Thermodynamics and Statistical Mechanics

By Alan Herries Wilson
290
2026

Description

The subject of thermodynamics was being developed on a postulatory basis long before we understood the nature or behavior of the elementary constituents of matter. As we became more familiar with these constituents, we were still slow to place our trust in the "new" field of quantum mechanics, which was telling us that their behaviors could be described correctly and accurately using probabilities and statistics. The influence of this historical sequence has lingered in our traditional thermodynamics curriculum. Until recently, we continued to teach an introductory course using the more formal and abstract postulatory approach. Now, however, there is a growing feeling that the statistical approach is more effective. It demonstrates the firm physical and statistical basis of thermodynamics by showing how the properties of macroscopic systems are direct consequences of the behaviors of their elementary constituents. An added advantage of this approach is that it is easily extended to include some statistical mechanics in an introductory course. It gives the student a broader spectrum of skills as well as a better understanding of the physical bases. This book is intended for use in the standard junior or senior undergraduate course in thermodynamics, and it assumes no previous knowledge of the subject. It introduces the subject as simply and succinctly as possible, with enough applications to indicate the relevance of the results but not so many as might risk losing the student in details. There are many advanced books of high quality that can help the interested student probe more deeply into the subject and its more specialized applications. It tries to tie everything straight to fundamental concepts, and i avoid "slick tricks" and the "pyramiding" of results. It remains focused on the basic ideas and physical causes, because it believes this will help students better understand, retain, and apply the tools and results that we develop. This book is intended for use in the standard junior or senior undergraduate course in thermodynamics, and it assumes no previous knowledge of the subject. It tries to introduce the subject as simply and succinctly as possible, with enough applications to indicate the relevance of the results but not so many as might risk losing the student in details. This introductory textbook for standard undergraduate courses in thermodynamics has been completely rewritten to explore a greater number of topics, more clearly and concisely. Starting with an overview of important quantum behaviours, the book teaches students how to calculate probabilities in order to provide a firm foundation for later chapters. It introduces the ideas of classical thermodynamics and explores them both in general and as they are applied to specific processes and interactions. The remainder of the book deals with statistical mechanics.

About Author

Prof. Alan Herries Wilson is a professor of physics at California Polytechnic State University and has worked there for 22 years. He has spent time at the University of Washington, Harvard, the University of North Carolina, and the University of Michigan. As well as having written the many books on Statistical Mechanics, he has also written books on ocean science. He is a well-known researcher in statistical mechanics who has made significant contributions to this field. His book offers a fresh perspective on the foundations of statistical thermodynamics. It includes a number of new results and novel derivations, and provides an intriguing alternative to existing monographs. Especially of note are the simple graphs and figures that illustrate the text throughout and the logical organization of the material. Thermodynamics and Statistical Mechanics will be an invaluable and comprehensive reference manual for research scientists. This text can be used as a complement to existing texts and for supplementary reading.

Table of Content

Preface
1. Introduction 

1.1 Thermodynamic States
2. Laws of Thermodynamics 
2.1 Zeroth law of thermodynamics
2.2 First Law of Thermodynamics 
2.3 Second Law of Thermodynamics 
2.4 Entropy
2.5 Third law of thermodynamics 

3. System State 
3.1 Control volume 
3.2 Ideal Gas 
3.3 Real gas 

4. System Processes 
4.1 Isobaric Process 
4.2 Isochoric Process 
4.3 Isothermal Process 
4.4 Adiabatic Process
4.5 Polytropic Process 

5. System Properties 
5.1 Introduction to Entropy 
5.2 Entropy 
5.3 Thermodynamic Temperature 
5.4 Volume

6. Material Properties
6.1 Heat Capacity 
6.2 Compressibility 
6.3 Thermal Expansion 

7. Potentials 
7.1 Thermodynamic Potential 
7.2 Enthalpy 

8. Fundamental Thermodynamic Relation
8.1 Carnot cycle 
9. Philosophy 
9.1 Heat Death Paradox 
9.2 Loschmidt’s Paradox 

10. Energy In Thermal Physics 
10.1 Temperature And Energy 
10.2 Heat And Work 

11. Statistical Thermodynamics 
11.1 Postulates Of Statistical Mechanics 
11.2 Macrostate and Microstate 
11.3 Ergodichypothisis 
11.4 The Most Probable Macrostate 
11.5 Life Time Of Microstate 
11.6 Macroscopic Systems In Thermal Contact 

12. Thermodynamic Description of a System 
12.1 Basic Terminology 
12.2 Thermodynamic State Of A System And Thermodynamic Variables 
12.3 Thermodynamic Processes 

13. The Zeroth Law 
13.1 The Zeroth Law Of Thermodynamics 
13.2 The Equation Of State 
13.3 Deductions From The Equation Of State 

14. The First Law And Its Applications 
14.1 Nature Of Heat 
14.2 Work
14.3 Expression For Work 
14.4 Internal Energy
14.5 The First Law Of Thermodynamics 
14.6 Heat Capacities Of A Gas 
14.7 Equation Of State For An Adiabatic Process

15. Statistical Mechanics 
15.1 Elementary Probability Theory 
15.2 Description Of A System In Equilibrium 
15.3 Entropy And Probability

16. Classical Statistics 
16.1 Maxwell-Boltzmann Distribution Function 
16.2 Partition Function Of A Monatomic Gas 
16.3 Single-Particle Partition Function 
16.4 N-Particle Partition Function

17. Quantum Statistics 
17.1 Need For Quantum Statistics
17.2 Bose-Einstein Distribution Function
17.3 Comparison Of Different Distributions 
17.4 Applications Of Bose-Einstein Statistics 

Bibliography 
Index