Statistical Mechanics

Fully updated throughout and with new chapters on the Mayer expansion for classical gases and on cluster expansion for lattice models

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.

Autorentext

Author

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

Klappentext

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.

Inhalt
Part 1. Thermodynamics. 1. The Zeroth Law. 2. The First law. 3. Differentials. 4. The Second law. 5. Thermal Engines and Refrigerators. 6. The Fundamental Equation. 7. Convexity. 8. Thermodynamic Potentials. 9. Phase Transitions. 10. Magnetism. 11. The Refrigerator and Liquefaction of Gases. 12. Examples of Phase Transitions. 13. Equations of State for Solids. 14. Applications in Chemistry. 15. Black-body Radiation. 16. The Big Bang. 17. The Constitution of Stars. Part 2. Fundamentals of Statistical Mechanics. 18. Quantum Mechanics. 19. Non-interacting Localized Spins. 20. Large Deviation Theory. 21. The Paramagnet Revisited. 22. Identical Localized Free Particles. 23. Quantum Gases. 24. Ensembles. 25. Existence of the Thermodynamic Limit. 26. Large Deviations for the Energy Density. part 3. models in Statistical Mechanics. 27. A Simple Model for Rubber. 28. The Ising Model. 29. The Weiss-Ising Model. 30. The Mean-Field Lattice Gas. 31. Metals and Electron Gas. 32. White-Dwarf Stars. 33. Phonons. 34. Boson Condensation and Liquid Helium. 35. Superconductivity. 36. Mayer Expansion for a Classical Gas. 37. Cluster Expansion and Polymer Models.