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

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.

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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 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 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
Introduction to Thermodynamics and Phase Transitions....Pages 1-30
Statistical Mechanics and the One-Dimensional Ising Model....Pages 31-65
The Mean-Field Approximation, Scaling and Critical Exponents....Pages 67-91
Antiferromagnets and Other Magnetic Systems....Pages 93-118
Lattice Gases....Pages 119-133
Solid Mixtures and the Dilute Ising Model....Pages 135-172
Cluster Variation Methods....Pages 173-203
Exact Results for Two-Dimensional Ising Models....Pages 205-240
Applications of Transform Methods....Pages 241-292
The Six-Vertex Model....Pages 293-334
Back Matter....Pages 335-369

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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 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
Introduction to Thermodynamics and Phase Transitions....Pages 1-30
Statistical Mechanics and the One-Dimensional Ising Model....Pages 31-65
The Mean-Field Approximation, Scaling and Critical Exponents....Pages 67-91
Antiferromagnets and Other Magnetic Systems....Pages 93-118
Lattice Gases....Pages 119-133
Solid Mixtures and the Dilute Ising Model....Pages 135-172
Cluster Variation Methods....Pages 173-203
Exact Results for Two-Dimensional Ising Models....Pages 205-240
Applications of Transform Methods....Pages 241-292
The Six-Vertex Model....Pages 293-334
Back Matter....Pages 335-369
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