Statistical mechanics of nonequilibrium processes: 1 Basic concepts, kinetic theory
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| Hauptverfasser: | , , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Akad. Verl. [u.a.]
1996
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| Ausgabe: | 1. ed. |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 375 S. graph. Darst. |
| ISBN: | 3055017080 |
Internformat
MARC
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| 250 | |a 1. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Akad. Verl. [u.a.] |c 1996 | |
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Datensatz im Suchindex
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| adam_text | DMITRII ZUBAREV VLADIMIR MOROZOV GERD ROEPKE STATISTICAL MECHANICS OF
NONEQUILIBRIUM PROCESSES VOLUME 1: BASIC CONCEPTS, KINETIC THEORY
AKADEMIE VERLAG CONTENTS 1 BASIC CONCEPTS OF STATISTICAL MECHANICS 11
1.1 CLASSICAL DISTRIBUTION FUNCTIONS 11 1.1.1 DISTRIBUTION FUNCTIONS IN
PHASE SPACE 11 1.1.2 LIOUVILLE S THEOREM 15 1.1.3 CLASSICAL LIOUVILLE
EQUATION 17 1.1.4 TIME REVERSAL IN CLASSICAL STATISTICAL MECHANICS 20
1.2 STATISTICAL OPERATORS FOR QUANTUM SYSTEMS 23 1.2.1 PURE QUANTUM
ENSEMBLES 24 1.2.2 MIXED QUANTUM ENSEMBLES 27 1.2.3 PASSAGE TO THE
CLASSICAL LIMIT OF THE DENSITY MATRIX 29 1.2.4 SECOND QUANTIZATION 34
1.2.5 QUANTUM LIOUVILLE EQUATION 40 1.2.6 TIME REVERSAL IN QUANTUM
STATISTICAL MECHANICS 43 1.3 ENTROPY 48 1.3.1 GIBBS ENTROPY 48 1.3.2 THE
INFORMATION ENTROPY 54 1.3.3 EQUILIBRIUM STATISTICAL ENSEMBLES 57 1.3.4
EXTREMAL PROPERTY OF THE MICROCANONICAL ENSEMBLE 59 1.3.5 EXTREMAL
PROPERTY OF THE CANONICAL ENSEMBLE 63 1.3.6 EXTREMAL PROPERTY OF THE
GRAND CANONICAL ENSEMBLE 66 1.3.7 ENTROPY AND THERMODYNAMIC RELATIONS 68
1.3.8 NERNST S THEOREM 72 1.3.9 EQUILIBRIUM FLUCTUATIONS OF
THERMODYNAMIC QUANTITIES 76 1.3.10 EQUILIBRIUM FLUCTUATIONS OF DYNAMICAL
VARIABLES 79 APPENDICES TO CHAPTER 1 84 1A TIME-ORDERED EVOLUTION
OPERATORS 84 1B THE MAXIMUM ENTROPY FOR QUANTUM ENSEMBLES 86 PROBLEMS TO
CHAPTER 1 87 8 CONTENTS 2 NONEQUILIBRIUM STATISTICAL ENSEMBLES 89 2.1
RELEVANT STATISTICAL ENSEMBLES 90 2.1.1 REDUCED DESCRIPTION OF
NONEQUILIBRIUM SYSTEMS 90 2.1.2 RELEVANT STATISTICAL DISTRIBUTIONS 96
2.1.3 ENTROPY AND THERMODYNAMIC RELATIONS IN RELEVANT ENSEMBLES . . 98
2.2 EXAMPLES OF RELEVANT DISTRIBUTIONS 100 2.2.1 LOCAL EQUILIBRIUM IN
CLASSICAL FLUIDS 100 2.2.2 RELEVANT DISTRIBUTION FOR CLASSICAL GASES 104
2.2.3 RELEVANT DISTRIBUTION FOR QUANTUM GASES 107 2.2.4 DIAGONAL
RELEVANT DISTRIBUTION FOR QUANTUM SYSTEMS 114 2.2.5 RELEVANT
DISTRIBUTION FOR WEAKLY INTERACTING SUBSYSTEMS . . . . 115 2.3 THE
METHOD OF THE NONEQUILIBRIUM STATISTICAL OPERATOR 117 2.3.1 RETARDED
SOLUTIONS OF THE LIOUVILLE EQUATION 117 2.3.2 GENERALIZED TRANSPORT
EQUATIONS FOR OBSERVABLES 123 2.3.3 ENTROPY PRODUCTION IN NONEQUILIBRIUM
STATES 127 2.3.4 PERTURBATION EXPANSIONS OF STATISTICAL DISTRIBUTIONS
129 2.3.5 EXPONENTIAL FORM OF THE NONEQUILIBRIUM DISTRIBUTION 132 2.3.6
BOUNDARY CONDITIONS FOR THE LIOUVILLE EQUATION AND THE METHOD OF
QUASI-AVERAGES 136 2.4 OTHER APPROACHES TO THE THEORY OF NONEQUILIBRIUM
PROCESSES * 142 2.4.1 ZWANZIG S PROJECTION METHOD 143 2.4.2 ROBERTSON S
PROJECTION METHOD 146 2.4.3 THE METHOD OF ERGODIC CONDITIONS 149 2.5
SIMPLE EXAMPLES OF NONEQUILIBRIUM PROCESSES 154 2.5.1 RELAXATION OF THE
MOMENTUM OF FOREIGN PARTICLES IN A MEDIUM . 154 2.5.2 THE PAULI EQUATION
160 2.5.3 CHEMICAL REACTIONS 164 APPENDICES TO CHAPTER 2 172 2A WICK S
THEOREM FOR NONEQUILIBRIUM QUANTUM GASES 172 2B SOME USEFUL OPERATOR
IDENTITIES 174 2C PROPERTIES OF THE PROJECTION OPERATORS 176 2D BOUNDARY
CONDITIONS IN THE QUANTUM SCATTERING THEORY 179 2E EQUIVALENCE OF
NONEQUILIBRIUM DISTRIBUTIONS 183 PROBLEMS TO CHAPTER 2 186 3 THE
CLASSICAL KINETIC THEORY 188 3.1 CLUSTER EXPANSIONS IN CLASSICAL KINETIC
THEORY 189 3.1.1 THE GENERALIZED KINETIC EQUATION 189 3.1.2 REDUCED
DISTRIBUTION FUNCTIONS 192 3.1.3 HIERARCHY OF EQUATIONS FOR REDUCED
DISTRIBUTION FUNCTIONS . . . . 193 3.1.4 THE BOLTZMANN KINETIC EQUATION
194 3.1.5 CLUSTER EXPANSION OF THE COLLISION INTEGRAL 201 3.2 DIAGRAM
METHODS IN KINETIC THEORY 209 3.2.1 THE DIAGRAM TECHNIQUE 209 3.2.2
DIAGRAM REPRESENTATION OF CORRELATION FUNCTIONS 217 3.2.3 DIAGRAM
REPRESENTATION OF THE COLLISION INTEGRAL 220 3.2.4 SIMPLE EXAMPLES 223
3.3 KINETIC THEORY OF NONIDEAL GASES 227 3.3.1 BOLTZMANN COLLISION
INTEGRAL FOR NONIDEAL GASES 227 3.3.2 THREE-PARTICLE EVENTS 229 3.3.3
MANY-PARTICLE EVENTS 232 3.3.4 THE RELEVANT DISTRIBUTION FOR DENSE GASES
238 3.3.5 THE ENSKOG KINETIC EQUATION 244 3.4 KINETIC EQUATIONS FOR
PLASMAS 248 3.4.1 THE SIMPLEST KINETIC EQUATIONS: VLASOV AND LANDAU 248
3.4.2 THE BINARY CORRELATION FUNCTION FOR PLASMAS 256 3.4.3 THE
BALESCU-LENARD COLLISION INTEGRAL 262 3.4.4 GENERALIZED COLLISION
INTEGRALS 264 APPENDICES TO CHAPTER 3 268 3A NORMAL SOLUTIONS OF THE
BOLTZMANN EQUATION 268 3B CLUSTER EXPANSIONS OF DISTRIBUTION FUNCTIONS
276 3C THE THREE-PARTICLE RESOLVENT 277 3D BINARY CORRELATION FUNCTIONS
FOR LOW-DENSITY GASES 278 3E EVALUATION OF BINARY CORRELATION FUNCTIONS
FOR PLASMAS 280 PROBLEMS TO CHAPTER 3 281 THE QUANTUM KINETIC THEORY 285
4.1 QUANTUM SYSTEMS WITH WEAK INTERACTIONS 286 4.1.1 THE GENERALIZED
QUANTUM KINETIC EQUATIONS 286 4.1.2 THE MARKOVIAN FORM OF THE COLLISION
TERM 290 4.1.3 THE KINETIC EQUATION FOR THE SINGLE-PARTICLE DENSITY
MATRIX . . . 291 4.1.4 THE QUANTUM VLASOV EQUATION 294 4.1.5 THE
DIELECTRIC FUNCTION FOR COLLISIONLESS PLASMAS 297 4.1.6 THE COLLISION
INTEGRAL IN THE BORN APPROXIMATION 302 4.1.7 ELECTRON-PHONON
INTERACTIONS IN METALS 303 4.2 CLUSTER EXPANSIONS IN QUANTUM KINETIC
THEORY 305 4.2.1 QUANTUM HIERARCHY FOR REDUCED DENSITY MATRICES 306
4.2.2 THE QUANTUM BOLTZMANN EQUATION 309 4.2.3 SCATTERING OF ELECTRONS
BY IMPURITIES IN CRYSTALS 315 4.3 KINETIC THEORY OF QUANTUM SYSTEMS
BEYOND THE BOLTZMANN EQUATION . 324 4.3.1 THE APPROXIMATION OF BINARY
CORRELATIONS 325 4.3.2 THE COLLISION INTEGRAL FOR QUANTUM PLASMAS 328
4.3.3 RELEVANT STATISTICAL OPERATORS FOR DENSE QUANTUM SYSTEMS . . . 331
4.3.4 THE QUANTUM ENSKOG EQUATION 335 10 CONTENTS 4.4 QUANTUM KINETIC
PROCESSES IN STRONG EXTERNAL NELDS 341 4.4.1 THE KINETIC EQUATION FOR
WEAKLY INTERACTING SYSTEMS IN AN ALTER- NATING FIELD 341 4.4.2 THE
GAUGE-INVARIANT WIGNER FUNCTION 344 4.4.3 KINETICS OF ELECTRONS IN AN
ELECTROMAGNETIC FIELD 347 4.4.4 THE FIELD CORRECTIONS TO ELECTRIC
CONDUCTIVITY 351 APPENDICES TO CHAPTER 4 354 4A REARRANGEMENT OF THE
QUANTUM COLLISION INTEGRAL 354 4B CONDUCTIVITY IN THE ELECTRON-IMPURITY
SYSTEM 357 4C THE MARKOVIAN FORM OF KINETIC EQUATIONS IN AN ALTERNATING
FIELD 362 PROBLEMS TO CHAPTER 4 363 BIBLIOGRAPHY 367 INDEX 372
|
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| discipline | Physik |
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| institution | BVB |
| isbn | 3055017080 |
| language | English |
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| physical | 375 S. graph. Darst. |
| publishDate | 1996 |
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| publisher | Akad. Verl. [u.a.] |
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| spelling | Zubarev, Dmitrij Nikolaevič 1917-1992 Verfasser (DE-588)106838753X aut Statistical mechanics of nonequilibrium processes 1 Basic concepts, kinetic theory Dmitrii Zubarev ; Vladimir Morozov ; Gerd Röpke 1. ed. Berlin [u.a.] Akad. Verl. [u.a.] 1996 375 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Morozov, Vladimir Verfasser aut Röpke, Gerd 1941- Verfasser (DE-588)135700167 aut (DE-604)BV010999092 1 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007363328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zubarev, Dmitrij Nikolaevič 1917-1992 Morozov, Vladimir Röpke, Gerd 1941- Statistical mechanics of nonequilibrium processes |
| title | Statistical mechanics of nonequilibrium processes |
| title_auth | Statistical mechanics of nonequilibrium processes |
| title_exact_search | Statistical mechanics of nonequilibrium processes |
| title_full | Statistical mechanics of nonequilibrium processes 1 Basic concepts, kinetic theory Dmitrii Zubarev ; Vladimir Morozov ; Gerd Röpke |
| title_fullStr | Statistical mechanics of nonequilibrium processes 1 Basic concepts, kinetic theory Dmitrii Zubarev ; Vladimir Morozov ; Gerd Röpke |
| title_full_unstemmed | Statistical mechanics of nonequilibrium processes 1 Basic concepts, kinetic theory Dmitrii Zubarev ; Vladimir Morozov ; Gerd Röpke |
| title_short | Statistical mechanics of nonequilibrium processes |
| title_sort | statistical mechanics of nonequilibrium processes basic concepts kinetic theory |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007363328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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