Description
Oxford Statistical Physics and Thermodynamics An Introduction to Key Concepts 2017 Edition by Jochen Rau
Statistical physics and thermodynamics describe the behaviour of systems on the macroscopic scale. Their methods are applicable to a wide range of phenomena: from refrigerators to the interior of stars, from chemical reactions to magnetism. Indeed, of all physical laws, the laws of thermodynamics are perhaps the most universal. This text provides a concise yet thorough introduction to the key concepts which underlie statistical physics and thermodynamics. It begins with a review of classical probability theory and quantum theory, as well as a careful discussion of the notions of information and entropy, prior to embarking on the development of statistical physics proper. The crucial steps leading from the microscopic to the macroscopic domain are rendered transparent. In particular, the laws of thermodynamics are shown to emerge as natural consequences of the statistical framework. While the emphasis is on clarifying the basic concepts, the textalso contains many applications and classroom-tested exercises, covering all major topics of a standard course on statistical physics and thermodynamics. Table of contents : - 1: Introduction1.1: The Challenge of Statistical Mechanics1.2: Classical Probability2: Quantum Theory2.1: Review of Basic Concepts2.2: Mixed States2.3: Composite Systems3: Constructing the State3.1: Information and Entropy3.2: Maximum Entropy Principle3.3: Thermodynamic Square3.4: Reproducible Processes and the Second Law3.5: Equilibrium and Temperature3.6: Fluctuations4: Simple Systems4.1: Harmonic Oscillator4.2: Rotor4.3: Spin in a Magnetic Field4.4: Paramagnet5: Thermodynamic Limit5.1: Homogeneity5.2: Stability5.3: Equivalence of Ensembles5.4: Four Laws6: Perfect Gas6.1: Generic Properties6.2: Continuum and Classical Limits6.3: Fermi Gas6.4: Bose--Einstein Condensation6.5: Photons6.6: Internal Dynamics6.7: Dilute Solution7: Processes and Responses7.1: Work and Heat7.2: Cycles, Barriers, and Reservoirs7.3: Potentials7.4: Equilibrium and Stability in the Presence of a Reservoir7.5: Coefficients8: Phase Transitions8.1: Coexistence of Phases8.2: First-Order Phase Transition8.3: Second-Order Phase Transition: Ising Model