Cellular automata modeling of physical systems:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
1998
|
| Edition: | 1. publ. |
| Series: | Collection Aléa-Saclay
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 341 S. zahlr. Ill. und graph. Darst. |
| ISBN: | 0521461685 |
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Record in the Search Index
| _version_ | 1804126449017290752 |
|---|---|
| adam_text | CELLULAR AUTOMATA MODELING OF PHYSICAL SYSTEMS BASTIEN CHOPARD AND
MICHEL DROZ UNIVERSITY OF GENEVA CAMBRIDGE UNIVERSITY PRESS CONTENTS
PREFACE XI 1 INTRODUCTION 1 1.1 BRIEF HISTORY 1 1.1.1 SELF-REPRODUCING
SYSTEMS 1 1.1.2 SIMPLE DYNAMICAL SYSTEMS 3 1.1.3 A SYNTHETIC UNIVERSE 4
1.1.4 MODELING PHYSICAL SYSTEMS 5 1.1.5 BEYOND THE CELLULAR AUTOMATA
DYNAMICS: LATTICE BOLTZMANN METHODS AND MULTIPARTICLE MODELS 7 1.2 A
SIMPLE CELLULAR AUTOMATON: THE PARITY RULE 8 1.3 DEFINITIONS 12 1.3.1
CELLULAR AUTOMATA 12 1.3.2 NEIGHBORHOOD 14 1.3.3 BOUNDARY CONDITIONS 15
1.3.4 SOME REMARKS 16 1.4 PROBLEMS 18 2 CELLULAR AUTOMATA MODELING 21
2.1 WHY CELLULAR AUTOMATA ARE USEFUL IN PHYSICS 21 2.1.1 CELLULAR
AUTOMATA AS SIMPLE DYNAMICAL SYSTEMS 21 2.1.2 CELLULAR AUTOMATA AS
SPATIALLY EXTENDED SYSTEMS 24 2.1.3 SEVERAL LEVELS OF REALITY 26 2.1.4 A
FICTITIOUS MICROSCOPIC WORLD 27 2.2 MODELING OF SIMPLE SYSTEMS: A
SAMPLER OF RULES 28 2.2.1 THE RULE 184 AS A MODEL FOR SURFACE GROWTH 29
2.2.2 PROBABILISTIC CELLULAR AUTOMATA RULES 29 2.2.3 THE Q2R RULE 33
2.2.4 THE ANNEALING RULE 37 2.2.5 THE HPP RULE 38 2.2.6 THE SAND PILE
RULE 42 VLL VUL CONTENTS 2.2.7 THE ANT RULE 46 2.2.8 THE ROAD TRAFFIC
RULE 51 2.2.9 THE SOLID BODY MOTION RULE 56 2.3 PROBLEMS 61 3
STATISTICAL MECHANICS OF LATTICE GAS 66 3.1 THE ONE-DIMENSIONAL
DIFFUSION AUTOMATON 66 3.1.1 A RANDOM WALK AUTOMATON 67 3.1.2 THE
MACROSCOPIC LIMIT 68 3.1.3 THE CHAPMAN-ENSKOG EXPANSION 71 3.1.4
SPURIOUS INVARIANTS 74 3.2 THE FHP MODEL 75 3.2.1 THE COLLISION RULE 75
3.2.2 THE MICRODYNAMICS 78 3.2.3 FROM MICRODYNAMICS TO MACRODYNAMICS 80
3.2.4 THE COLLISION MATRIX AND SEMI-DETAILED BALANCE 105 3.2.5 THE
FHP-III MODEL 107 3.2.6 EXAMPLES OF FLUID FLOWS 110 3.2.7
THREE-DIMENSIONAL LATTICE GAS MODELS 112 3.3 THERMAL LATTICE GAS
AUTOMATA 112 3.3.1 MULTISPEED MODELS 112 3.3.2 THERMO-HYDRODYNAMICAL
EQUATIONS 115 3.3.3 THERMAL FHP LATTICE GASES 116 3.4 THE STAGGERED
INVARIANTS 117 3.5 LATTICE BOLTZMANN MODELS 122 3.5.1 INTRODUCTION 122
3.5.2 A SIMPLE TWO-DIMENSIONAL LATTICE BOLTZMANN FLUID 125 3.5.3 LATTICE
BOLTZMANN FLOWS 134 3.6 PROBLEMS 135 4 DIFFUSION PHENOMENA 138 4.1
INTRODUCTION 138 4.2 THE DIFFUSION MODEL 139 4.2.1 MICRODYNAMICS OF THE
DIFFUSION PROCESS 140 4.2.2 THE MEAN SQUARE DISPLACEMENT AND THE
GREEN-KUBO FORMULA 147 4.2.3 THE THREE-DIMENSIONAL CASE 149 4.3 FINITE
SYSTEMS 150 4.3.1 THE STATIONARY SOURCE-SINK PROBLEM 151 4.3.2
TELEGRAPHIST EQUATION 153 4.3.3 THE DISCRETE BOLTZMANN EQUATION IN 2D
157 4.3.4 SEMI-INFINITE STRIP 159 4.4 APPLICATIONS OF THE DIFFUSION RULE
163 4.4.1 STUDY OF THE DIFFUSION FRONT 163 4.4.2 DIFFUSION-LIMITED
AGGREGATION 166 4.4.3 DIFFUSION-LIMITED SURFACE ADSORPTION 171 4.5
PROBLEMS 175 CONTENTS IX 5 REACTION-DIFFUSION PROCESSES 178 5.1
INTRODUCTION 178 5.2 A MODEL FOR EXCITABLE MEDIA 179 5.3 LATTICE GAS
MICRODYNAMICS 181 5.3.1 FROM MICRODYNAMICS TO RATE EQUATIONS 184 5.4
ANOMALOUS KINETICS 187 5.4.1 THE HOMOGENEOUS A + * * 0 PROCESS 188
5.4.2 CELLULAR AUTOMATA OR LATTICE BOLTZMANN MODELING 190 5.4.3
SIMULATION RESULTS 191 5.5 REACTION FRONT IN THE A + * * 0 PROCESS 193
5.5.1 THE SCALING SOLUTION 195 5.6 LIESEGANG PATTERNS 198 5.6.1 WHAT ARE
LIESEGANG PATTERNS 198 5.6.2 THE LATTICE GAS AUTOMATA MODEL 201 5.6.3
CELLULAR AUTOMATA BANDS AND RINGS 202 5.6.4 THE LATTICE BOLTZMANN MODEL
206 5.6.5 LATTICE BOLTZMANN RINGS AND SPIRALS 208 5.7 MULTIPARTICLE
MODELS 209 5.7.1 MULTIPARTICLE DIFFUSION MODEL 210 5.7.2 NUMERICAL
IMPLEMENTATION 212 5.7.3 THE REACTION ALGORITHM 214 5.7.4 RATE EQUATION
APPROXIMATION 216 5.7.5 TURING PATTERNS 217 5.8 FROM CELLULAR AUTOMATA
TO FIELD THEORY 219 5.9 PROBLEMS 228 6 NONEQUILIBRIUM PHASE TRANSITIONS
232 6.1 INTRODUCTION 232 6.2 SIMPLE INTERACTING PARTICLE SYSTEMS 234
6.2.1 THE A MODEL 234 6.2.2 THE CONTACT PROCESS MODEL (CPM) 241 6.3
SIMPLE MODELS OF CATALYTIC SURFACES 242 6.3.1 THE ZIFF MODEL 242 6.3.2
MORE COMPLICATED MODELS 248 6.4 CRITICAL BEHAVIOR 249 6.4.1 LOCALIZATION
OF THE CRITICAL POINT 250 6.4.2 CRITICAL EXPONENTS AND UNIVERSALITY
CLASSES 252 6.5 PROBLEMS 254 7 OTHER MODELS AND APPLICATIONS 256 7.1
WAVE PROPAGATION 256 7.1.1 ONE-DIMENSIONAL WAVES 256 7.1.2
TWO-DIMENSIONAL WAVES 258 7.1.3 THE LATTICE BGK FORMULATION OF THE WAVE
MODEL 267 7.1.4 AN APPLICATION TO WAVE PROPAGATION IN URBAN ENVIRONMENTS
278 7.2 WETTING, SPREADING AND TWO-PHASE FLUIDS 280 X CONTENTS 7.2.1
MULTIPHASE FLOWS 280 7.2.2 THE PROBLEM OF WETTING 282 7.2.3 AN FHP MODEL
WITH SURFACE TENSION 284 7.2.4 MAPPING OF THE HEXAGONAL LATTICE ON A
SQUARE LATTICE 287 7.2.5 SIMULATIONS OF WETTING PHENOMENA 289 7.2.6
ANOTHER FORCE RULE 292 7.2.7 AN ISING CELLULAR AUTOMATA FLUID 293 7.3
MULTIPARTICLE FLUIDS 298 7.3.1 THE MULTIPARTICLE COLLISION RULE 299
7.3.2 MULTIPARTICLE FLUID SIMULATIONS 302 7.4 MODELING SNOW TRANSPORT BY
WIND 305 7.4.1 THE WIND MODEL 305 7.4.2 THE SNOW MODEL 308 7.4.3
SIMULATIONS OF SNOW TRANSPORT 312 REFERENCES 313 GLOSSARY 327 INDEX 337
|
| any_adam_object | 1 |
| author | Chopard, Bastien 1959- Droz, Michel |
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| callnumber-raw | QC174.8 |
| callnumber-search | QC174.8 |
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| callnumber-subject | QC - Physics |
| classification_rvk | UG 3100 |
| ctrlnum | (OCoLC)37293337 (DE-599)BVBBV011862454 |
| dewey-full | 530.13/01/1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.13/01/1 |
| dewey-search | 530.13/01/1 |
| dewey-sort | 3530.13 11 11 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV011862454 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:17:37Z |
| institution | BVB |
| isbn | 0521461685 |
| language | English |
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| physical | XII, 341 S. zahlr. Ill. und graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
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| publisher | Cambridge Univ. Press |
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| spelling | Chopard, Bastien 1959- Verfasser (DE-588)173249175 aut Cellular automata modeling of physical systems Bastian Chopard and Michel Droz 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1998 XII, 341 S. zahlr. Ill. und graph. Darst. txt rdacontent n rdamedia nc rdacarrier Collection Aléa-Saclay Cellulaire automaten gtt Statistische mechanica gtt Cellular automata Diffusion Lattice gas Phase transformations (Statistical physics) Statistical physics Zellularer Automat (DE-588)4190671-8 gnd rswk-swf Statistische Physik (DE-588)4057000-9 gnd rswk-swf Statistische Physik (DE-588)4057000-9 s Zellularer Automat (DE-588)4190671-8 s 1\p DE-604 DE-604 Droz, Michel Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008013897&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chopard, Bastien 1959- Droz, Michel Cellular automata modeling of physical systems Cellulaire automaten gtt Statistische mechanica gtt Cellular automata Diffusion Lattice gas Phase transformations (Statistical physics) Statistical physics Zellularer Automat (DE-588)4190671-8 gnd Statistische Physik (DE-588)4057000-9 gnd |
| subject_GND | (DE-588)4190671-8 (DE-588)4057000-9 |
| title | Cellular automata modeling of physical systems |
| title_auth | Cellular automata modeling of physical systems |
| title_exact_search | Cellular automata modeling of physical systems |
| title_full | Cellular automata modeling of physical systems Bastian Chopard and Michel Droz |
| title_fullStr | Cellular automata modeling of physical systems Bastian Chopard and Michel Droz |
| title_full_unstemmed | Cellular automata modeling of physical systems Bastian Chopard and Michel Droz |
| title_short | Cellular automata modeling of physical systems |
| title_sort | cellular automata modeling of physical systems |
| topic | Cellulaire automaten gtt Statistische mechanica gtt Cellular automata Diffusion Lattice gas Phase transformations (Statistical physics) Statistical physics Zellularer Automat (DE-588)4190671-8 gnd Statistische Physik (DE-588)4057000-9 gnd |
| topic_facet | Cellulaire automaten Statistische mechanica Cellular automata Diffusion Lattice gas Phase transformations (Statistical physics) Statistical physics Zellularer Automat Statistische Physik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008013897&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT chopardbastien cellularautomatamodelingofphysicalsystems AT drozmichel cellularautomatamodelingofphysicalsystems |