Sebanyak 1 item atau buku ditemukan

Statistical Mechanics of Lattice Systems

Volume 2: Exact, Series and Renormalization Group Methods

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.

Volume 2: Exact, Series and Renormalization Group Methods David Lavis,
George M. Bell. 4. Algebraic Methods in Statistical Mechanics 4.1 Introduction
There are rather few models in statistical mechanics which have been solved
exactly and many of these can be formulated in vertex form (see Chap. 5 and
Baxter 1982a). In the absence of such solutions, two alternative methods of attack
have been to determine 'rigorous' conditions for the existence of phase
transitions, or bounds ...