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Cambridge University Press Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction

Name: Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction
Brand: Cambridge University Press
Price: 56.79 GBP
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Applied Mathematics

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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.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1107184827
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 23 November 2017
Listed Since: 23 April 2017

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Cambridge University Press Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction

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