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Physics - Complexity | Statistical Mechanics of Lattice Systems - Volume 2: Exact, Series and Renormalization Group Methods

Statistical Mechanics of Lattice Systems

Volume 2: Exact, Series and Renormalization Group Methods

Lavis, David, Bell, George M.

1999, XII, 430 p.

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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.

Content Level » Research

Keywords » Phase transition - Renormalization group - STEM - cluster variation method - mean-field approximation - renormalization method - scaling

Related subjects » Complexity - Materials - Probability Theory and Stochastic Processes

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