Introductory Statistical Thermodynamics
By Nils Dalarsson
 Mariana Dalarsson
 Leonardo Golubovic
Introductory Statistical Thermodynamics is a text for an introductory onesemester course in statistical thermodynamics for upperlevel undergraduate and graduate students in physics and engineering. The book offers a high level of detail in derivations of all equations and results. This information is necessary for students to grasp difficult concepts in physics that are needed to move on to higher level courses. The text is elementary, self contained, and mathematically wellfounded, containing a number of problems with detailed solutions to help students to grasp the more difficult theoretical concepts.
Audience
Upperlevel undergraduates, and graduate students of physics and engineering.
Hardbound, 408 Pages
Published: December 2010
Imprint: Academic Press
ISBN: 9780123849564
Reviews

"The book is intended as a text for an introductory course in statistical thermodynamics for undergraduate students of physical sciences or engineering. Parts of the material may be useful as well for a graduate course. The book is quite detailed in explicit derivations of all equations and results, followed by a number of fully solved problems/exercises that illustrate theoretical concepts discussed throughout the book. An introductory chapter contains some very basic quantum mechanical background. The second chapter contains derivations of basic notions of classical statistical mechanics, together with a discussion of general laws of macroscopic thermodynamics. The third chapter addresses various applications to physically interesting cases of ideal and nonideal gases. In the last chapter, a discussion of basic concepts of quantum statistical physics (quantum gases) is followed by a brief discussion of relativistic phenomena." Zentralblatt Math 12251"This book is an excellent introduction to statistical thermodynamics, which covers the fundamental physical concepts used for the macroscopic description of systems with very large number of particles in thermodynamic equilibrium. Also the macroscopic concepts used in this book, are shown to be connected to the appropriate microscopic theories. However, in the literature, statistical thermodynamics is frequently introduced purely from macroscopic point of view. But in general the macroscopic description is largely independent on the details of the microscopic models describing the interactions of the particle in various physical systems. So learning the connection between microscopic and macroscopic concept will definitely enhance the understanding of the subject to great extentâ¦I recommend this book as one of the most lucidly written introductory texts on Statistical Thermodynamics." Contemporary Physics
Contents
1 Introduction
Part I QUANTUM DESCRIPTION OF SYSTEMS
2 Introduction and Basic Concepts
2.1 Systems of Identical Particles
2.2 Quantum Description of Particles
2.3 Problems with Solutions
3 Kinetic energy of Translational Motion
3.1 Hamiltonian of Translational Motion
3.2 SchrÃ¶dinger Equation for Translational Motion
3.4 Normalization of the Wave function
3.5 Quantized Energy of Translational Motion
3.6 Problems with Solutions
4 Energy of Vibrations
4.1 Hamiltonian of Vibrations
4.2 Solution of the SchrÃ¶dinger equation
4.3 Quantized Energy of Vibrations
4.4 Hermite Polynomials
4.5 Normalization of the Wave Function
4.6 Problems with Solutions
5 Kinetic Energy of Rotations
5.1 Hamiltonian of Rotations
5.1.1 Kinetic Energy and Hamiltonian Operator
5.1.2 Angular Momentum Operator
5.2 Solution of the SchrÃ¶dinger equation
5.3 Quantized Energy of Rotations
5.4 Legendre Polynomials
5.5 Normalization of the Wave function
5.6 Spin Angular Momentum
5.7 Problems with Solutions
Part II THERMODYNAMICS OF SYSTEMS
6 Number of accessible states and Entropy
6.1 Introduction and Definitions
6.2 Calculation of the Number of accessible States
6.2.1 Classical Number of Accessible States
6.2.2 Number of Accessible States for Bosons
6.2.3 Number of Accessible States for Fermions
6.3 Problems with Solutions
7 Equilibrium States of Systems
7.1 Equilibrium Conditions
7.2 Occupation Numbers of Energy Levels
7.3 Concept of Temperature
7.4 Problems with Solutions
8 Thermodynamic Variables
8.1 Free Energy and the Partition Function
8.2 Internal Energy. Caloric State Equation
8.3 Pressure. Thermal State Equation
8.4 Classification of Thermodynamic Variables
8.5 Problems with Solutions
9 Macroscopic Thermodynamics
9.1 Changes of States. Heat and Work
9.2.1 Zeroth Law of Thermodynamics
9.2.2 First Law of Thermodynamics
9.2.3 Second Law of Thermodynamics
9.2.4 Third Law of Thermodynamics
9.3 Open Systems
9.4 Thermal Properties of Systems
9.4.1 Isobaric Expansion
9.4.2 Isochoric Expansion
9.4.3 Isothermal Expansion
9.4.4 Relation between Thermal Coefficients
9.5 Caloric Properties of Systems
9.5.1 Specific Heat at Constant Volume cV
9.5.2 Specific Heat at Constant Pressure cP
9.5.3 Relation between Specific Heats
9.6 Relations between Thermodynamic Coefficients
9.7 Problems with Solutions
10 Variable Number of Particles
10.1 Chemical Potential
10.2 Thermodynamic Potential
10.3 Phases and Phase Equilibrium
10.3.1 Latent Heat
10.3.2 ClausiusClapeyron Formula
10.4 Problems with Solutions
Part III IDEAL AND NONIDEAL GASES
11 Ideal Monoatomic Gases
11.1 Continuous Energy Spectrum
11.2 Continuous Partition Function
11.3 Partition Function of Ideal Monoatomic Gases
11.4 Kinetic Theory of Ideal Monoatomic Gases
11.4.1 MaxwellBoltzmannâs Speed Distribution
11.4.2 Most probable Speed of Gas Particles
11.4.3 Average Speed of Gas Particles
11.4.4 RootMeanSquare Speed of Gas Particles
11.4.5 Average Kinetic Energy and Internal Energy
11.4.6 Equipartition Theorem
11.5 Thermodynamics of Ideal Monoatomic Gases
11.5.1 Caloric State Equation
11.5.2 Thermal State Equation
11.5.3 Universal and Particular Gas Constants
11.5.4 Caloric and Thermal Coefficients
11.6 Ideal Gases in External Potentials
11.6.1 General MaxwellBoltzmann distribution
11.6.2 Harmonic and Anharmonic Oscillators
11.6.3 Classical limit of Quantum Partition Function
11.7 Problems with Solutions
12 Ideal Diatomic Gases
12.1 Rotations of Gas Particles
12.2 Vibrations of Gas Particles
12.3 Problems with Solutions
13 Nonideal Gases
13.1 Partition Function for Nonideal Gases
13.2 Free Energy of Nonideal Gases
13.3 Free Energy of Particle Interactions
13.4 Van der Waals Equation
13.5 Caloric State Equation for Nonideal Gases
13.6 Specific Heats for Nonideal Gases
13.7 Problems with Solutions
14 Quasistatic Thermodynamic Processes
14.1 Isobaric Process
14.2 Isochoric Process
14.3 Isothermal Process
14.4 Adiabatic Process
14.5 Polytropic Process
14.6 Cyclic Processes. Carnot Cycle
14.7 Problems with Solutions
Part IV QUANTUM STATISTICAL PHYSICS
15 Quantum Distribution Functions
15.1 Entropy Maximization in Quantum Statistics
15.1.1 The Case of Bosons
15.1.2 The Case of Fermions
15.2 Quantum Equilibrium Distribution
15.3 Helmholtz Thermodynamic Potential
15.4 Thermodynamics of Quantum Systems
15.5 Evaluation of Integrals
15.6 Problems with Solutions
16 Electron Gases in Metals
16.1 Ground State of Electron Gases in Metals
16.2 Electron Gases in Metals at Finite Temperatures
16.3 Chemical Potential at Finite Temperatures
16.4 Thermodynamics of Electron Gases
16.5 Problems with Solutions
17 Photon Gas in Equilibrium
17.1 Planck Distribution
17.2 Thermodynamics of Photon Gas in Equilibrium
17.3 Problems with Solutions
18 Other examples of Boson Systems
18.1 Lattice Vibrations and Phonons
18.1.1 Vibration Modes
18.1.2 Internal Energy of Lattice Vibrations
18.2 BoseEinstein Condensation
18.3 Problems with Solutions
19 Special Topics
19.1 Ultrarelativistic Fermion Gas
19.1.1 Ultrarelativistic Fermion Gas
19.1.2 Ultrarelativistic Fermion Gas
19.2 Thermodynamics of the Expanding Universe
19.2.1 Internal Energy of ElementaryParticle Species
19.2.2 Entropy per Volume Element
19.3 Problems with Solutions
A Physical constants
Bibliography
Index