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.
Introduction to Thermodynamics and Phase Transitions.- Statistical Mechanics and the One-Dimensional Ising Model.- The Mean-Field Approximation, Scaling and Critical Exponents.- Antiferromagnets and Other Magnetic Systems.- Lattice Gases.- Solid Mixtures and the Dilute Ising Model.- Cluster Variation Methods.- Exact Results for Two-Dimensional Ising Models- Applications of Transform Methods.- The Six Vertex Model.- Appendices.
Series: TEXTS AND MONOGRAPHS IN PHYSICS : Book 1
Number Of Pages: 372
Published: 8th March 1999
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.24
Weight (kg): 0.68
Edition Number: 2
Edition Type: Revised