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      Statistical and Thermal Physics
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      Book

      Statistical and Thermal Physics

      DOI link for Statistical and Thermal Physics

      Statistical and Thermal Physics book

      An Introduction

      Statistical and Thermal Physics

      DOI link for Statistical and Thermal Physics

      Statistical and Thermal Physics book

      An Introduction
      ByMichael J.R. Hoch
      Edition 2nd Edition
      First Published 2021
      eBook Published 21 May 2021
      Pub. Location Boca Raton
      Imprint CRC Press
      DOI https://doi.org/10.1201/9781003028604
      Pages 348
      eBook ISBN 9781003028604
      Subjects Physical Sciences
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      Hoch, M.J.R. (2021). Statistical and Thermal Physics: An Introduction (2nd ed.). CRC Press. https://doi.org/10.1201/9781003028604

      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

      chapter 1|14 pages

      Introduction

      Basic Concepts

      chapter 2|17 pages

      Energy

      The First Law

      chapter 3|18 pages

      Entropy

      The Second Law

      part Section IB|43 pages

      Microstates and the Statistical Interpretation of Entropy

      chapter 4|13 pages

      Microstates for Large Systems

      chapter 5|14 pages

      Entropy and Temperature

      Microscopic Statistical Interpretation

      chapter 6|13 pages

      Zero Kelvin and the Third Law

      part Section IC|46 pages

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

      chapter 7|19 pages

      Application of Thermodynamics to Gases

      The Maxwell Relations

      chapter 8|10 pages

      Applications of Thermodynamics to Condensed Matter

      chapter 9|14 pages

      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

      chapter 10|19 pages

      Ensembles and the Canonical Distribution

      chapter 11|10 pages

      The Grand Canonical Distribution

      part Section IIB|49 pages

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

      chapter 12|11 pages

      The Quantum Distribution Functions

      chapter 13|14 pages

      Ideal Fermi Gas

      chapter 14|8 pages

      Ideal Bose Gas

      chapter 15|13 pages

      Photons and Phonons: The “Planck Gas”

      part Section IIC|40 pages

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

      chapter 16|13 pages

      The Classical Ideal Gas

      chapter 17|24 pages

      Nonideal Systems

      part Section IID|37 pages

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

      chapter 18|11 pages

      The Density Matrix

      chapter 19|9 pages

      Reactions and Related Processes

      chapter 20|13 pages

      Introduction to Irreversible Thermodynamics

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