An introduction to statistical mechanics and thermodynamics

• Verfasst von: Swendsen, Robert H. [VerfasserIn]
• Titel: An introduction to statistical mechanics and thermodynamics
• Verf.angabe: Robert H. Swendsen
• Ausgabe: Second edition
• Verlagsort: Oxford
• Verlag: Oxford University Press
• Jahr: 2020
• Umfang: 1 Online-Ressource (xxvi, 460 Seiten)
• Illustrationen: Diagramme
• Gesamttitel/Reihe: Oxford graduate texts
• Fussnoten: Description based on publisher supplied metadata and other sources
• ISBN: 978-0-19-259463-1
• Schlagwörter: (s)Statistische Mechanik
• Schlagwörter: (s)Thermodynamik
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Swendsen, Robert H.: An introduction to statistical mechanics and thermodynamics. - Second edition. - Oxford : Oxford University Press, 2020. - xxvi, 460 Seiten
• Sach-SW: Electronic books
• K10plus-PPN: 1809596521
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

An Introduction to Statistical Mechanics and Thermodynamics returns with a second edition includes new chapters, further explorations, and updated information into the study of statistical mechanics and thermal dynamics.

Abstract

Cover -- An Introduction to Statistical Mechanics -- Copyright -- Dedication -- Preface to the Second Edition -- Preface to the First Edition -- Contents -- 1 Introduction -- 1.1 Thermal Physics -- 1.2 What are the Questions? -- 1.3 History -- 1.4 Basic Concepts and Assumptions -- 1.4.1 State Functions -- 1.4.2 Irreversibility -- 1.4.3 Entropy -- 1.5 Plan of the Book -- Part I: Entropy -- 2 The Classical Ideal Gas -- 2.1 Ideal Gas -- 2.2 Phase Space of a Classical Gas -- 2.3 Distinguishability -- 2.4 Probability Theory -- 2.5 Boltzmann's Definition of the Entropy -- 2.5 Boltzmann's Definition of the Entropy -- 2.6 S = k log W -- 2.7 Independence of Positions and Momenta -- 2.8 Road Map for Part I -- 3 Discrete Probability Theory -- 3.1 What is Probability? -- 3.2 Discrete Random Variables and Probabilities -- 3.3 Probability Theory for Multiple Random Variables -- 3.3.1 Marginal and Conditional Probability -- 3.3.2 Independent Variables -- 3.3.3 Pairwise Independence and Mutual Independence -- 3.4 Random Numbers and Functions of Random Variables -- Example: Probability of the Sum of Two Dice -- 3.5 Mean, Variance, and Standard Deviation -- 3.6 Correlation Function -- 3.7 Sets of Independent Random Numbers -- 3.8 Binomial Distribution -- 3.8.1 Derivation of the Binomial Distribution -- 3.8.2 Useful Identities for the Binomial Coefficients -- 3.9 Gaussian Approximation to the Binomial Distribution -- 3.10 A Digression on Gaussian Integrals -- 3.11 Stirling's Approximation for N! -- 3.11.1 The Simplest Version of Stirling's Approximation -- 3.11.2 A Better Version of Stirling's Approximation -- 3.11.3 Gosper's Approximation -- 3.11.4 Using Stirling's Approximation -- 3.12 Binomial Distribution with Stirling's Approximation -- 3.13 Multinomial Distribution -- 3.14 Problems -- Sample program to simulate rolling a single die.