Statistical mechanics, kinetic theory, and stochastic processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Acad. Press
1972
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 602 S. Ill., graph. Darst. |
| ISBN: | 0123365503 |
Internformat
MARC
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| 100 | 1 | |a Heer, Clifford V. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Statistical mechanics, kinetic theory, and stochastic processes |c C. V. Heer |
| 264 | 1 | |a New York [u.a.] |b Acad. Press |c 1972 | |
| 300 | |a XVI, 602 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Gaz, Théorie cinétique des | |
| 650 | 4 | |a Mécanique statistique | |
| 650 | 4 | |a Processus stochastiques | |
| 650 | 7 | |a Statistische mechanica |2 gtt | |
| 650 | 4 | |a Kinetic theory of gases | |
| 650 | 4 | |a Statistical mechanics | |
| 650 | 4 | |a Stochastic processes | |
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Datensatz im Suchindex
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Contents
Preface ix
List of Symbols xiii
I MASS POINT GAS
1.1 Introduction 1
1.2 Uniform Space Distributions 1
1.3 Nonuniform Space Distributions 3
1.4 Average or Expected Value of Observable Quantities 4
1.5 Average or Expected Free Paths 6
1.6 Mass Point Gas 8
1.7 Effusive Flow of a Mass Point Gas 10
1.8 Pressure of a Mass Point Gas 12
1.9 Speed Distribution Function 15
1.10 Momentum Transfer and Heat Transfer in Free Molecular Flow 22
1.11 Free Molecular Flow 25
References 35
II RADIATION
2.1 Introduction 36
2.2 Electromagnetic Radiation 37
2.3 Thermal Radiation 43
2.4 Surface Absorption and Emission of Thermal Radiation 45
2.5 Radiation Pressure 48
2.6 Experimental Verification of the Frequency Distribution of Thermal Radiation 51
2.7 Radiation Temperature 56
2.8 Interaction of Radiation with an Atom 58
2.9 Thermal Radiation in Enclosures Containing Matter 64
2.10 Absorption and Emission of Radiation by Matter 65
2.11 Motion through Thermal Radiation 69
References 72
III PROBABILITY, STATISTICS, AND CONDITIONAL PROBABILITY
3.1 Introduction 73
3.2 Integral Valued Random Variables 73
3.3 Useful Mathematical Formulas 78
3.4 Random Walk 79
3.5 Binomial and Poisson Distributions 84
3.6 Central Limit Theorem 87
v
Vi CONTENTS
3.7 Conditional Probability 89
3.8 Physical Processes Continuous in Space and Time 98
3.9 Random Walk with Absorbing Boundaries 104
3.10 Some Probability Laws Frequently Encountered in Physics 109
References 112
General References 112
IV INTERMOLECULAR INTERACTIONS
4.1 Introduction 113
4.2 Classical Elastic Collisions 115
4.3 Quantum Aspects of Elastic Collisions 120
4.4 Cross Sections for Diffusion and Viscosity 131
4.5 Elastic and Inelastic Binary Collisions 135
4.6 Inelastic Scattering Cross Section 153
4.7 Atomic Cross Sections from Atomic Beam Experiments 163
4.8 Interaction of Molecules with Solid Surfaces 166
References 173
V TRANSPORT PHENOMENA
5.1 Introduction 175
5.2 Elementary Theory of Transport 175
5.3 Gas Dynamics 182
5.4 Nonequilibrium Properties of the Distribution Function 190
5.5 General Transport Equations 194
5.6 Equilibrium Mixture of Two Gases 197
5.7 Diffusion 198
5.8 Sound Waves in Gases 200
References 204
VI STATISTICAL THERMODYNAMICS
6.1 Introduction 205
6.2 Laws of Thermodynamics 205
6.3 Thermodynamic Functions 214
6.4 Statistical Physics 218
References 228
General References 228
VII MOLECULAR SYSTEMS AT LOW DENSITIES
7.1 Nearly Ideal Gases 230
7.2 Photon Gas 234
7.3 Bose and Fermi Distributions 236
CONTENTS Vii
7.4 Chemical Reactions 240
7.5 Thermal Ionization and Excitation of Atoms 240
7.6 Thermodynamic Properties of Heteronuclear Diatomic Molecules . 247
7.7 Homonuclear Diatomic Molecules 252
7.8 Equipartition Theorem 256
7.9 Gases at Very High Temperatures 261
7.10 Paramagnetism 266
References 277
VIII NONIDEAL AND REAL GASES
8.1 Nonideal Gases 279
8.2 Cluster Expansion 279
8.3 Equation of State and Second Virial Coefficient 281
8.4 Second Virial Coefficients for Classical, Fermi Dirac, and Bose Einstein
Gases 287
8.5 Second Virial Coefficient for Molecular Gases with Interaction 291
8.6 Intermolecular Potentials 301
8.7 Degenerate Fermi Dirac Gas—Electrons in Metals and in Very Dense Matter 305
8.8 Degenerate Bose Einstein Gas 318
References 323
IX GASES, LIQUIDS, AND SOLIDS
9.1 Introduction 325
9.2 Thermodynamic Aspects of Equilibrium between Phases 326
9.3 Phonon Gas 333
9.4 Thermodynamic Systems that Are Composed of Different Particles . 341
9.5 The Third Law of Thermodynamics 345
9.6 Binary Mixtures 355
9.7 A Combinatorial Problem 372
9.8 Experimental Critical Points 397
9.9 Surface Gas Phase Equilibrium 402
References 410
X STOCHASTIC PROCESSES, NOISE, AND FLUCTUATIONS
10.1 Introduction 413
10.2 Thermal Motion of a One Dimensional System 414
10.3 Random Pulses 419
10.4 Correlation Function and Spectral Density 423
10.5 Response of a Simple Harmonic Oscillator to Random Pulses and Thermal
Noise 427
10.6 Correlation Function and Spectral Density for Brownian Motion . 433
10.7 Response of Electrical Circuits to Random Pulses and Thermal Noise . . 435
Viii CONTENTS
10.8 Fluctuation Dissipation Theorem 440
10.9 Fluctuations in Thermal Radiation 442
10.10 General Theory of Fluctuations in Statistical Thermodynamics 444
10.11 Correlation of Fluctuations and Measurement with Waves 450
10.12 Nonlinear Physical Systems 469
10.13 Characteristic Functions for Random Pulses 478
10.14 Random Processes 482
References 491
XI STOCHASTIC PROCESSES IN QUANTUM SYSTEMS
11.1 Introduction 493
11.2 Elementary Theory of Transition Rates 494
11.3 Density Matrix and the Response of Atoms and Molecules to Perturbations 497
11.4 Natural Line Width 513
11.5 Recoilless Emission and the Mossbauer Effect 518
11.6 Damping and the Golden Rule for Transition Rates 526
11.7 Theory for Broadening of Spectral Lines in Gases 534
11.8 Scattering by Crystals, Liquids, and High Pressure Gases 548
References 586
Appendix A: FUNDAMENTAL CONSTANTS 589
Appendix B: GAUSSIAN INTEGRALS 590
Index 591 |
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| language | English |
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| spelling | Heer, Clifford V. Verfasser aut Statistical mechanics, kinetic theory, and stochastic processes C. V. Heer New York [u.a.] Acad. Press 1972 XVI, 602 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Gaz, Théorie cinétique des Mécanique statistique Processus stochastiques Statistische mechanica gtt Kinetic theory of gases Statistical mechanics Stochastic processes Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Statistische Mechanik (DE-588)4056999-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001268763&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heer, Clifford V. Statistical mechanics, kinetic theory, and stochastic processes Gaz, Théorie cinétique des Mécanique statistique Processus stochastiques Statistische mechanica gtt Kinetic theory of gases Statistical mechanics Stochastic processes Statistische Mechanik (DE-588)4056999-8 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4123623-3 |
| title | Statistical mechanics, kinetic theory, and stochastic processes |
| title_auth | Statistical mechanics, kinetic theory, and stochastic processes |
| title_exact_search | Statistical mechanics, kinetic theory, and stochastic processes |
| title_full | Statistical mechanics, kinetic theory, and stochastic processes C. V. Heer |
| title_fullStr | Statistical mechanics, kinetic theory, and stochastic processes C. V. Heer |
| title_full_unstemmed | Statistical mechanics, kinetic theory, and stochastic processes C. V. Heer |
| title_short | Statistical mechanics, kinetic theory, and stochastic processes |
| title_sort | statistical mechanics kinetic theory and stochastic processes |
| topic | Gaz, Théorie cinétique des Mécanique statistique Processus stochastiques Statistische mechanica gtt Kinetic theory of gases Statistical mechanics Stochastic processes Statistische Mechanik (DE-588)4056999-8 gnd |
| topic_facet | Gaz, Théorie cinétique des Mécanique statistique Processus stochastiques Statistische mechanica Kinetic theory of gases Statistical mechanics Stochastic processes Statistische Mechanik Lehrbuch |
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