Why more is different: philosophical issues in condensed matter physics and complex systems
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg [u.a.]
Springer
2015
|
| Schriftenreihe: | The frontiers collection
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | X, 280 S. graph. Darst. |
| ISBN: | 9783662439104 9783662439111 3662439107 |
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Datensatz im Suchindex
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CONTENTS
1 INTRODUCTION 1
BRIGITTE FALKENBURG AND MARGARET MORRISON
1.1 REDUCTION 3
1.2 EMERGENCE 5
1.3 PARTS AND WHOLES 7
PART I REDUCTION
2 ON THE SUCCESS AND LIMITATIONS OF REDUCTIONISM IN PHYSICS 13
HILDEGARD MEYER-ORTMANNS
2.1 INTRODUCTION 13
2.2 ON THE SUCCESS OF REDUCTIONISM 15
2.2.1 SYMMETRIES AND OTHER GUIDING PRINCIPLES 15
2.2.2 BRIDGING THE SCALES FROM MICRO TO MACRO 20
2.2.3 WHEN A SINGLE STEP IS SUFFICIENT: PATTERN FORMATION
IN MASS AND PIGMENT DENSITIES 24
2.2.4 FROM ORDINARY DIFFERENTIAL EQUATIONS TO THE
FORMALISM OF QUANTUM FIELD THEORY:
ON INCREASING COMPLEXITY IN THE DESCRIPTION
OF DYNAMIC STRAINS OF BACTERIA 27
2.2.5 LARGE-SCALE COMPUTER SIMULATIONS:
A VIRUS IN TERMS OF ITS ATOMIC CONSTITUENTS 31
2.3 LIMITATIONS OF REDUCTIONISM 33
2.3.1 A FICTIVE DIALOGUE FOR AND AGAINST EXTREME
REDUCTIONISM 33
2.3.2 DNA FROM THE STANDPOINT OF PHYSICS
AND COMPUTER SCIENCE 35
2.4 OUTLOOK: A STEP TOWARDS A UNIVERSAL THEORY OF COMPLEX
SYSTEMS 36
REFERENCES 37
V
HTTP://D-NB.INFO/105186710X
VI CONTENTS
3 ON THE RELATION BETWEEN THE SECOND LAW OF THERMODYNAMICS
AND CLASSICAL AND QUANTUM MECHANICS 41
BARBARA DROSSEL
3.1 INTRODUCTION 41
3.2 THE MISTAKEN IDEA OF INFINITE PRECISION 43
3.3 FROM CLASSICAL MECHANICS TO STATISTICAL MECHANICS 45
3.3.1 THE STANDARD ARGUMENT 45
3.3.2 THE PROBLEMS WITH THE STANDARD ARGUMENT 46
3.3.3 AN ALTERNATIVE VIEW 47
3.3.4 OTHER ROUTES FROM CLASSICAL MECHANICS TO THE
SECOND LAW OF THERMODYNAMICS 48
3.4 FROM QUANTUM MECHANICS TO STATISTICAL MECHANICS 49
3.4.1 THE EIGENSTATE THERMALIZATION HYPOTHESIS 49
3.4.2 INTERACTION WITH THE ENVIRONMENT
THROUGH A POTENTIAL 50
3.4.3 COUPLING TO AN ENVIRONMENT WITH MANY DEGREES
OF FREEDOM 51
3.4.4 QUANTUM MECHANICS AS A STATISTICAL THEORY
THAT INCLUDES STATISTICAL MECHANICS 52
3.5 CONCLUSIONS 53
REFERENCES 53
4 DISSIPATION IN QUANTUM MECHANICAL SYSTEMS:
WHERE IS THE SYSTEM AND WHERE IS THE RESERVOIR? 55
JOACHIM ANKERHOLD
4.1 INTRODUCTION 55
4.2 DISSIPATION AND NOISE IN CLASSICAL SYSTEMS 56
4.3 DISSIPATIVE QUANTUM SYSTEMS 57
4.4 SPECIFIC HEAT FOR A BROWNIAN PARTICLE 60
4.5 ROLES REVERSED: A RESERVOIR DOMINATES COHERENT
DYNAMICS 61
4.6 EMERGENCE OF CLASSICALITY IN THE DEEP QUANTUM REGIME . 63
4.7 SUMMARY AND CONCLUSION 66
REFERENCES 67
5 EXPLANATION VIA MICRO-REDUCTION: ON THE ROLE OF SCALE
SEPARATION FOR QUANTITATIVE MODELLING 69
RAFAELA HILLERBRAND
5.1 INTRODUCTION 69
5.2 EXPLANATION AND REDUCTION 71
5.2.1 TYPES OF REDUCTION 72
5.2.2 QUANTITATIVE PREDICTIONS AND GENERALIZED
STATE VARIABLES 73
CONTENTS VII
5.3 PREDICTING COMPLEX SYSTEMS 74
5.3.1 SCALE SEPARATION IN A NUTSHELL 75
5.3.2 LASERS 76
5.3.3 FLUID DYNAMIC TURBULENCE 78
5.4 SCALE SEPARATION, METHODOLOGICAL UNIFICATION,
AND MICRO-REDUCTION 80
5.4.1 FUNDAMENTAL LAWS: FIELD THEORIES
AND SCALE SEPARATION 81
5.4.2 CRITICAL PHENOMENA 82
5.5 PERTURBATIVE METHODS AND LOCAL SCALE SEPARATION 83
5.6 REDUCTION, EMERGENCE AND UNIFICATION 84
REFERENCES 86
PART II EMERGENCE
6 WHY IS MORE DIFFERENT? 91
MARGARET MORRISON
6.1 INTRODUCTION 91
6.2 AUTONOMY AND THE MICRO/MACRO RELATION: THE PROBLEM 93
6.3 EMERGENCE AND REDUCTION 96
6.4 PHASE TRANSITIONS, UNIVERSALITY AND THE NEED
FOR EMERGENCE 100
6.5 RENORMALIZATION GROUP METHODS: BETWEEN PHYSICS
AND MATHEMATICS 107
6.6 CONCLUSIONS 113
REFERENCES 113
7 AUTONOMY AND SCALES 115
ROBERT BATTERMAN
7.1 INTRODUCTION 115
7.2 AUTONOMY 116
7.2.1 EMPIRICAL EVIDENCE 117
7.2.2 THE PHILOSOPHICAL LANDSCAPE 120
7.3 HOMOGENIZATION: A MEANS FOR UPSCALING 122
7.3.1 RVES 122
7.3.2 DETERMINING EFFECTIVE MODULI 125
7.3.3 ESHELBY'S METHOD 128
7.4 PHILOSOPHICAL IMPLICATIONS 132
REFERENCES 134
VIII CONTENTS
8 MORE IS DIFFERENT.SOMETIMES: ISING MODELS, EMERGENCE,
AND UNDECIDABILITY 137
PAUL W. HUMPHREYS
8.1 ANDERSON'S CLAIMS 138
8.2 UNDECIDABILITY RESULTS 140
8.3 RESULTS FOR INFINITE ISING LATTICES 141
8.4 PHILOSOPHICAL CONSEQUENCES 144
8.5 THE AXIOMATIC METHOD AND REDUCTION 147
8.6 FINITE RESULTS 150
8.7 CONCLUSIONS 150
REFERENCES 151
9 NEITHER WEAK, NOR STRONG? EMERGENCE AND FUNCTIONAL
REDUCTION 153
SORIN BANGU
9.1 INTRODUCTION 153
9.2 TYPES OF EMERGENCE AND F-REDUCTION 154
9.3 STRONG OR WEAK? 158
9.4 CONCLUSION 164
REFERENCES 164
PART III PARTS AND WHOLES
10 STABILITY, EMERGENCE AND PART-WHOLE REDUCTION 169
ANDREAS HIITTEMANN, REIMER KIIHN AND ORESTIS TERZIDIS
10.1 INTRODUCTION 169
10.2 EVIDENCE FROM SIMULATION: LARGE NUMBERS AND STABILITY . 173
10.3 LIMIT THEOREMS AND DESCRIPTION ON LARGE SCALES 177
10.4 INTERACTING SYSTEMS AND THE RENORMALIZATION GROUP 180
10.5 THE THERMODYNAMIC LIMIT OF INFINITE SYSTEM SIZE 184
10.6 SUPERVENIENCE, UNIVERSALITY AND PART-WHOLE-EXPLANATION . 188
10.7 POST FACTO JUSTIFICATION OF MODELLING 193
A.L RENORMALIZATION AND CUMULANT GENERATING FUNCTIONS 194
A.2 LINEAR STABILITY ANALYSIS 196
REFERENCES 199
11 BETWEEN RIGOR AND REALITY: MANY-BODY MODELS IN CONDENSED
MATTER PHYSICS 201
AXEL GELFERT
11.1 INTRODUCTION 201
11.2 MANY-BODY MODELS AS MATHEMATICAL MODELS 202
11.3 A BRIEF HISTORY OF MANY-BODY MODELS 205
CONTENTS
IX
11.4 CONSTRUCTING QUANTUM HAMILTONIANS 209
11.5 MANY-BODY MODELS AS MEDIATORS AND CONTRIBUTORS 214
11.5.1 RIGOROUS RESULTS AND RELATIONS 216
11.5.2 CROSS-MODEL SUPPORT 217
11.5.3 MODEL-BASED UNDERSTANDING 218
11.6 BETWEEN RIGOR AND REALITY: APPRAISING MANY-BODY
MODELS 220
REFERENCES 225
12 HOW DO QUASI-PARTICLES EXIST? 227
BRIGITTE FALKENBURG
12.1 SCIENTIFIC REALISM 228
12.2 PARTICLE CONCEPTS 230
12.3 QUASI-PARTICLES 235
12.3.1 THE THEORY 235
12.3.2 THE CONCEPT 238
12.3.3 COMPARISON WITH PHYSICAL PARTICLES 240
12.3.4 COMPARISON WITH VIRTUAL PARTICLES 242
12.3.5 COMPARISON WITH MATTER CONSTITUENTS 243
12.4 BACK TO SCIENTIFIC REALISM 244
12.4.1 ARE HOLES FAKE ENTITIES? 245
12.4.2 WHAT ABOUT QUASI-PARTICLES IN GENERAL? 246
12.5 HOW DO QUASI-PARTICLES EXIST? 248
REFERENCES 249
13 A MECHANISTIC READING OF QUANTUM LASER THEORY 251
MEINARD KUHLMANN
13.1 INTRODUCTION 251
13.2 WHAT IS A MECHANISM? 252
13.3 QUANTUM LASER THEORY READ MECHANISTICALLY 253
13.3.1 THE EXPLANANDUM 253
13.3.2 SPECIFYING THE INTERNAL DYNAMICS 253
13.3.3 FINDING THE SYSTEM DYNAMICS 258
13.3.4 WHY QUANTUM LASER THEORY IS A MECHANISTIC
THEORY 260
13.4 POTENTIAL OBSTACLES FOR A MECHANISTIC READING 262
13.4.1 IS "ENSLAVEMENT" A NON-MECHANISTIC CONCEPT? 262
13.4.2 WHY PARTS OF A MECHANISM DON'T NEED TO BE
SPATIAL PARTS 264
13.4.3 WHY QUANTUM HOLISM DOESN'T UNDERMINE
MECHANISTIC REDUCTION 266
X
CONTENTS
13.5 THE SCOPE OF MECHANISTIC EXPLANATIONS 267
13.6 CONCLUSION 270
REFERENCES 270
NAME INDEX 273
TITLES IN THIS SERIES 277 |
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| spelling | Why more is different philosophical issues in condensed matter physics and complex systems Brigitte Falkenburg, Margaret Morrison, ed. Heidelberg [u.a.] Springer 2015 X, 280 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier The frontiers collection Philosophie (DE-588)4045791-6 gnd rswk-swf Festkörperphysik (DE-588)4016921-2 gnd rswk-swf Festkörperphysik (DE-588)4016921-2 s Philosophie (DE-588)4045791-6 s DE-604 Falkenburg, Brigitte 1953- (DE-588)111349338 edt Morrison, Margaret 1954-2021 (DE-588)173843034 edt Erscheint auch als Online-Ausgabe 10.1007/978-3-662-43911-1 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4683802&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027597149&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Why more is different philosophical issues in condensed matter physics and complex systems Philosophie (DE-588)4045791-6 gnd Festkörperphysik (DE-588)4016921-2 gnd |
| subject_GND | (DE-588)4045791-6 (DE-588)4016921-2 |
| title | Why more is different philosophical issues in condensed matter physics and complex systems |
| title_auth | Why more is different philosophical issues in condensed matter physics and complex systems |
| title_exact_search | Why more is different philosophical issues in condensed matter physics and complex systems |
| title_full | Why more is different philosophical issues in condensed matter physics and complex systems Brigitte Falkenburg, Margaret Morrison, ed. |
| title_fullStr | Why more is different philosophical issues in condensed matter physics and complex systems Brigitte Falkenburg, Margaret Morrison, ed. |
| title_full_unstemmed | Why more is different philosophical issues in condensed matter physics and complex systems Brigitte Falkenburg, Margaret Morrison, ed. |
| title_short | Why more is different |
| title_sort | why more is different philosophical issues in condensed matter physics and complex systems |
| title_sub | philosophical issues in condensed matter physics and complex systems |
| topic | Philosophie (DE-588)4045791-6 gnd Festkörperphysik (DE-588)4016921-2 gnd |
| topic_facet | Philosophie Festkörperphysik |
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