9781107184824-1107184827-Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction

Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction

ISBN-13: 9781107184824
ISBN-10: 1107184827
Edition: 1
Author: Sacha Friedli, Yvan Velenik
Publication date: 2017
Publisher: Cambridge University Press
Format: Hardcover 640 pages
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Book details

ISBN-13: 9781107184824
ISBN-10: 1107184827
Edition: 1
Author: Sacha Friedli, Yvan Velenik
Publication date: 2017
Publisher: Cambridge University Press
Format: Hardcover 640 pages

Summary

Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction (ISBN-13: 9781107184824 and ISBN-10: 1107184827), written by authors Sacha Friedli, Yvan Velenik, was published by Cambridge University Press in 2017. With an overall rating of 3.9 stars, it's a notable title among other Applied (Mathematics) books. You can easily purchase or rent Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction (Hardcover) from BooksRun, along with many other new and used Applied books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $2.43.

Description

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 Kać 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.

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