Introduction to the Replica Theory of Disordered Statistical Systems(ISBN=9780521021258) 电子书 pdf 百度云 下载 epub 2025 免费 mobi 在线

　　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.

Preface

1. Introduction

Part I. Spin-Glass Systems: 2. Physics of the spin glass

state

2. The mean-field theory of spin glasses

4. Physics of replica symmetry breaking

5. Ultrametricity

6. Experiments

Part II. Critical Phenomena and Quenched Disorder: 7. Scaling

theory of the critical phenomena

8. Critical behaviour in systems with disorder

9. Spin glass effects in the critical phenomena

10. Two dimensional Ising model with disorder

Part III. Other Types of Disordered Systems: 11. Ising systems with

quenched random fields

12. One dimensional directed polymers in random potentials

13. Vector breaking of replica symmetry

14. Conclusions

References.

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书籍介绍

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.