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

Statistical Mechanics of Lattice Systems Volume 1: Closed-Form and Exact Solutions / by David Lavis, George M. Bell.

This two-volume work provides a comprehensive study of the statistical mechanics of lattice models. It introduces the reader to the main areas in statistical mechanics and the theory of phase transitions. The development is built on a firm mathematical and physical basis. Volume 1 contains an accoun...

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Bibliographic Details
Main Authors: Lavis, David (Author), Bell, George M. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
Edition:2nd ed. 1999.
Series:Theoretical and Mathematical Physics,
Springer eBook Collection.
Subjects:
Statistical physics.
Dynamical systems.
Condensed matter.
Probabilities.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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