Statistical Mechanics of Lattice Systems: Volume 2: Exact, Series and Renormalization Group Methods

ISBN-13: 9783540644361 / Angielski / Twarda / 1999 / 430 str.

David Lavis; D. A. Lavis; George M. Bell

Opis

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 group methods and the eight-vertex model. It also includes an account of series methods and a treatment of dimer assemblies.

Spis treści

1. Thermodynamics and Statistical Mechanics.- 2. Phase Transitions and Scaling Theory.- 3. Landau and Landau-Ginzburg Theory.- 4. Algebraic Methods in Statistical Mechanics.- 5. The Eight-Vertex Model.- 6. Real-Space Renormalization Group Theory.- 7. Series Methods.- 8. Dimer Assemblies.- A. Appendices.- References and Author Index.

Blurb

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 group renormalization methods and the eight-vertex model. It also includes an account of series methods and a treatment of dimer assemblies.