Statistical Mechanics : Fundamentals and Model Solutions book cover
2nd Edition

Statistical Mechanics
Fundamentals and Model Solutions

ISBN 9780367471750
Published April 20, 2021 by CRC Press
347 Pages 104 B/W Illustrations

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Book Description

Statistical Mechanics: Fundamentals and Model Solutions, Second Edition

Fully updated throughout and with new chapters on the Mayer expansion for classical gases and on cluster expansion for lattice models, this new edition of Statistical Mechanics: Fundamentals and Model Solutions provides a comprehensive introduction to equilibrium statistical mechanics for advanced undergraduate and graduate students of mathematics and physics. The author presents a fresh approach to the subject, setting out the basic assumptions clearly and emphasizing the importance of the thermodynamic limit and the role of convexity. With problems and solutions, the book clearly explains the role of models for physical systems, and discusses and solves various models. An understanding of these models is of increasing importance as they have proved to have applications in many areas of mathematics and physics.


  • Updated throughout with new content from the field
  • An established and well-loved textbook
  • Contains new problems and solutions for further learning opportunity


Professor Teunis C. Dorlas is at the Dublin Institute for Advanced Studies, Ireland.

Table of Contents

Part 1. Thermodynamics

Chapter 1. The Zeroth Law

Chapter 2. The First Law

Chapter 3. Differentials

Chapter 4. The Second Law

Chapter 5. Thermal Engines and Refrigerators

Chapter 6. The Fundamental Equation

Chapter 7. Convexity

Chapter 8. Thermodynamic Potentials

Chapter 9. Phase Transitions

Chapter 10. Magnetism

Chapter 11. The Refrigerator and Liquefaction of Gases

Chapter 12. Examples of Phase Transitions

Chapter 13. Equations of State for Solids

Chapter 14. Applications in Chemistry

Chapter 15. Black-body Radiation

Chapter 16. The Big Bang

Chapter 17. The Constitution of Stars

Part 2. Fundamentals of Statistical Mechanics

Chapter 18. Quantum Mechanics

Chapter 19. Non-interacting Localized Spins

Chapter 20. Large Deviation Theory

Chapter 21. The Paramagnet Revisited

Chapter 22. Identical Localized Free Particles

Chapter 23. Quantum Gases

Chapter 24. Ensembles

Chapter 25. Existence of the Thermodynamic Limit

Chapter 26. Large Deviations for the Energy Density

Part 3. Models in Statistical Mechanics

Chapter 27. A Simple Model for Rubber

Chapter 28. The Ising Model

Chapter 29. The Weiss-Ising Model

Chapter 30. The Mean-Field Lattice Gas

Chapter 31. Metals and Electron Gas

Chapter 32. White-Dwarf Stars

Chapter 33. Phonons

Chapter 34. Boson Condensation and Liquid Helium

Chapter 35. Superconductivity

Chapter 36. Mayer Expansion for a Classical Gas

Chapter 37. Cluster Expansion and Polymer Models.

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Professor Teunis C. Dorlas is at the Dublin Institute for Advanced Studies, Ireland.