Statistical physics of particles

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1. Verfasser: Kardar, Mehran (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 2007
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Datensatz im Suchindex

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adam_text Contents Preface page ix 1 Thermodynamics 1 1.1 Introduction 1 1.2 Thezerothlaw 2 1.3 The first law 5 1.4 The second law 8 1.5 Carnot engines 10 1.6 Entropy 13 1.7 Approach to equilibrium and thermodynamic potentials 16 1.8 Useful mathematical results 20 1.9 Stability conditions 22 1.10 The third law 26 Problems 29 2 Probability 35 2.1 General definitions 35 2.2 One random variable 36 2.3 Some important probability distributions 40 2.4 Many random variables 43 2.5 Sums of random variables and the central limit theorem 45 2.6 Rules for large numbers 47 2.7 Information, entropy, and estimation 50 Problems 52 3 Kinetic theory of gases 57 3.1 General definitions 57 3.2 Liouville s theorem 59 3.3 The Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy 62 3.4 The Boltzmann equation 65 3.5 The Н -theorem and irreversibility 7 1 3.6 Equilibrium properties 75 3.7 Conservation laws 78 vi Contents 3.8 Zeroth-order hydrodynamics 82 3.9 First-order hydrodynamics 84 Problems 87 4 Classical statistical mechanics 98 4.1 General definitions 98 4.2 The microcanonical ensemble 98 4.3 Two-level systems 102 4.4 The ideal gas 105 4.5 Mixing entropy and the Gibbs paradox 107 4.6 The canonical ensemble 110 4.7 Canonical examples 113 4.8 The Gibbs canonical ensemble 115 4.9 The grand canonical ensemble 118 Problems 120 5 Interacting particles 126 5.1 The cumulant expansion 126 5.2 The cluster expansion 130 5.3 The second virial coefficient and van der Waals equation 135 5.4 Breakdown of the van der Waals equation 139 5.5 Mean-field theory of condensation 141 5.6 Variational methods 143 5.7 Corresponding states 145 5.8 Critical point behavior 146 Problems 148 6 Quantum statistical mechanics 156 6.1 Dilute polyatomic gases 156 6.2 Vibrations of a solid 161 6.3 Black-body radiation 167 6.4 Quantum microstates 170 6.5 Quantum macrostates 172 Problems 175 7 Ideal quantum gases 181 7.1 Hubert space of identical particles 181 7.2 Canonical formulation 184 7.3 Grand canonical formulation 187 7.4 Non-relativistic gas 188 7.5 The degenerate fermi gas 190 7.6 The degenerate bose gas 7.7 Superfluid He4 Problems Solutions to selected problems Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Index Contents VII 194 198 202 211 211 224 235 256 268 285 300 318
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physical x, 320 Seiten Diagramme
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spellingShingle Kardar, Mehran
Statistical physics of particles
Statistical mechanics Textbooks
Statistical physics Textbooks
Statistische Mechanik (DE-588)4056999-8 gnd
subject_GND (DE-588)4056999-8
(DE-588)4143389-0
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title Statistical physics of particles
title_auth Statistical physics of particles
title_exact_search Statistical physics of particles
title_full Statistical physics of particles Mehran Kardar
title_fullStr Statistical physics of particles Mehran Kardar
title_full_unstemmed Statistical physics of particles Mehran Kardar
title_short Statistical physics of particles
title_sort statistical physics of particles
topic Statistical mechanics Textbooks
Statistical physics Textbooks
Statistische Mechanik (DE-588)4056999-8 gnd
topic_facet Statistical mechanics Textbooks
Statistical physics Textbooks
Statistische Mechanik
Aufgabensammlung
Lehrbuch
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