Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Introduction to the Replica Theory of Disordered Statistical Systems
  • Cited by 53
      • Viktor Dotsenko, Université Paris VI and Landau Institute for Theoretical Physics, Moscow
      Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      September 2009
      November 2000
      ISBN:
      9780511524592
      9780521773409
      9780521021258
      DOI:
      https://doi.org/10.1017/CBO9780511524592
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.575kg, 234 Pages
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.385kg, 236 Pages
      • Subjects:
      Physics and Astronomy, Condensed Matter Physics, Nanoscience and Mesoscopic Physics, Statistical Physics, Nonlinear Science and Fluid Dynamics
      Series:
      Collection Alea-Saclay: Monographs and Texts in Statistical Physics
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Physics and Astronomy, Condensed Matter Physics, Nanoscience and Mesoscopic Physics, Statistical Physics, Nonlinear Science and Fluid Dynamics
    Series:
    Collection Alea-Saclay: Monographs and Texts in Statistical Physics
    Information

    Book description

    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.

    Reviews

    ‘… 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 … Dotsenko’s book will remain an important contribution.’

    Daniel L. Stein Source: Physics Today

    ‘The breadth of the exposition, and in particular the fact that also non-mean field systems are covered, is the main merit of this text and illustrates the wide range of applicability of this method … the book will be a useful reference for the researcher and a reasonable first introduction to the field for graduate students entering the field.’

    A. Bovier Source: Zentralblatt MATH

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Altmetric attention score

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.