Random Fields and Spin Glasses: A Field Theory Approach

Random Fields and Spin Glasses: A Field Theory Approach

by Cirano De Dominicis, Irene Giardina
     
 

ISBN-10: 0521847834

ISBN-13: 9780521847834

Pub. Date: 11/30/2006

Publisher: Cambridge University Press

Disordered magnetic systems enjoy non-trivial properties which are different and richer than those observed in their pure, non-disordered counterparts. These properties dramatically affect the thermodynamic behaviour and require specific theoretical treatment. This book deals with the theory of magnetic systems in the presence of frozen disorder, in particular…  See more details below

Overview

Disordered magnetic systems enjoy non-trivial properties which are different and richer than those observed in their pure, non-disordered counterparts. These properties dramatically affect the thermodynamic behaviour and require specific theoretical treatment. This book deals with the theory of magnetic systems in the presence of frozen disorder, in particular paradigmatic and well-known spin models such as the Random Field Ising Model and the Ising Spin Glass. This is a unified presentation using a field theory language which covers mean field theory, dynamics and perturbation expansion within the same theoretical framework. Particular emphasis is given to the connections between different approaches such as statics vs. dynamics, microscopic vs. phenomenological models. The book introduces some useful and little-known techniques in statistical mechanics and field theory. This book will be of great interest to graduate students and researchers in statistical physics and basic field theory.

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Product Details

ISBN-13:
9780521847834
Publisher:
Cambridge University Press
Publication date:
11/30/2006
Edition description:
First Edition
Pages:
230
Product dimensions:
6.85(w) x 9.72(h) x 0.63(d)

Table of Contents

1. A brief introduction; 2. The Random Field Ising model; 3. The dynamical approach; 4. The p=2 spherical model; 5. Mean field spin glasses: one-step RSB; 6. The Sherrington–Kirkpatrick model; 7. Mean field via TAP equations; 8. Spin glass above D=6; 9. Propagators, mostly replicon; 10. Ward–Takahashi identities and Goldstone modes; 11. Alternative approaches and conclusions; Appendices; Index.

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