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

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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.

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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:
Front Matter....Pages I-XII
Thermodynamics and Statistical Mechanics....Pages 1-14
Phase Transitions and Scaling Theory....Pages 15-87
Landau and Landau-Ginzburg Theory....Pages 89-112
Algebraic Methods in Statistical Mechanics....Pages 113-165
The Eight-Vertex Model....Pages 167-202
Real-Space Renormalization Group Theory....Pages 203-249
Series Methods....Pages 251-302
Dimer Assemblies....Pages 303-333
Back Matter....Pages 335-431

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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:
Front Matter....Pages I-XII
Thermodynamics and Statistical Mechanics....Pages 1-14
Phase Transitions and Scaling Theory....Pages 15-87
Landau and Landau-Ginzburg Theory....Pages 89-112
Algebraic Methods in Statistical Mechanics....Pages 113-165
The Eight-Vertex Model....Pages 167-202
Real-Space Renormalization Group Theory....Pages 203-249
Series Methods....Pages 251-302
Dimer Assemblies....Pages 303-333
Back Matter....Pages 335-431
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