Cart
Free Shipping in Australia
Proud to be B-Corp

Statistical Mechanics of Lattice Systems Sacha Friedli (Ecole Polytechnique Federale de Lausanne)

Statistical Mechanics of Lattice Systems By Sacha Friedli (Ecole Polytechnique Federale de Lausanne)

Statistical Mechanics of Lattice Systems by Sacha Friedli (Ecole Polytechnique Federale de Lausanne)


$187.19
Condition - New
Only 2 left

Summary

Interest in network effects and phase changes in systems is bringing statistical mechanics to the heart of science and engineering. This rigorous introduction for advanced undergraduate or beginning graduate students in mathematics and physics teaches important concepts by studying specific models, and includes many exercises, with solutions.

Statistical Mechanics of Lattice Systems Summary

Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction by Sacha Friedli (Ecole Polytechnique Federale de Lausanne)

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 Kac 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.

Statistical Mechanics of Lattice Systems Reviews

'Rigorous Statistical Mechanics has a long tradition, starting in the 1960s with Dobrushin, Lanford, Ruelle, Sinai and many other mathematical physicists. Yet, surprisingly, there has not been an up-to-date textbook on an introductory level. This gap is bridged masterly by the present book. It addresses the curious newcomer by employing a carefully designed structure, which starts from a physics introduction and then uses the two-dimensional Ising model as a stepping-stone towards the richness of the subject. The book will be enjoyed by students and researchers with an interest in either theoretical condensed matter physics or probability theory.' Herbert Spohn, Technische Universitat Munchen
'An excellent introduction to classical equilibrium statistical mechanics. There is clear concern with the understanding of ideas and concepts behind the various tools and models. Topics are presented through examples, making this book a genuine 'concrete mathematical introduction'. While reading it, my first wish was to use it as soon as possible in a course. It is a 'must' for the libraries of graduate programs in mathematics or mathematical physics.' Maria Eulalia Vares, Universidade Federal do Rio de Janeiro
'This book is a marvelous introduction to equilibrium statistical mechanics for mathematically inclined readers, which does not sacrifice clarity in the pursuit of mathematical rigor. The book starts with basic definitions and a crash course in thermodynamics, and gets to sophisticated topics such as cluster expansions, the Pirogov-Sinai theory and infinite volume Gibbs measures through the discussion of concrete models. This book should be on the bookshelf of any serious student, researcher and teacher of mathematical statistical mechanics.' Ofer Zeitouni, Weizmann Institute, Israel
'Sacha Friedli and Yvan Velenik have succeeded in writing a unique, modern treatise on equilibrium statistical mechanics. They cover many fundamental concepts, techniques and examples in a didactic manner, providing a remarkable source of knowledge, grounded and refined by years of experience. Stimulating and appealing, this book is likely to inspire generations of students and scientists.' Francis Comets, Universite Paris Diderot
'The authors have created an impressive book that shows its strengths in several ways: thoughtful organization and a well-designed presentation, real attention to the needs of the reader, and a very nice guide to the existing literature. It could be a model of how mathematical physics should be presented.' Bill Satzer, MAA Reviews

About Sacha Friedli (Ecole Polytechnique Federale de Lausanne)

Sacha Friedli is Associate Professor of Mathematics at the Universidade Federal de Minas Gerais, Brazil. His current research interests are in statistical mechanics, mathematical physics, and Markov processes. Yvan Velenik is Professor of Mathematics at the Universite de Geneve. His current work focuses on applications of probability theory to the study of classical statistical mechanics, especially lattice random fields and random walks.

Table of Contents

Preface; Convention; 1. Introduction; 2. The Curie-Weiss model; 3. The Ising model; 4. Liquid-vapor equilibrium; 5. Cluster expansion; 6. Infinite-volume Gibbs measures; 7. Pirogov-Sinai theory; 8. The Gaussian free field on Zd; 9. Models with continuous symmetry; 10. Reflection positivity; A. Notes; B. Mathematical appendices; C. Solutions to exercises; Bibliography; Index.

Additional information

NPB9781107184824
9781107184824
1107184827
Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction by Sacha Friedli (Ecole Polytechnique Federale de Lausanne)
New
Hardback
Cambridge University Press
2017-11-23
640
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Statistical Mechanics of Lattice Systems