2nd Edition
Statistical Mechanics Fundamentals and Model Solutions
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.
Features
- Updated throughout with new content from the field
- An established and well-loved textbook
- Contains new problems and solutions for further learning opportunity
Author
Professor Teunis C. Dorlas is at the Dublin Institute for Advanced Studies, Ireland.
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.
Biography
Author
Professor Teunis C. Dorlas is at the Dublin Institute for Advanced Studies, Ireland.
