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An Introduction to Statistical Mechanics and Thermodynamics [electronic resource] / Robert H. Swendsen.

By: Series: Oxford graduate textsPublication details: Oxford : OUP Oxford, 2012.Description: 1 online resource (422 p.)ISBN:
  • 9780191626982 (ebk.)
  • 0191626988 (ebk.)
Subject(s): DDC classification:
  • 530.13 22
Online resources:
Contents:
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.
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Main Collection Taylor's Library - Perpetual(TU) 530.13 (Browse shelf(Opens below)) e-book SLASx,05000,03,CL,PPT

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.

Description based on print version record.