Statistical Mechanics of Lattice Systems: A Concrete Mathematical IntroductionКНИГИ » ЕСТЕСТВЕННЫЕ НАУКИ
Автор: Sacha Friedli, Yvan Velenik Название: Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction Издательство: Cambridge University Press Год: 2017 ISBN: 1107184827 Язык: English Формат: pdf Размер: 11,2 mb Страниц: 628
This motivating textbook gives a friendly, rigorous introduction to fundamental concepts in equilibrium statistical mechanics, covering a selection of specific models, including the Curie-Weiss and Ising models, the Gaussian free field, O(n) models, and models with Ka? interactions. Using classical concepts such as Gibbs measures, pressure, free energy, and entropy, the book exposes the main features of the classical description of large systems in equilibrium, in particular the central problem of phase transitions. It treats such important topics as the Peierls argument, the Dobrushin uniqueness, Mermin-Wagner and Lee-Yang theorems, and develops from scratch such workhorses as correlation inequalities, the cluster expansion, Pirogov-Sinai Theory, and reflection positivity. Written as a self-contained course for advanced undergraduate or beginning graduate students, the detailed explanations, large collection of exercises (with solutions), and appendix of mathematical results and concepts also make it a handy reference for researchers in related areas.
Analytical Mechanics Название: Analytical Mechanics Автор: Nivaldo A. Lemos Издательство: Год: 2018 Формат: PDF Страниц: 475 Размер: 10,02 МБ Язык: English Analytical...
The Two-Dimensional Ising Model: Second Edition Название: The Two-Dimensional Ising Model: Second Edition Автор: Barry M. McCoy and Tai Tsun Wu Издательство: Dover Publications Год: 2014 Формат:...