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

Lavis, David A.

Brossura

ISBN 10: 3642084117 ISBN 13: 9783642084119

Casa editrice: Springer Berlin Heidelberg, 2010

Riassunto

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.

Su questo libro

Contenuti:

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.

Dalla quarta di copertina:

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 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. Volume 2 includes extensive treatments of scaling theory, algebraic and real-space renormalization methods and the eight-vertex model. It also includes an account of series methods and a treatment of dimer assemblies.

Su questa edizione

• Editore: Springer Berlin Heidelberg
• Data di pubblicazione: 2010
• ISBN 10: 3642084117
• ISBN 13: 9783642084119
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 384