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: Friedli, Sacha, Velenik, Yvan
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: Friedli, Sacha, Velenik, Yvan
Publication date: 2017
Publisher: Cambridge University Press
Format: Hardcover 640 pages

Summary

Acknowledged authors Friedli, Sacha, Velenik, Yvan wrote Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction comprising 640 pages back in 2017. Textbook and eTextbook are published under ISBN 1107184827 and 9781107184824. Since then Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

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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