TY - BOOK AU - Dotsenko,Viktor TI - Introduction to the replica theory of disordered statistical systems T2 - Collection Aléa-Saclay : monographs and texts in statistical physics SN - 9780511524592 (ebook) AV - QC173.4.O73 D68 2001 U1 - 530.13 22 PY - 2001/// CY - Cambridge PB - Cambridge University Press KW - Order-disorder models KW - Nuclear spin KW - Statistical mechanics N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Spin-glass systems --; Critical phenomena and quenched disorder --; Other types of disordered system N2 - 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 UR - https://doi.org/10.1017/CBO9780511524592 ER -