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# Statistical and Thermal Physics

DOI link for Statistical and Thermal Physics

Statistical and Thermal Physics book

# Statistical and Thermal Physics

DOI link for Statistical and Thermal Physics

Statistical and Thermal Physics book

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## ABSTRACT

Thermal and statistical physics has established the principles and procedures needed to understand and explain the properties of systems consisting of macroscopically large numbers of particles. By developing microscopic statistical physics and macroscopic classical thermodynamic descriptions in tandem, *Statistical and Thermal Physics: An Introduction* provides insight into basic concepts and relationships at an advanced undergraduate level. This second edition is updated throughout, providing a highly detailed, profoundly thorough, and comprehensive introduction to the subject and features exercises within the text as well as end-of-chapter problems.

Part I of this book consists of nine chapters, the first three of which deal with the basics of equilibrium thermodynamics, including the fundamental relation. The following three chapters introduce microstates and lead to the Boltzmann definition of the entropy using the microcanonical ensemble approach. In developing the subject, the ideal gas and the ideal spin system are introduced as models for discussion. The laws of thermodynamics are compactly stated. The final three chapters in Part I introduce the thermodynamic potentials and the Maxwell relations. Applications of thermodynamics to gases, condensed matter, and phase transitions and critical phenomena are dealt with in detail.

Initial chapters in Part II present the elements of probability theory and establish the thermodynamic equivalence of the three statistical ensembles that are used in determining probabilities. The canonical and the grand canonical distributions are obtained and discussed. Chapters 12-15 are concerned with quantum distributions. By making use of the grand canonical distribution, the Fermi–Dirac and Bose–Einstein quantum distribution functions are derived and then used to explain the properties of ideal Fermi and Bose gases. The Planck distribution is introduced and applied to photons in radiation and to phonons on solids. The last five chapters cover a variety of topics: the ideal gas revisited, nonideal systems, the density matrix, reactions, and irreversible thermodynamics. A flowchart is provided to assist instructors on planning a course.

Key Features:

- Fully updated throughout, with new content on exciting topics, including black hole thermodynamics, Heisenberg antiferromagnetic chains, entropy and information theory, renewable and nonrenewable energy sources, and the mean field theory of antiferromagnetic systems
- Additional problem exercises with solutions provide further learning opportunities
- Suitable for advanced undergraduate students in physics or applied physics.

**Michael J.R. Hoch** spent many years as a visiting scientist at the National High Magnetic Field Laboratory at Florida State University, USA. Prior to this, he was a professor of physics and the director of the Condensed Matter Physics Research Unit at the University of the Witwatersrand, Johannesburg, where he is currently professor emeritus in the School of Physics.

## TABLE OF CONTENTS

part Part I|144 pages

Classical Thermal Physics

part Section IA|52 pages

Introduction to Classical Thermal Physics Concepts

part Section IB|43 pages

Microstates and the Statistical Interpretation of Entropy

part Section IC|46 pages

Applications of Thermodynamics to Gases and Condensed Matter, Phase Transitions, and Critical Phenomena

part Part II|161 pages

Quantum Statistical Physics and Thermal Physics Applications

part Section IIA|32 pages

The Canonical and Grand Canonical Ensembles and Distributions

part Section IIB|49 pages

Quantum Distribution Functions, Fermi–Dirac and Bose–Einstein Statistics, Photons, and Phonons

part Section IIC|40 pages

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

part Section IID|37 pages

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