An Introduction to Statistical Mechanics and Thermodynamics
An Introduction to Statistical Mechanics and Thermodynamics:
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Bibliographische Detailangaben
1. Verfasser: Swendsen, Robert H. (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Oxford OUP Oxford 2012
Schriftenreihe:Oxford graduate texts
Schlagworte:
Science
Physics
SCIENCE / Physics / General
Statistical mechanics
Thermodynamics
Naturwissenschaft
Statistische Mechanik
Thermodynamik
Lehrbuch
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Beschreibung:9.5 Properties and Descriptions
Cover; Contents; Preface; 1 Introduction; 1.1 Thermal Physics; 1.2 What are the Questions?; 1.3 History; 1.4 Basic Concepts and Assumptions; 1.5 Road Map; 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; 2.6 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
3.4 Random Numbers and Functions of Random Variables3.5 Mean, Variance, and Standard Deviation; 3.6 Correlation Functions; 3.7 Sets of Independent Random Numbers; 3.8 Binomial Distribution; 3.9 Gaussian Approximation to the Binomial Distribution; 3.10 A Digression on Gaussian Integrals; 3.11 Stirling's Approximation for N!; 3.12 Binomial Distribution with Stirling's Approximation; 3.13 Problems; 4 The Classical Ideal Gas: Configurational Entropy; 4.1 Separation of Entropy into Two Parts; 4.2 Distribution of Particles between Two Subsystems; 4.3 Consequences of the Binomial Distribution
4.4 Actual Number versus Average Number4.5 The 'Thermodynamic Limit'; 4.6 Probability and Entropy; 4.7 An Analytic Approximation for the Configurational; 5 Continuous Random Numbers; 5.1 Continuous Dice and Probability Densities; 5.2 Probability Densities; 5.3 Dirac Delta Functions; 5.4 Transformations of Continuous Random Variables; 5.5 Bayes' Theorem; 5.6 Problems; 6 The Classical Ideal Gas: Energy-Dependence of Entropy; 6.1 Distribution for the Energy between Two Subsystems; 6.2 Evaluation of O[Sub(E)]; 6.3 Probability Distribution for Large N.
6.4 The Logarithm of the Probability Distribution and the Energy-Dependent Terms in the Entropy7 Classical Gases: Ideal and Otherwise; 7.1 Entropy of a Composite System of Classical Ideal Gases; 7.2 Equilibrium Conditions for the Ideal Gas; 7.3 The Volume-Dependence of the Entropy; 7.4 Indistinguishable Particles; 7.5 Entropy of a Composite System of Interacting Particles; 7.6 The Second Law of Thermodynamics; 7.7 Equilibrium between Subsystems; 7.8 The Zeroth Law of Thermodynamics; 7.9 Problems; 8 Temperature, Pressure, Chemical Potential, and All That; 8.1 Thermal Equilibrium
8.2 What do we Mean by 'Temperature'?8.3 Derivation of the Ideal Gas Law; 8.4 Temperature Scales; 8.5 The Pressure and the Entropy; 8.6 The Temperature and the Entropy; 8.7 The Entropy and the Chemical Potential; 8.8 The Fundamental Relation and Equations of State; 8.9 The Diffierential Form of the Fundamental Relation; 8.10 Thermometers and Pressure Gauges; 8.11 Reservoirs; 8.12 Problems; Part II: Thermodynamics; 9 The Postulates and Laws of Thermodynamics; 9.1 Thermal Physics; 9.2 Microscopic and Macroscopic States; 9.3 Macroscopic Equilibrium States; 9.4 State Functions
This text presents the two complementary aspects of thermal physics as an integrated theory of the properties of matter. Conceptual understanding is promoted by thorough development of basic concepts. In contrast to many texts, statistical mechanics, including discussion of the required probability theory, is presented first. This provides a statistical foundation for the concept of entropy, which is central to thermal physics. A unique feature of the book is the development ofentropy based on Boltzmann's 1877 definition; this avoids contradictions or ad hoc corrections found in other texts. D.
Beschreibung:1 Online-Ressource (422 pages)
ISBN:0191626988
128059392X
9780191626982
9781280593925

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