Using a variety of specific models, such as the Curie-Weiss and Ising models, the Gaussian free field, O(n) models, and models with Ka interactions, this inspiring textbook provides a simple, thorough introduction to basic principles in equilibrium statistical mechanics.
The book reveals the key aspects of the traditional account of massive systems in equilibrium, particularly the important issue of phase transitions, using classical concepts like Gibbs measurements, pressure, free energy, and entropy.
The Peierls argument, the Dobrushin uniqueness, the Mermin-Wagner, and the Lee-Yang theorems are all addressed, and it builds from the ground up popular concepts like correlation inequalities, cluster expansion, Pirogov-Sinai Theory, and reflection positivity.
Written as a self-contained course for advanced undergraduate or beginning graduate students, the appendix of mathematical results and concepts, extensive collection of problems, and clear explanations also make it a useful resource for scholars in related fields.
