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portada Introduction to the Replica Theory of Disordered Statistical Systems (Collection Alea-Saclay: Monographs and Texts in Statistical Physics)
Type
Physical Book
Year
2000
Language
English
Pages
234
Format
Hardcover
ISBN
0521773407
ISBN13
9780521773409
Edition No.
1

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

Viktor Dotsenko (Author) · Cambridge University Press · Hardcover

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

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

This book describes the statistical mechanics of classical spin systems with quenched disorder. The first part of the book covers the physics of spin-glass states using results obtained within the framework of the mean field theory of spin glasses. The technique of replica symmetry breaking is explained in detail, along with a discussion of the underlying physics. 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, which is then used to obtain a new 'random' critical regime in disordered vector ferromagnets and in the two-dimensional Ising model. The third part of the book describes other types of disordered systems, relating 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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