The book aims to bridge the gap between standard textbooks on the subject and more advanced books, discussing in a more thorough way the foundations of both classical and quantum statistical mechanics. It is devised for a one-semester graduate course on statistical mechanics. Its prerequisite is therefore a more elementary course on the same subject. Emphasis is laid on the geometrical aspects of classical thermodynamics, on the foundational problems, and on selected applications (mainly to spin systems), the meaning of quantum statistics, phase transitions, critical phenomena, and the renormalization group.
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Contents:
- Thermodynamics
- Equilibrium Classical Statistical Mechanics
- Equilibrium Quantum Statistical Mechanics
- Phase Transitions and Critical Phenomena
- The Renormalization Group and Critical Phenomena
- Appendices
- Bibliography
- Index
Readership: Physicists, mathematicians and graduate students.
“This is a textbook of Statistical Mechanics, intending readers in 1st- and 2nd-year graduate level students … Beautiful and intelligible explanations covering many (but not all) areas of the study have stronger accent on mathematical perspectives compared to physical perspectives. From the point, this book might be well accepted by the students of theoretical studies.”
Bulletin of Japan Physical Society