×

Uh-oh, it looks like your Internet Explorer is out of date.

For a better shopping experience, please upgrade now.

Statistical Mechanics of Lattice Systems: Volume 1: Closed-Form and Exact Solutions / Edition 2
     

Statistical Mechanics of Lattice Systems: Volume 1: Closed-Form and Exact Solutions / Edition 2

by David Lavis, George M. Bell
 

See All Formats & Editions

ISBN-10: 3642084117

ISBN-13: 9783642084119

Pub. Date: 12/07/2010

Publisher: Springer Berlin Heidelberg

This two-volume work provides a comprehensive study of the statistical mechanics of lattice models. It introduces readers to the main topics and the theory of phase transitions, building on a firm mathematical and physical basis. Volume 1 contains an account of mean-field and cluster variation methods successfully used in many applications in solid-state physics

Overview

This two-volume work provides a comprehensive study of the statistical mechanics of lattice models. It introduces readers to the main topics and the theory of phase transitions, building on a firm mathematical and physical basis. Volume 1 contains an account of mean-field and cluster variation methods successfully used in many applications in solid-state physics and theoretical chemistry, as well as an account of exact results for the Ising and six-vertex models and those derivable by transformation methods.

Product Details

ISBN-13:
9783642084119
Publisher:
Springer Berlin Heidelberg
Publication date:
12/07/2010
Series:
Theoretical and Mathematical Physics Series
Edition description:
Softcover reprint of hardcover 2nd ed. 1999
Pages:
369
Product dimensions:
0.79(w) x 9.21(h) x 6.14(d)

Table of Contents

1. Introduction to Thermodynamics and Phase Transitions.- 2. Statistical Mechanics and the One-Dimensional Ising Model.- 3. The Mean-Field Approximation, Scaling and Critical Exponents.- 4. Antiferromagnets and Other Magnetic Systems.- 5. Lattice Gases.- 6. Solid Mixtures and the Dilute Ising Model.- 7. Cluster Variation Methods.- 8. Exact Results for Two-Dimensional Ising Models.- 9. Applications of Transform Methods.- 10. The Six-Vertex Model.- A. Appendices.- A.1 Regular Lattices.- A.2 Elliptic Integrals and Functions.- A.2.1 Elliptic Integrals.- A.2.2 Elliptic Functions.- A.2.3 Results Required for Chapter 8.- A.3 The Water Molecule and Hydrogen Bonding.- A.4 Results for the Six-Vertex Model.- A.4.1 The Proof of I.- A.4.2 The Proof of II.- A.4.3 The Proof of III.- A.4.4 The Proof of IV.- A.5 Fourier Transforms and Series.- A.5.1 Fourier Transforms.- A.5.2 Fourier Series.- References and Author Index.

Customer Reviews

Average Review:

Post to your social network

     

Most Helpful Customer Reviews

See all customer reviews