A modern course in statistical physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
Wiley-VCH Verlag GmbH & Co. KGaA
[2016]
|
| Ausgabe: | 4th revised and updated edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverzeichnis Seite 453-458 |
| Beschreibung: | XIII, 467 Seiten Illustrationen, Diagramme |
| ISBN: | 9783527413492 9783527690497 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804175344050110464 |
|---|---|
| adam_text | CONTENTS
PREFACE TO THE FOURTH EDITION XIII
1 INTRODUCTION 1
2 COMPLEXITY AND ENTROPY 5
2.1 INTRODUCTION 5
2.2 COUNTING MICROSCOPIC STATES 5
2.3 PROBABILITY 9
2.4 MULTIPLICITY AND ENTROPY OF MACROSCOPIC PHYSICAL STATES
2.5 MULTIPLICITY AND ENTROPY OF A SPIN SYSTEM 12
2.5.1 MULTIPLICITY OF A SPIN SYSTEM 12
2.5.2 ENTROPY OF SPIN SYSTEM 13
2.6 ENTROPIE TENSION IN A POLYMER 16
2.7 MULTIPLICITY AND ENTROPY OF AN EINSTEIN SOLID 18
27L MULTIPLICITY OF AN EINSTEIN SOLID 18
2.7.2 ENTROPY OF THE EINSTEIN SOLID 19
2.8 MULTIPLICITY AND ENTROPY OF AN IDEAL GAS 20
2.8.1 MULTIPLICITY OF AN IDEAL GAS 20
2.8.2 ENTROPY OF AN IDEAL GAS 22
2.9 PROBLEMS 23 3
3 THERMODYNAMICS 27
3.1 INTRODUCTION 27
3.2 ENERGY CONSERVATION 29
3.3 ENTROPY 30
3.3.1 CARNOT ENGINE 30
3.3.2 THE THIRD LAW 34
3.4 FUNDAMENTAL EQUATION OF THERMODYNAMICS 35
3.5 THERMODYNAMIC POTENTIALS 38
3.5.1 INTERNAL ENERGY 39
3.5.2 ENTHALPY 40
3.5.3 HELMHOLTZ FREE ENERGY 42
3.5.4 GIBBS FREE ENERGY 43
3.5.5 GRAND POTENTIAL 45
3.6 RESPONSE FUNCTIONS 46
3.6.1 THERMAL RESPONSE FUNCTIONS (HEAT CAPACITY) 46
3.6.2 MECHANICAL RESPONSE FUNCTIONS 49
3.7 STABILITY OF THE EQUILIBRIUM STATE 51
3.7.1 CONDITIONS FOR LOCAL EQUILIBRIUM IN A PVT SYSTEM 51
3.7.2 CONDITIONS FOR LOCAL STABILITY IN A PVT SYSTEM 52
3.7.3 IMPLICATIONS OF THE STABILITY REQUIREMENTS FOR THE FREE ENERGIES
3.7.4 CORRELATIONS BETWEEN FLUCTUATIONS 58
3.8 COOLING ANA LIQUEFACTION OF GASES 61
3.9 OSMOTIC PRESSURE IN DILUTE SOLUTIONS 64
3.10 THE THERMODYNAMICS OF CHEMICAL REACTIONS 67
3.10.1 THEAFFINITY 68
3.11 THE THERMODYNAMICS OF ELECTROLYTES 74
3.11.1 BATTERIES AND THE NERNST EQUATION 75
3.11.2 CELL POTENTIALS AND THE NERNST EQUATION . 77
3.12 PROBLEMS 78
4 THE THERMODYNAMICS OF PHASE T RAN SITO 87
4.1 INTRODUCTION 87
4.2 COEXISTENCE OF PHASES GIBBS PHASE RULE 88
4.3 CLARIFICATION OF PHASE TRANSITIONS 89
4.4 CLASSICAL PURE PVT SYSTEMS 91
4.4.1 PHASEDIAGRAMS 91
4.4.2 COEXISTENCE CURVES: CLAUSIUS-CLAPEYRON EQUATION 92
4.4.3 LIQUID-VAPOR COEXISTENCE REGION 95
4.4.4 THE VAN DER WAALS EQUATION 100
4.4.5 STEAM ENGINES - THE RANKINE CYCLE 102
4.5 BINARY MIXTURES 105
4.5.1 EQUILIBRIUM CONDITIONS 106
4.6 THE HELIUM LIQUIDS 108
4.6.1 LIQUID HE4 109
4.6.2 LIQUID HE3 112
4.6.3 LIQUID HE3-HE4 MIXTURES 113
4.7 SUPERCONDUCTORS 114
4.8 GINZBURG-LANDAU THEORY 116
4.8.1 CONTINUOUS PHASE TRANSITIONS 117
4.8.2 FIRST-ORDER TRANSITIONS 120
4.8.3 SOME APPLICATIONS OT BINZBURG-LANDAU THEORY 121
4.9 CRITICAL EXPONENTS 123
4.9.1 DEFINITION OF CRITICAL EXPONENTS 124
4.9.2 THE CRITICAL EXPONENTS FOR PURE PVT SYSTEMS 124
4.9.3 THE CRITICAL EXPONENTS FOR THE CURIE POINT 126
4.9.4 THE CRITICAL EXPONENTS FOR MEAN FIELD THEORIES 128
4.10 PROBLEMS 130
5 EQUILIBRIUM STATISTICAL MECHANICS I - CANONICAL ENSEMBLE 135
5.1 INTRODUCTION 135
5.2 PROBABILITY DENSITY OPERATOR - CANONICAL ENSEMBLE 137
5.2.1 ENERGY FLUCTUATIONS 138
5.3 SEMICLASSICAL IDEAL GAS OF INDISTINGUISHABLE PARTICLES 139
5.3.1 APPROXIMATIONS TO THE PARTITION FUNCTION FOR SEMICLASSICAL IDEAL
GASES 139
5.3.2 MAXWELL-BOLTZMANN DISTRIBUTION 143
5.4 INTERACTING CLASSICAL FLUIDS 145
5.4.1 DENSITY CORRELATIONS AND THE RADIAL DISTRIBUTION FUNCTION 146
5.4.2 MAGNETIZATION DENSITY CORRELATIONS 148
5.5 HEAT CAPACITY OF A DEBYE SOLID 149
5.6 ORDER-DISORDER TRANSITIONS ON SPIN LATTICES 153
5.6.1 EXACT SOLUTION FOR A ONE-DIMENSIONAL LATTICE 154
5.6.2 MEAN FIELD THEORY FOR A ^-DIMENSIONAL LATTICE 156
5.6.3 MEAN FIELD THEORY OF SPATIAL CORRELATION FUNCTIONS 159
5.6.4 EXACTSOLUTIONTOISINGLATTICEFOR^ = 2 160
5.7 S C A L I N G S
5.7.1 HOMOGENEOUS FUNCTIONS
162
5.7.2 WIDOM SCALING 163
5.7.3 KADANOFF SCALING 166
5.8 MICROSCOPIC CALCULATION OF CRITICAL EXPONENTS 169
5.8.1 GENERAL THEORY 169
5.8.2 APPLICATION TO TRIANGULAR LATTICE 172
5.8.3 THE .4* MODEL 175
5.9 PROBLEMS 177 6
6 EQUILIBRIUM STATISTICAL MECHANICS II - GRAND CANONICAL ENSEMBLE
6.1 INTRODUCTION 183
6.2 THE GRAND CANONICAL ENSEMBLE 184
6.2.1 PARTICLE NUMBER FLUCTUATIONS 185
6.2.2 IDEAL CLASSICAL GAS 186
6.3 ADSORPTION ISOTHERMS 187
6.4 VIRIAL EXPANSION FOR INTERACTING CLASSICAL FLUIDS 191
6.4.1 VIRIAL EXPANSION AND CLUSTER FUNCTIONS 191
6.4.2 THE SECOND VIRIAL COEFFICIENT, B2(T) 194
6.5 BLACKBODY RADIATION 197
6.6 IDEAL QUANTUM GASES 200
6.7 IDEAL BOSE-EINSTEIN GAS 202
6.7.1 BOSE-EINSTEIN CONDENSATION 206
6.7.2 EXPERIMENTAL OBSERVATION OF BOSE-EINSTEIN CONDENSATION 208
6.8 BOGOLIUBOVMEAN FIELD THEORY 210
6.9 IDEAL FERMI-DIRAC GAS 214
6.10 MAGNETIC SUSCEPTIBILITY OF AN IDEAL FERMI GAS 220
6.10.1 PARAMAGNETISM 221
183
6.10.2 DIAMAGNETISM 222
6.11 MOMENTUM CONDENSATION IN AN INTERACTING FERMI FLUID 224
6.12 PROBLEMS 231
7 BROWNIAN MOTION AND FLUCTUATION-DISSIPATION 235
7.1 INTRODUCTION 235
7.2 BROWNIAN MOTION 236
7.2.1 LANGEVIN EQUATION 237
7.2.2 CORRELATION FUNCTION AND SPECTRAL DENSITY 238
7.3 THE FOKKER-PLANCK EQUATION 240
7.3.1 PROBABILITY FLOW IN PHASE SPACE 242
7.3.2 PROBABILITY FLOW FOR BROWNIAN PARTICLE 243
7.3.3 THE STRONG FRICTION LIMIT 245
7.4 DYNAMIC EQUILIBRIUM FLUCTUATIONS 250
7.4.1 REGRESSION OF FLUCTUATIONS 252
7.4.2 WIENER-KHINTCHINE THEOREM 253
7.5 LINEAR RESPONSE THEORY
AND THE FLUCTUATION-DISSIPATION THEOREM 255
7.5.1 THE RESPONSE MATRIX 255
7.5.2 CAUSALITY 257
7.5.3 THE FLUCTUATION-DISSIPATION THEOREM 260
7.5.4 POWER ABSORPTION 262
7.6 MICROSCOPIC LINEAR RESPONSE THEORY 264
7.6.1 DENSITY OPERATOR PERTURBED BY EXTERNAL FIELD 264
7.6.2 THE ELECTRIC CONDUCTANCE 265
7.6.3 POWER ABSORPTION 270
7.7 THERMAL NOISE IN THE ELECTRON CURRENT 272
7.8 PROBLEMS 273
8 HYDRODYNAMICS 277
8.1 INTRODUCTION 277
8.2 NAVIER-STOKES HYDRODYNAMIC EQUATIONS 278
8.2.1 BALANCE EQUATIONS 278
8.2.2 ENTROPY SOURCE AND ENTROPY CURRENT 283
8.2.3 TRANSPORT COEFFICIENTS 286
8.3 LINEARIZED HYDRODYNAMIC EQUATIONS 289
8.3.1 LINEARIZATION OF THE HYDRODYNAMIC EQUATIONS 289
8.3.2 TRANSVERSE HYDRODYNAMIC MODES 293
8.3.3 LONGITUDINAL HYDRODYNAMIC MODES 294
8.3.4 DYNAMIC CORRELATION FUNCTION AND SPECTRAL DENSITY 296
8.4 LIGHT SCATTERING 297
8.4.1 SCATTERED ELECTRIC FIELD 299
8.4.2 INTENSITY OF SCATTERED LIGHT 301
8.5 FRICTION ON A BROWNIAN PARTICLE 303
8.6 BROWNIAN MOTION WITH MEMORY 307
8.7 HYDRODYNAMICS OF BINARY M IXTUES 311
8.7.1 ENTROPY PRODUCTION IN BINARY MIXTURES 312
8.7.2 FICK*S LAW FOR DIFFUSION 315
8.7.3 THERMAL DIFFUSION 317
8.8 THERMOELECTRICITY 318
8.8.1 THE PELTIER EFFECT 318
8.8.2 THE SEEBECK EFFECT 320
8.8.3 THOMSON HEAT 321
8.9 SUPERFLUID HYDRODYNAMICS 322
8.9.1 SUPERFLUID HYDRODYNAMIC EQUATIONS 322
8.9.2 SOUND MODES *
8.10 PROBLEMS 329
9 TRANSPORT COEFFICIENTS 333
9.1 INTRODUCTION 333
9.2 ELEMENTARY TRANSPORT THEORY 334
9.2.1 TRANSPORT OF MOLECULAR PROPERTIES 338
9.2.2 THE RATE OF REACTION 339
9.3 THE BOLTZMANN EQUATION 341
9.3.1 DERIVATION OF THE BOLTZMANN EQUATION 342
9.4 LINEARIZED BOLTZMANN EQUATIONS FOR MIXTURES 343
9.4.1 KINETIC EQUATIONS FOR A TWO-COMPONENT GAS 344
9.4.2 COLLISION OPERATORS 346
9.5 COEFFICIENT OF SELF-DIFFUSION 348
9.5.1 DERIVATION OF THE DIFFUSION EQUATION 348
9.5.2 EIGENFREQUENCIES OF THE LORENTZ-BOLTZMANN EQUATION 349
9.6 COEFFICIENTS OFVISCOSITY AND THERMAL CONDUCTIVITY 351
9.6.1 DERIVATION OF THE HYDRODYNAMIC EQUATIONS 351
9.6.2 EIGENFREQUENCIES OF THE BOLTZMANN EQUATION 355
9.6.3 SHEAR VISCOSITY AND THERMAL CONDUCTIVITY 358
9.7 COMPUTATION OF TRANSPORT COEFFICIENTS 359
9.7.1 SONINE POLYNOMIALS 359
9.7.2 DIFFUSION COEFFICIENT 360
9.7.3 THERMAL CONDUCTIVITY 361
9.7.4 SHEAR VISCOSITY 363
9.8 BEYOND THE BOLTZMANN EQUATION 365
* * PROBLEMS 366
10 NONEQUILIBRIUM PHASE TRANSITIONS 369
10.1 INTRODUCTION 369
10.2 NEAR EQUILIBRIUM STABILITY CRITERIA 370
10.3 THE CHEMICALLY REACTING SYSTEMS 372
10.3.1 THE BRUSSELATOR - A NONLINEAR CHEMICAL MODEL 373
10.3.2 BOUNDARY CONDITIONS 374
10.3.3 STABILITY ANALYSIS 375
D.1.5
APPENDIX B EXACT DIFFERENTIALS 417
APPENDIXE ERGODKITY 421
APPENDIX D NUMBER REPRESENTATION 425
SYMMETRIZED AND ANTISYMMETRIZED STATES 425
FREE PARTICLES 426
PARTICLE IN A BOX 426
**-PARTICLE EIGENSTATES 427
SYMMETRIZED MOMENTUM EIGENSTATES FOR BOSE-EINSTEIN
PARTICLES
49.7
ANTISYMMETRIZED MOMENTUM EIGENSTATES FOR FERMI*DIRAC
PARTICLES 428
PARTITION FUNCTIONS AND EXPECTATION VALUES 429
THE NUMBER REPRESENTATION 431
THE NUMBER REPRESENTATION FOR BOSONS 431
THE NUMBER REPRESENTATION FOR FERMIONS 434
THERMODYNAMIC AVERAGES OF QUANTUM OPERATORS 435
APPENDIX E SCATTERING THEORY 437
*.1 CLASSICAL DYNAMICS OF THE SCATTERING PROCESS 437
*.2 THE SCATTERING CROSS SECTION 440
*.3 QUANTUM DYNAMICS OF LOW-ENERGY SCATTERING 442
10.3.4 CHEMICAL CRYSTALS 377
10.4 THE RAYLEIGH-BENARD INSTABILITY 378
10.4.1 HYDRODYNAMIC EQUATIONS AND BOUNDARY CONDITIONS 379
10.4.2 LINEAR STABILITY ANALYSIS 382
10.5 PROBLEMS 385
APPENDIX A PROBABILITY AND STOCHASTIC PROCESSES 387
*.1 PROBABILITY 387
*.1.1 DEFINITION OF PROBABILITY 387
*.1.2 PROBABILITY DISTRIBUTION FUNCTIONS 389
*.1.3 BINOMIAL DISTRIBUTIONS 393
*.1.4 CENTRAL LIMIT THEOREM AND THE LAW OF LARGE NUMBERS 400
*.2 STOCHASTIC PROCESES 402
*.2.1 MARKOV CHAINS 402
*.2.2 THE MASTER EQUATION 405
*.2.3 PROBABILITY DENSITY FOR CLASSICAL PHASE SPACE 409
*.2.4 QUANTUM PROBABILITY DENSITY OPERATOR 412
*.3 PROBLEMS 415
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APPENDIX F USEFUL MATH AND PROBLEM SOLUTIONS 445
E L USEFUL MATHEMATICS 445
*2 SOLUTIONS FOR ODD-NUMBERED PROBLEMS 447
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| edition | 4th revised and updated edition |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV043002992 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:14:47Z |
| institution | BVB |
| isbn | 9783527413492 9783527690497 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028428175 |
| oclc_num | 948795626 |
| open_access_boolean | |
| owner | DE-29T DE-11 DE-19 DE-BY-UBM DE-83 DE-20 DE-703 DE-91G DE-BY-TUM DE-92 |
| owner_facet | DE-29T DE-11 DE-19 DE-BY-UBM DE-83 DE-20 DE-703 DE-91G DE-BY-TUM DE-92 |
| physical | XIII, 467 Seiten Illustrationen, Diagramme |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Wiley-VCH Verlag GmbH & Co. KGaA |
| record_format | marc |
| spelling | Reichl, Linda E. 1942- (DE-588)138557241 aut A modern course in statistical physics Linda E. Reichl 4th revised and updated edition Weinheim Wiley-VCH Verlag GmbH & Co. KGaA [2016] © 2016 XIII, 467 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Literaturverzeichnis Seite 453-458 Statistische Physik - Lehrbuch Statistical physics Statistische Thermodynamik (DE-588)4126251-7 gnd rswk-swf Statistische Physik (DE-588)4057000-9 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Statistische Physik (DE-588)4057000-9 s DE-604 Statistische Mechanik (DE-588)4056999-8 s 1\p DE-604 Statistische Thermodynamik (DE-588)4126251-7 s 2\p DE-604 Thermodynamik (DE-588)4059827-5 s 3\p DE-604 Erscheint auch als Online-Ausgabe, EPUB 978-3-527-69048-0 Erscheint auch als Online-Ausgabe, MOBI 978-3-527-69047-3 Erscheint auch als Online-Ausgabe, PDF 978-3-527-69046-6 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028428175&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Reichl, Linda E. 1942- A modern course in statistical physics Statistische Physik - Lehrbuch Statistical physics Statistische Thermodynamik (DE-588)4126251-7 gnd Statistische Physik (DE-588)4057000-9 gnd Statistische Mechanik (DE-588)4056999-8 gnd Thermodynamik (DE-588)4059827-5 gnd |
| subject_GND | (DE-588)4126251-7 (DE-588)4057000-9 (DE-588)4056999-8 (DE-588)4059827-5 (DE-588)4123623-3 |
| title | A modern course in statistical physics |
| title_auth | A modern course in statistical physics |
| title_exact_search | A modern course in statistical physics |
| title_full | A modern course in statistical physics Linda E. Reichl |
| title_fullStr | A modern course in statistical physics Linda E. Reichl |
| title_full_unstemmed | A modern course in statistical physics Linda E. Reichl |
| title_short | A modern course in statistical physics |
| title_sort | a modern course in statistical physics |
| topic | Statistische Physik - Lehrbuch Statistical physics Statistische Thermodynamik (DE-588)4126251-7 gnd Statistische Physik (DE-588)4057000-9 gnd Statistische Mechanik (DE-588)4056999-8 gnd Thermodynamik (DE-588)4059827-5 gnd |
| topic_facet | Statistische Physik - Lehrbuch Statistical physics Statistische Thermodynamik Statistische Physik Statistische Mechanik Thermodynamik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028428175&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT reichllindae amoderncourseinstatisticalphysics |