Statistical Mechanics and Thermodynamics: A Practical Approach

Statistical Mechanics and Thermodynamics: A Practical Approach offers a fresh take on the traditional graduate-level physics course. It emphasizes the tools needed to apply statistical mechanics in research across a wide variety of fields, while maintaining the rigor necessary for a clear exposition. The book is designed to support an active-learning approach, using numerous conceptual questions and example problems with solutions so that students can practice and self-assess their understanding as they progress.

Topics covered include:

  • Boltzmann systems (Boltzmann distribution, partition functions, classical systems, coordinate distributions, Boltzmann transport equation)
  • Quantum systems (degenerate Fermi gases, Pauli paramagnetism, Landau diamagnetism, Bose-Einstein condensation, blackbody radiation, Debye model)
  • Thermodynamics (laws of thermodynamics, entropy, relation between thermodynamics and statistical mechanics, free energy functions, chemical equilibrium, response functions, thermodynamics of magnetic systems)
  • Ensemble theory (microcanonical, canonical and grand canonical ensembles, density matrix theory, phase space, the Liouville equation, kinetic theory)
  • Interacting systems (virial approximation, Ising model, van der Waals gas, phase transitions, critical phenomena)

The order of presentation is motivated by research in pedagogical scaffolding, with the most direct and applicable techniques presented first and more abstract concepts delayed until students have developed a basic level of proficiency. Scaffolding and active learning have seen widespread application in introductory physics courses, but the pedagogy remains effective at all levels.

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Statistical Mechanics and Thermodynamics: A Practical Approach

Statistical Mechanics and Thermodynamics: A Practical Approach offers a fresh take on the traditional graduate-level physics course. It emphasizes the tools needed to apply statistical mechanics in research across a wide variety of fields, while maintaining the rigor necessary for a clear exposition. The book is designed to support an active-learning approach, using numerous conceptual questions and example problems with solutions so that students can practice and self-assess their understanding as they progress.

Topics covered include:

  • Boltzmann systems (Boltzmann distribution, partition functions, classical systems, coordinate distributions, Boltzmann transport equation)
  • Quantum systems (degenerate Fermi gases, Pauli paramagnetism, Landau diamagnetism, Bose-Einstein condensation, blackbody radiation, Debye model)
  • Thermodynamics (laws of thermodynamics, entropy, relation between thermodynamics and statistical mechanics, free energy functions, chemical equilibrium, response functions, thermodynamics of magnetic systems)
  • Ensemble theory (microcanonical, canonical and grand canonical ensembles, density matrix theory, phase space, the Liouville equation, kinetic theory)
  • Interacting systems (virial approximation, Ising model, van der Waals gas, phase transitions, critical phenomena)

The order of presentation is motivated by research in pedagogical scaffolding, with the most direct and applicable techniques presented first and more abstract concepts delayed until students have developed a basic level of proficiency. Scaffolding and active learning have seen widespread application in introductory physics courses, but the pedagogy remains effective at all levels.

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Statistical Mechanics and Thermodynamics: A Practical Approach

Statistical Mechanics and Thermodynamics: A Practical Approach

by Cass Sackett
Statistical Mechanics and Thermodynamics: A Practical Approach

Statistical Mechanics and Thermodynamics: A Practical Approach

by Cass Sackett

Hardcover

$29.99 
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Overview

Statistical Mechanics and Thermodynamics: A Practical Approach offers a fresh take on the traditional graduate-level physics course. It emphasizes the tools needed to apply statistical mechanics in research across a wide variety of fields, while maintaining the rigor necessary for a clear exposition. The book is designed to support an active-learning approach, using numerous conceptual questions and example problems with solutions so that students can practice and self-assess their understanding as they progress.

Topics covered include:

  • Boltzmann systems (Boltzmann distribution, partition functions, classical systems, coordinate distributions, Boltzmann transport equation)
  • Quantum systems (degenerate Fermi gases, Pauli paramagnetism, Landau diamagnetism, Bose-Einstein condensation, blackbody radiation, Debye model)
  • Thermodynamics (laws of thermodynamics, entropy, relation between thermodynamics and statistical mechanics, free energy functions, chemical equilibrium, response functions, thermodynamics of magnetic systems)
  • Ensemble theory (microcanonical, canonical and grand canonical ensembles, density matrix theory, phase space, the Liouville equation, kinetic theory)
  • Interacting systems (virial approximation, Ising model, van der Waals gas, phase transitions, critical phenomena)

The order of presentation is motivated by research in pedagogical scaffolding, with the most direct and applicable techniques presented first and more abstract concepts delayed until students have developed a basic level of proficiency. Scaffolding and active learning have seen widespread application in introductory physics courses, but the pedagogy remains effective at all levels.


Product Details

ISBN-13: 9780960065905
Publisher: Zero K Press
Publication date: 01/01/2019
Pages: 346
Product dimensions: 8.00(w) x 10.00(h) x 0.81(d)

About the Author

Cass Sackett has taught physics at the University of Virginia since 2001. He has been recognized with an All University Teaching Award and as a Mead Endowment Honored Faculty. He pursues research in the field of cold atomic gases, where he is a leader in the use of Bose-Einstein condensates for atom interferometry. He is the author of over fifty articles in both scientific journals and the popular press.

Table of Contents

Introduction 1

1 Boltzmann Distribution 9

1.1 Distribution functions

1.2 Harmonic oscillator

1.3 Partition function

1.4 Ideal gas

1.5 Density of states

1.6 Classical systems

1.7 Coordinate distribution function

2 Quantum Statistics 53

2.1 Fermi–Dirac

2.2 Fermi magnetism

2.3 Bose–Einstein

2.4 Quantum fields

3 Thermodynamics 91

3.1 First law

3.2 Second law

3.3 Statistical mechanics

3.4 Free energy

3.5 Chemical equilibrium

3.6 Response functions

3.7 Magnetic systems

4 Ensemble Theory 145

4.1 Microcanonical

4.2 Canonical

4.3 Grand canonical

4.4 Density matrix

4.5 Phase space density

4.6 Kinetic theory

5 Interacting Systems 187

5.1 Virial expansion

5.2 Ising model

5.3 van der Waals gas

5.4 Phase transitions

5.5 Critical phenomena

A Mathematical Techniques 233

A.1 Geometric series

A.2 Gamma function

A.3 Euler-Maclaurin formula

A.4 Polylogarithms

A.5 Partial derivatives

A.6 Legendre transform

A.7 Lagrange multiplier

B Hints and Solutions 253

Index 307

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