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.
目錄:
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.