粒子的统计物理学
豆瓣
卡达
简介
《粒子的统计物理学》内容简介：Statistical physics has its origins in attempts to describe the thermal propertiesof matter in terms of its constituent particles, and has played a fundamentalrole in the development of quantum mechanics. It describes how new behavioremerges from interactions of many degrees of freedom, and as such has foundapplications outside physics in engineering, social sciences, and, increasingly,in biological sciences. This textbook introduces the Central concepts and toolsof statistical physics. It includes a chapter on probability and related issues'such as the central limit theorem and information theory, not usually coveredin existing texts. The book also covers interacting particles, and includes a extensive description of the van der Waals equation and its derivation bymean-field approximation. A companion volume, Statistical Physics of Fields,discusses non-mean field aspects of scaling and critical phenomena, throughthe perspective of renormalization group.
目录
Preface1 Thermodynamics1.1 Introduction1.2 The zeroth law1.3 The first law1.4 The second law1.5 Carnot engines1.6 Entropy1.7 Approach to equilibrium and thermodynamic potentials1.8 Useful mathematical results1.9 Stability conditions1.10 The third lawProblems2 Probability2.1 General definitions2.2 One random variable2.3 Some important probability distributions2.4 Many random variables2.5 Sums of random variables and the central limit theorem2.6 Rules for large numbers2.7 Information, entropy, and estimationProblems3 Kinetic theory of gases3.1 General definitions3.2 Liouville's theorem3.3 The Bogoliubov-Born--Green-Kirkwood-Yvon hierarchy3.4 The Boltzmann equation3.5 The H-theorem and irreversibility3.6 Equilibrium properties3.7 Conservation laws3.8 Zeroth-order hydrodynamics3.9 First-order hydrodynamicsProblems4 Classical statistical mechanics4.1 General definitions4.2 The microcanonical ensemble4.3 Two-level systems4.4 The ideal gas4.5 Mixing entropy and the Gibbs paradox4.6 The canonical ensemble4.7 Canonical examples4.8 The Gibbs canonical ensemble4.9 The grand canonical ensembleProblems5 Intenmeting particles5.1 The cumulant expansion5.2 The cluster expansion5.3 The second virial coefficient and van der Waals equation5.4 Breakdown of the van der Waals equation5.5 Mean-field theory of condensation5.6 Variational methods5.7 Corresponding states5.8 Critical point behaviorProblems6 Quantum statistical mechanics6.1 Dilute polyatomic gases6.2 Vibrations of a solid6.3 Black-body radiation6.4 Quantum microstates6.5 Quantum macrostatesProblems7 Ideal quantum gases7.1 Hilbert space of identical particles7.2 Canonical formulation7.3 Grand canonical formulation7.4 Non-relativistic gas7.5 The degenerate fermi gas7.6 The degenerate bose gas7.7 Superfiuid HenProblemsSolutions to selected problemsChapter 1Chapter 2Chapter 3Chapter 4Chapter 5Chapter 6Chapter 7Index
