Introduction to the Replica Theory of Disordered Statistical Systems (Collection Alea-Saclay: Monographs and Texts in Statistical Physics)

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9780521021258: Introduction to the Replica Theory of Disordered Statistical Systems (Collection Alea-Saclay: Monographs and Texts in Statistical Physics)

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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Book Description:

This book covers the statistical mechanics of classical spin systems with quenched disorder. Starting from the fundamentals, it systematically describes the theory of phase transitions in disordered systems and is the only book to contain a unified theoretical approach for spin glasses, critical phenomena and other types of disordered systems. The book is aimed at graduate students and researchers in the field of statistical mechanics of disordered systems. It will also be useful as a supplementary text for graduate level courses in statistical mechanics.

Review:

"The book's principal strength is that it provides a clear introduction to the mathematical machinery of RSB, accessible to an advanced graduate student interested in working in the statistical mechanics of disordered systems. For this reason alone it should be part of the library of any theorist working in these areas...an important contribution." Physics Today

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