A modern course in statistical physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
WILEY-VCH
2009
|
| Ausgabe: | 3., rev. and updated ed. |
| Schriftenreihe: | Physics textbook
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XVI, 411 S. Ill., graph. Darst. |
| ISBN: | 9783527407828 |
Internformat
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Datensatz im Suchindex
| _version_ | 1805092646247464960 |
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| adam_text |
LINDA E. REICH! A MODERN COURSE IN STATISTICAL PHYSICS 3RD REVISED AND
UPDATED EDITION WILEY- VCH WILEY-VCH VERLAG GMBH & CO. KGAA I V CONTENTS
PREFACE TO THE THIRD EDITION XIII PREFACE TO THE FIRST EDITION XV 1
INTRODUCTION 1 2 COMPLEXITY AND ENTROPY 5 2.1 INTRODUCTION 5 2.2
COUNTING MICROSCOPIC STATES 5 2.3 MULTIPLICITY AND ENTROPY OF
MACROSCOPIC PHYSICAL STATES 9 2.4 MULTIPLICITY AND ENTROPY OF A SPIN
SYSTEM 10 2.4.1 MULTIPLICITY OF A SPIN SYSTEM 10 2.4.2 ENTROPY OF SPIN
SYSTEM 11 2.4.2.1 ENTROPY AND FLUCTUATIONS ABOUT EQUILIBRIUM 12 2.4.2.2
ENTROPY AND TEMPERATURE 12 2.5 MULTIPLICITY AND ENTROPY OF AN EINSTEIN
SOLID 14 2.5.1 MULTIPLICITY OF AN EINSTEIN SOLID 15 2.5.2 ENTROPY OF THE
EINSTEIN SOLID 15 2.6 MULTIPLICITY AND ENTROPY OF AN IDEAL GAS 16 2.6.1
MULTIPLICITY OF AN IDEAL GAS 17 2.6.2 ENTROPY OF AN IDEAL GAS 18 2.7
PROBLEMS 19 3 THERMODYNAMICS 21 3.1 INTRODUCTION 21 3.2 ENERGY
CONSERVATION 23 3.3 ENTROPY 24 3.3.1 CARNOT ENGINE 24 3.3.2 THE THIRD
LAW 28 3.4 FUNDAMENTAL EQUATION OF THERMODYNAMICS 29 3.5 THERMODYNAMIC
POTENTIALS 32 3.5.1 INTERNAL ENERGY 33 3.5.2 ENTHALPY 34 3.5.3 HELMHOLTZ
FREE ENERGY 35 A MODEM COURSE IN STATISTICAL PHYSICS, 3RD EDITION. LINDA
E. REICHL COPYRIGHT 2009 WILEY-VCH VERLAG GMBH & CO. KGAA, WEINHEIM
ISBN: 978-3-527-40782-8 VI CONTENTS 3.5.4 GIBBS FREE ENERGY 37 3.5.5
GRAND POTENTIAL 38 3.6 RESPONSE FUNCTIONS 40 3.6.1 THERMAL RESPONSE
FUNCTIONS (HEAT CAPACITY) 40 3.6.2 MECHANICAL RESPONSE FUNCTIONS 42 3.7
STABILITY OF THE EQUILIBRIUM STATE 45 3.7* CONDITIONS FOR LOCAL
EQUILIBRIUM IN A PVT SYSTEM 45 3.7.2 CONDITIONS FOR LOCAL STABILITY IN A
PVT SYSTEM 46 3.7.3 IMPLICATIONS OF THE STABILITY REQUIREMENTS FOR THE
FREE ENERGIES 50 3.7.4 CORRELATIONS BETWEEN FLUCTUATIONS 52 3.8 COOLING
AND LIQUEFACTION OF GASES 55 3.9 OSMOTIC PRESSURE IN DILUTE SOLUTIONS 58
3.10 THE THERMODYNAMICS OF CHEMICAL REACTIONS 61 3.10.1 THE AFFINITY 62
3.11 PROBLEMS 67 4 THE THERMODYNAMICS OF PHASE TRANSITIONS 75 4.1
INTRODUCTION 75 4.2 COEXISTENCE OF PHASES: GIBBS PHASE RULE 76 4.3
CLASSIFICATION OF PHASE TRANSITIONS 77 4.4 CLASSICAL PURE PVT SYSTEMS 79
4.4.1 PHASE DIAGRAMS 79 4.4.2 COEXISTENCE CURVES: CLAUSIUS-CLAPEYRON
EQUATION 80 4.4.3 LIQUID-VAPOR COEXISTENCE REGION 83 4.4.3.1 LEVER RULE
84 4.4.3.2 LAW OF CORRESPONDING STATES 84 4.4.3.3 RESPONSE FUNCTIONS IN
THE COEXISTENCE REGION 85 4.4.4 THE VAN DER WAALS EQUATION 87 4.4.5
STEAM ENGINES - THE RANKINE CYCLE 90 4.5 BINARY MIXTURES 93 4.5.1
EQUILIBRIUM CONDITIONS 94 4.6 THE HELIUM LIQUIDS 96 4.6.1 LIQUID HE 4 97
4.6.1.1 THERMOMECHANICAL EFFECT 97 4.6.2 LIQUID HE 3 99 4.6.3 LIQUID HE
3 -HE 4 MIXTURES 100 4.7 SUPERCONDUCTORS 101 4.8 GINZBURG-LANDAU THEORY
104 4.8.1 THEORETICAL BACKGROUND 105 4.8.2 APPLICATIONS OF
GINZBURG-LANDAU THEORY 108 4.8.2.1 SUPERFLUIDS 108 4.8.2.2 THE CURIE
POINT 108 4.8.2.3 SUPERCONDUCTORS 109 4.9 CRITICAL EXPONENTS 110
CONTENTS VII 4.9.1 DEFINITION OF CRITICAL EXPONENTS 110 4.9.2 THE
CRITICAL EXPONENTS FOR PURE PVT SYSTEMS 111 4.9.3 THE CRITICAL EXPONENTS
FOR THE CURIE POINT 113 4.9.4 THE CRITICAL EXPONENTS FOR MEAN FIELD
THEORIES 114 4.10 PROBLEMS 116 5 EQUILIBRIUM STATISTICAL MECHANICS I -
CANONICAL ENSEMBLE 121 5.1 INTRODUCTION 121 5.2 PROBABILITY DENSITY
OPERATOR-CANONICAL ENSEMBLE 123 5.2.1 ENERGY FLUCTUATIONS 124 5.3
SEMICLASSICAL IDEAL GAS OF INDISTINGUISHABLE PARTICLES 125 5.3.1
APPROXIMATIONS TO THE PARTITION FUNCTION FOR SEMICLASSICAL IDEAL GASES
126 5.3.2 MAXWELL-BOLTZMANN DISTRIBUTION 129 5.4 INTERACTING CLASSICAL
FLUIDS 131 5.4.1 DENSITY CORRELATIONS AND THE RADIAL DISTRIBUTION
FUNCTION 132 5.4.2 MAGNETIZATION DENSITY CORRELATIONS 134 5.5 HEAT
CAPACITY OFADEBYE SOLID 135 5.6 ORDER-DISORDER TRANSITIONS ON SPIN
LATTICES 139 5.6.1 EXACT SOLUTION FOR A ONE-DIMENSIONAL LATTICE 240
5.6.2 MEAN FIELD THEORY FOR A D-DIMENSIONAL LATTICE 142 5.6.3 MEAN FIELD
THEORY OF SPATIAL CORRELATION FUNCTIONS 245 5.6.4 EXACT SOLUTION TO
ISING LATTICE FOR D = 2 146 5.7 SCALING 248 5.7.1 HOMOGENEOUS FUNCTIONS
148 5.7.2 WIDOM SCALING 249 5.7.3 KADANOFF SCALING 152 5.8 MICROSCOPIC
CALCULATION OF CRITICAL EXPONENTS 255 5.8.1 GENERAL THEORY 156 5.8.2
APPLICATION TO TRIANGULAR LATTICE 158 5.8.3 THE S 4 MODEL 262 5.9
PROBLEMS 263 6 EQUILIBRIUM STATISTICAL MECHANICS II - GRAND CANONICAL
ENSEMBLE 267 6.1 INTRODUCTION 267 6.2 THE GRAND CANONICAL ENSEMBLE 168
6.2.1 PARTICLE NUMBER FLUCTUATIONS 269 6.2.2 IDEAL CLASSICAL GAS 170 6.3
VIRIAL EXPANSION FOR INTERACTING CLASSICAL FLUIDS 172 6.3.1 VIRIAL
EXPANSION AND CLUSTER FUNCTIONS 272 6.3.2 THE SECOND VIRIAL COEFFICIENT,
B 2 (1) 174 6.3.2.1 SQUARE-WELL POTENTIAL 275 6.3.2.2 LENNARD-JONES 6-12
POTENTIAL 276 6.4 BLACK BODY RADIATION 278 6.5 IDEAL QUANTUM GASES 282
VIII CONTENTS 6.6 IDEAL BOSE-EINSTEIN GAS 183 6.6.1 BOSE-EINSTEIN
CONDENSATION 187 6.6.2 EXPERIMENTAL OBSERVATION OF BOSE-EINSTEIN
CONDENSATION 189 6.7 IDEAL FERMI-DIRAC GAS 191 6.8 MOMENTUM CONDENSATION
IN AN INTERACTING FERMI FLUID 197 6.9 PROBLEMS 204 7 BROWNIAN MOTION AND
FLUCTUATION-DISSIPATION 207 7.1 INTRODUCTION 207 7.2 BROWNIAN MOTION 208
7.2.1 LANGEVIN EQUATION 209 7.2.2 CORRELATION FUNCTION AND SPECTRAL
DENSITY 210 7.3 THE FOKKER-PLANCK EQUATION 212 7.3.1 PROBABILITY FLOW IN
PHASE SPACE 214 7.3.2 PROBABILITY FLOW FOR BROWNIAN PARTICLE 214 7.3.3
THE STRONG FRICTION LIMIT 217 7.3.3.1 SPECTRAL DECOMPOSITION OF THE
FOKKER-PLANCK EQUATION 218 7.4 DYNAMIC EQUILIBRIUM FLUCTUATIONS 221
7.4.1 REGRESSION OF FLUCTUATIONS 223 7.4.2 WIENER-KHINTCHINE THEOREM 225
7.5 LINEAR RESPONSE THEORY AND THE FLUCTUATION - DISSIPATION THEOREM 226
7.5.1 LINEAR RESPONSE THEORY AND THE FLUCTUATION - DISSIPATION THEOREM
227 7.5.2 CAUSALITY 228 7.5.2.1 PIECE-WISE CONSTANT FORCE 230 7.5.3 THE
FLUCTUATION-DISSIPATION THEOREM 231 7.5.4 POWER ABSORPTION 233 7.5.4.1
DELTA FUNCTION FORCE 234 7.5.4.2 OSCILLATING FORCE 234 7.6 MICROSCOPIC
LINEAR RESPONSE THEORY 235 7.6.1 THE PERTURBED DENSITY OPERATOR 235
7.6.2 THE ELECTRIC CONDUCTANCE 236 7.6.3 POWER ABSORPTION 241 7.6.4
THERMAL NOISE 242 7.7 PROBLEMS 243 8 HYDRODYNAMICS 247 8.1 INTRODUCTION
247 8.2 NAVIER-STOKES HYDRODYNAMIC EQUATIONS 248 8.2.1 BALANCE EQUATIONS
248 8.2.1.1 MASS DENSITY EQUATIONS 250 8.2.1.2 MOMENTUM BALANCE EQUATION
250 8.2.1.3 ENERGY AND ENTROPY BALANCE EQUATIONS 252 8.2.2 ENTROPY
SOURCE AND ENTROPY CURRENT 253 8.2.3 TRANSPORT COEFFICIENTS 257 8.3
LINEARIZED HYDRODYNAMIC EQUATIONS 260 8.3.1 LINEARIZATION OF THE
HYDRODYNAMIC EQUATIONS 260 8.3.2 TRANSVERSE HYDRODYNAMIC MODES 264 8.3.3
LONGITUDINAL HYDRODYNAMIC MODES 265 8.3.4 DYNAMIC CORRELATION FUNCTION
AND SPECTRAL DENSITY 267 8.4 LIGHT SCATTERING 268 8.4.1 SCATTERED
ELECTRIC FIELD 270 8.4.2 INTENSITY OF SCATTERED LIGHT 272 8.5
HYDRODYNAMICS OF MIXTURES 274 8.5.1 ENTROPY PRODUCTION IN MULTICOMPONENT
SYSTEMS 275 8.5.2 FICK'S LAW FOR DIFFUSION 277 8.5.3 THERMAL DIFFUSION
279 8.6 THERMOELECTRICITY 280 8.6.1 THE PELTIER EFFECT 280 8.6.2 THE
SEEBECK EFFECT 282 8.6.3 THOMSON HEAT 284 8.7 SUPERFLUID HYDRODYNAMICS
284 8.7.1 SUPERFLUID HYDRODYNAMIC EQUATIONS 284 8.7.2 SOUND MODES 288
8.8 PROBLEMS 291 9 TRANSPORT COEFFICIENTS 295 9.1 INTRODUCTION 295 9.2
ELEMENTARY TRANSPORT THEORY 295 9.2.1 THE MEAN FREE PATH 296 9.2.2 THE
COLLISION FREQUENCY 296 9.2.3 TRACER PARTICLE CURRENT 298 9.2.4
TRANSPORT OF MOLECULAR PROPERTIES 300 9.2.5 THE RATE OF REACTION 301 9.3
THE BOLTZMANN EQUATION 303 9.3.1 DERIVATION OF THE BOLTZMANN EQUATION
304 9.4 LINEARIZED BOLTZMANN EQUATION 304 9.4.1 KINETIC EQUATIONS FOR A
TWO-COMPONENT GAS 305 9.4.2 COLLISION OPERATORS 306 9.5 COEFFICIENT OF
SELF-DIFFUSION 308 9.5.1 DERIVATION OF THE DIFFUSION EQUATION 308 9.5.2
EIGENFREQUENCIES OF THE LORENTZ-BOLTZMANN EQUATION 309 9.6 COEFFICIENTS
OF VISCOSITY AND THERMAL CONDUCTIVITY 311 9.6.1 DERIVATION OF THE
HYDRODYNAMIC EQUATIONS 311 9.6.2 EIGENFREQUENCIES OF THE BOLTZMANN
EQUATION 315 9.6.3 SHEAR VISCOSITY AND THERMAL CONDUCTIVITY 317 9.7
COMPUTATION OF TRANSPORT COEFFICIENTS 318 9.7.1 SONINE POLYNOMIALS 319
9.7.2 DIFFUSION COEFFICIENT 319 9.7.3 THERMAL CONDUCTIVITY 321 X I
CONTENTS 9.7.4 SHEAR VISCOSITY 323 9.8 PROBLEMS 324 10 NONEQUILIBRIUM
PHASE TRANSITIONS 327 10.1 INTRODUCTION 327 10.2 NEAR EQUILIBRIUM
STABILITY CRITERIA 328 10.3 THE CHEMICALLY REACTING SYSTEMS 330 10.3.1
THE BRUSSELATOR - A NONLINEAR CHEMICAL MODEL 330 10.3.2 BOUNDARY
CONDITIONS 332 10.3.2.1 CASE I BOUNDARY CONDITIONS 332 10.3.2.2 CASE II
BOUNDARY CONDITIONS 332 10.3.3 STABILITY ANALYSIS 333 10.3.3.1 REAL
FREQUENCY 10.3.3.2 COMPLEX FREQUENCY CO(K) 334 10.3.4 CHEMICAL CRYSTALS
335 10.4 THE RAYLEIGH-BENARD INSTABILITY 337 10.4.1 HYDRODYNAMIC
EQUATIONS AND BOUNDARY CONDITIONS 337 10.4.1.1 RIGID SURFACE BOUNDARY
CONDITIONS 339 10.4.1.2 SMOOTH SURFACE BOUNDARY CONDITIONS 339 10.4.2
LINEAR STABILITY ANALYSIS 340 10.5 PROBLEMS 343 APPENDIX A PROBABILITY
345 A.L DEFINITION OF PROBABILITY 345 A.2 PROBABILITY DISTRIBUTION
FUNCTIONS 347 A.2.1 DISCRETE STOCHASTIC VARIABLES 348 A.2.2 CONTINUOUS
STOCHASTIC VARIABLES 348 A.2.3 CHARACTERISTIC FUNCTION 349 A.2.4 JOINTLY
DISTRIBUTED STOCHASTIC VARIABLES 350 A.3 BINOMIAL DISTRIBUTIONS 351
A.3.1 THE BINOMIAL DISTRIBUTION 351 A.3.2 THE GAUSSIAN (OR NORMAL)
DISTRIBUTION 353 A.3.3 THE POISSON DISTRIBUTION 356 A.4 MARKOV CHAINS
358 A.5 PROBABILITY DENSITY FOR CLASSICAL PHASE SPACE 359 A.6 QUANTUM
PROBABILITY DENSITY OPERATOR 363 A. 7 PROBLEMS 366 APPENDIX * EXACT
DIFFERENTIALS 369 APPENDIXC ERGODICITY 373 APPENDIX D NUMBER
REPRESENTATION 377 D.L THE NUMBER REPRESENTATION 383 D.L.L THE NUMBER
REPRESENTATION FOR BOSONS 383 D.I.2 THE NUMBER REPRESENTATION FOR
FERMIONS 385 D.1.3 THERMODYNAMIC AVERAGES OF QUANTUM OPERATORS 387
CONTENTS XI APPENDIX E SCATTERING THEORY 389 APPENDIX F USEFUL
MATHEMATICS AND INFORMATION 395 F.L SERIES EXPANSIONS 395 F.2 REVERSION
OF SERIES 395 F.3 DERIVATIVES 395 F.4 INTEGRALS 395 REFERENCES 397 INDEX
403 |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV035627710 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T10:14:54Z |
| institution | BVB |
| isbn | 9783527407828 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017682722 |
| oclc_num | 320495227 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-29T DE-20 DE-703 DE-634 DE-83 DE-11 DE-91G DE-BY-TUM DE-355 DE-BY-UBR |
| owner_facet | DE-19 DE-BY-UBM DE-29T DE-20 DE-703 DE-634 DE-83 DE-11 DE-91G DE-BY-TUM DE-355 DE-BY-UBR |
| physical | XVI, 411 S. Ill., graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | WILEY-VCH |
| record_format | marc |
| series2 | Physics textbook |
| spelling | Reichl, Linda E. 1942- Verfasser (DE-588)138557241 aut A modern course in statistical physics Linda E. Reichl 3., rev. and updated ed. Weinheim WILEY-VCH 2009 XVI, 411 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Physics textbook Statistische Physik - Lehrbuch Statistical physics Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf Statistische Thermodynamik (DE-588)4126251-7 gnd rswk-swf Statistische Physik (DE-588)4057000-9 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 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3192034&prov=M&dok_var=1&dok_ext=htm Inhaltstext GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017682722&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 Mechanik (DE-588)4056999-8 gnd Thermodynamik (DE-588)4059827-5 gnd Statistische Thermodynamik (DE-588)4126251-7 gnd Statistische Physik (DE-588)4057000-9 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4059827-5 (DE-588)4126251-7 (DE-588)4057000-9 (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 Mechanik (DE-588)4056999-8 gnd Thermodynamik (DE-588)4059827-5 gnd Statistische Thermodynamik (DE-588)4126251-7 gnd Statistische Physik (DE-588)4057000-9 gnd |
| topic_facet | Statistische Physik - Lehrbuch Statistical physics Statistische Mechanik Thermodynamik Statistische Thermodynamik Statistische Physik Lehrbuch |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3192034&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017682722&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT reichllindae amoderncourseinstatisticalphysics |