ENGLISH

Statistical Mechanics: Fundamentals and Model Solutions

By Teunis C Dorlas

Book information

Publisher
CRC Press
Year
2021
ISBN
2020055180, 9780367471750, 9780367478810, 9781003037170, 0367471752
Language
english
Format
PDF
Filesize
10 MB (10658405 bytes)
Pages
325\348
Time added
2021-11-19 05:30:03

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. 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. Cover Half Title Title Page Copyright Page Dedication Contents Preface Introduction Acknowledgments Section I: 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 Section II: 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: The Thermodynamic Limit Chapter 26: LDP for the Energy Density Section III: 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 the 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 Appendix A: Probability Theory Appendix B: Quantum Mechanics Appendix C: Convexity Index

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