Statistical and Thermal Physics ─ An Introduction

Concepts and relationships in thermal and statistical physics form the foundation for describing systems consisting of macroscopically large numbers of particles. Developing microscopic statistical physics and macroscopic classical thermodynamic descriptions in tandem, Statistical and Thermal Physics: An Introduction provides insight into basic concepts at an advanced undergraduate level. Highly detailed and profoundly thorough, this comprehensive introduction includes exercises within the text as well as end-of-chapter problems.

The first section of the book covers the basics of equilibrium thermodynamics and introduces the concepts of temperature, internal energy, and entropy using ideal gases and ideal paramagnets as models. The chemical potential is defined and the three thermodynamic potentials are discussed with use of Legendre transforms. The second section presents a complementary microscopic approach to entropy and temperature, with the general expression for entropy given in terms of the number of accessible microstates in the fixed energy, microcanonical ensemble. The third section emphasizes the power of thermodynamics in the description of processes in gases and condensed matter. Phase transitions and critical phenomena are discussed phenomenologically.

In the second half of the text, the fourth section briefly introduces probability theory and mean values and compares three statistical ensembles. With a focus on quantum statistics, the fifth section reviews the quantum distribution functions. Ideal Fermi and Bose gases are considered in separate chapters, followed by a discussion of the "Planck" gas for photons and phonons. The sixth section deals with ideal classical gases and explores nonideal gases and spin systems using various approximations. The final section covers special topics, specifically the density matrix, chemical reactions, and irreversible thermodynamics.

Michael J.R. Hoch is a visiting scientist in the National High Magnetic Field Laboratory at Florida State University and an emeritus professor and honorary professorial research fellow at the University of the Witwatersrand.

CLASSICAL THERMAL PHYSICS: THE MICROCANONICAL ENSEMBLE
Introduction to Classical Thermal Physics Concepts: The First and Second Laws of Thermodynamics
Introduction: Basic Concepts
Energy: The First Law
Entropy: The Second Law


Microstates and the Statistical Interpretation of Entropy
Microstates for Large Systems
Entropy and Temperature: Microscopic Statistical Interpretation
Zero Kelvin and the Third Law


Applications of Thermodynamics to Gases and Condensed Matter, Phase Transitions, and Critical Phenomena
Applications of Thermodynamics to Gases: The Maxwell Relations
Applications of Thermodynamics to Condensed Matter
Phase Transitions and Critical Phenomena


QUANTUM STATISTICAL PHYSICS AND THERMAL PHYSICS APPLICATIONS
The Canonical and Grand Canonical Ensembles and Distributions
Ensembles and the Canonical Distribution
The Grand Canonical Distribution


Quantum Distribution Functions, Fermi-Dirac and Bose-Einstein Statistics, Photons, and Phonons
The Quantum Distribution Functions
Ideal Fermi Gas
Ideal Bose Gas
Photons and Phonons—The "Planck Gas"


The Classical Ideal Gas, Maxwell-Boltzmann Statistics, Nonideal Systems
The Classical Ideal Gas
Nonideal Systems


The Density Matrix, Reactions and Related Processes, and Introduction to Irreversible Thermodynamics
The Density Matrix
Reactions and Related Processes
Introduction to Irreversible Thermodynamics


Appendix A: Useful Mathematical Relationships
Appendix B: The Binomial Distribution
Appendix C: Elements of Quantum Mechanics
Appendix D: The Legendre Transform in Thermodynamics
Appendix E: Recommended Texts on Statistical and Thermal Physics



Index