Introduction to the Replica Theory of Disordered Statistical Systems
“Introduction to the Replica Theory of Disordered Statistical Systems” by Viktor Dotsenko, published by Cambridge University Press on October 13, 2005, is a comprehensive text that delves into the statistical mechanics of classical spin systems characterized by quenched disorder. This edition spans 236 pages and is presented in English, offering a detailed exploration of spin-glass states through the lens of mean field theory, as well as critical phenomena influenced by weak quenched disorder.
Readers will find a systematic derivation of traditional renormalization group theory, along with discussions on various types of disordered systems, linking them to contemporary research advancements. The book is tailored for graduate students and researchers engaged in the study of statistical mechanics, providing insights into the complexities of disordered systems and their implications in the field of physics.
Official synopsis Publisher
This text describes the statistical mechanics of classical spin systems with quenched disorder. The first part covers the physics of spin-glass states using results obtained within the framework of the mean field theory of spin glasses. The second part is devoted to the theory of critical phenomena in the presence of weak quenched disorder. This includes a systematic derivation of the traditional renormalization group theory. In the third part Dotsenko describes other types of disordered systems, relating them to new results at the frontiers of modern research. The book is suitable for graduate students and researchers in the field of statistical mechanics of disordered systems.
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