Statistical Mechanics of Lattice Systems

A Concrete Mathematical Introduction

Nonfiction, Science & Nature, Mathematics, Statistics, Science
Cover of the book Statistical Mechanics of Lattice Systems by Yvan Velenik, Sacha Friedli, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Yvan Velenik, Sacha Friedli ISBN: 9781316884935
Publisher: Cambridge University Press Publication: November 23, 2017
Imprint: Cambridge University Press Language: English
Author: Yvan Velenik, Sacha Friedli
ISBN: 9781316884935
Publisher: Cambridge University Press
Publication: November 23, 2017
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Employment, Labour and Industrial Law in Australia by Yvan Velenik, Sacha Friedli
Cover of the book Women and Human Development by Yvan Velenik, Sacha Friedli
Cover of the book Parasite Diversity and Diversification by Yvan Velenik, Sacha Friedli
Cover of the book The Rationalization of Miracles by Yvan Velenik, Sacha Friedli
Cover of the book A Concise History of Switzerland by Yvan Velenik, Sacha Friedli
Cover of the book Shi'i Islam by Yvan Velenik, Sacha Friedli
Cover of the book The Golem by Yvan Velenik, Sacha Friedli
Cover of the book Nerve Cells and Animal Behaviour by Yvan Velenik, Sacha Friedli
Cover of the book Short Introduction to Strategic Management by Yvan Velenik, Sacha Friedli
Cover of the book Case Studies in Neuroanesthesia and Neurocritical Care by Yvan Velenik, Sacha Friedli
Cover of the book Elite Parties, Poor Voters by Yvan Velenik, Sacha Friedli
Cover of the book Wittgenstein in the 1930s by Yvan Velenik, Sacha Friedli
Cover of the book Irish Nationalist Women, 1900–1918 by Yvan Velenik, Sacha Friedli
Cover of the book Essentials of Positioning and Location Technology by Yvan Velenik, Sacha Friedli
Cover of the book The Venetian Discovery of America by Yvan Velenik, Sacha Friedli
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy