALS 52 2.2.6 MOUNTAINOUS RELIEFS 57 2.2.7
SPECTRAL DENSITY OF A FRACTIONAL BROWNIAN MOTION, THE SPECTRAL EXPONENT
SS 58 2.2.8 CLOUDS 61 2.2.9 FRACTURES 62 2.3 TURBULENCE AND CHAOS 65
2.3.1 FRACTAL MODELS OF DEVELOPED TURBULENCE 66 2.3.2 DETERMINISTIC
CHAOS IN DISSIPATIVE SYSTEMS 72 3. NATURAL FRACTAL STRUCTURES:... TO THE
MICROSCOPIC 3.1 DISORDERED MEDIA 89 3.1.1 A MODEL: PERCOLATION 89 3.1.2
EVAPORATED FILMS 105 3.2 POROUS MEDIA 107 3.2.1 MONOPHASIC FLOW IN
POORLY CONNECTED MEDIA 108 3.2.2 DISPLACEMENT OF A FLUID BY ANOTHER IN A
POROUS MEDIUM 10 9 3.2.3 QUASISTATIC DRAINAGE ILL 3.3 DIFFUSION FRONTS
AND INVASION FRONTS 118 3.3.1 DIFFUSION FRONTS OF NONINTERACTING
PARTICLES 118 3.3.2 THE ATTRACTIVE INTERACTION CASE 125 3.4 AGGREGATES
130 3.4.1 DEFINITION OF AGGREGATION 130 3.4.2 AEROSOLS AND COLLOIDS 132
3.4.3 MACROSCOPIC AGGREGATION 140 3.4.4 LAYERS DEPOSITED BY SPUTTERING
141 3.4.5 AGGREGATION IN A WEAK FIELD 142 3.5 POLYMERS AND MEMBRANES 146
3.5.1 FRACTAL PROPERTIES OF POLYMERS 146 3.5.2 FRACTAL PROPERTIES OF
MEMBRANES 152 4. GROWTH MODELS 4.1 THE EDEN MODEL 157 4.1.1 GROWTH OF
THE EDEN CLUSTER: SCALING LAWS 159 4.1.2 THE WILLIAMS AND BJERKNES MODEL
163 4.1.3 GROWING PERCOLATION CLUSTERS 164 4.2 THE WITTEN AND SANDER
MODEL 165 4.2.1 DESCRIPTION OF THE DLA MODEL 165 4.2.2 EXTENSIONS OF THE
WITTEN AND SANDER MODEL 167 4.2.3 THE HARMONIC MEASURE AND
MULTIFRACTALITY 172 4.3 MODELING ROUGH SURFACES 174 4.3.1 SELF-AFFINE
DESCRIPTION OF ROUGH SURFACES 17 4 4.3.2 DEPOSITION MODELS 174 4.3.3
ANALYTICAL APPROACH TO THE GROWTH OF ROUGH SURFACES 176 4.4 CLUSTER -
CLUSTER AGGREGATION 177 4.4.1 DIFFUSION - LIMITED CLUSTER - CLUSTER
AGGREGATION 177 4.4.2 REACTION - LIMITED CLUSTER - CLUSTER AGGREGATION
179 4.4.3 BALLISTIC CLUSTER - CLUSTER AGGREGATION AND OTHER MODELS 180
5. DYNAMICAL ASPECTS 5.1 PHONONS AND FRACTONS 183 5.1.1 SPECTRAL
DIMENSION 183 5.1.2 DIFFUSION AND RANDOM WALKS 188 5.1.3 DISTINCT SITES
VISITED BY DIFFUSION 191 5.1.4 PHONONS AND FRACTONS IN REAL SYSTEMS 192
5.2 TRANSPORT AND DIELECTRIC PROPERTIES 194 5.2.1 CONDUCTION THROUGH A
FRACTAL 194 5.2.2 CONDUCTION IN DISORDERED MEDIA 197 5.2.3 DIELECTRIC
BEHAVIOR OF COMPOSITE MEDIA 207 5.2.4 RESPONSE OF VISCOELASTIC SYSTEMS
208 5.3 EXCHANGES AT INTERFACES 211 5.3. J THE DIFFUSION-LIMITED REGIME
213 5.3.2 RESPONSE TO A BLOCKING ELECTRODE 21 3 5.4 REACTION KINETICS IN
FRACTAL MEDIA 215 6. BIBLIOGRAPHY 219 7. INDEX 231
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| any_adam_object | 1 |
| author | Gouyet, Jean-François |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
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| discipline | Physik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:00:23Z |
| institution | BVB |
| isbn | 3540941533 0387941533 2225851301 |
| language | English French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007270968 |
| oclc_num | 35005596 |
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| physical | XIV, 234 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Masson [u.a.] |
| record_format | marc |
| spelling | Gouyet, Jean-François Verfasser aut Physics and fractal structures Jean-François Gouyet Paris [u.a.] Masson [u.a.] 1996 XIV, 234 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus dem Franz. übers. Mathematische Physik Fractals Mathematical physics Fraktal (DE-588)4123220-3 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Fraktal (DE-588)4123220-3 s Physik (DE-588)4045956-1 s DE-604 OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007270968&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gouyet, Jean-François Physics and fractal structures Mathematische Physik Fractals Mathematical physics Fraktal (DE-588)4123220-3 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)4123220-3 (DE-588)4045956-1 |
| title | Physics and fractal structures |
| title_auth | Physics and fractal structures |
| title_exact_search | Physics and fractal structures |
| title_full | Physics and fractal structures Jean-François Gouyet |
| title_fullStr | Physics and fractal structures Jean-François Gouyet |
| title_full_unstemmed | Physics and fractal structures Jean-François Gouyet |
| title_short | Physics and fractal structures |
| title_sort | physics and fractal structures |
| topic | Mathematische Physik Fractals Mathematical physics Fraktal (DE-588)4123220-3 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Mathematische Physik Fractals Mathematical physics Fraktal Physik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007270968&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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