# Spin Glasses and Complexity

Publication Year: 2013

Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. *Spin Glasses and Complexity* offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity.

This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling.

Providing an essential overview of the history, science, and growing significance of this exciting field, S*pin Glasses and Complexity* also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts.

Published by: Princeton University Press

Series: Primers in Complex Systems

#### Cover

#### Title page, Copyright, Dedication

#### 1. Order, Symmetry, and the Organization of Matter

Quarks, strings, and black holes receive much of the attention that the popular press devotes to physics, and for good reason: they’re exciting, exotic, and almost mystical in their appeal. They’re also comfortably removed from the everyday...

#### 4. Spin Glasses: General Features

As noted in the introduction, few things seem less likely at first glance to spark interest than the materials we now call spin glasses. Nevertheless, their rise was stunning. What one might call “sightings” of spin glasses, although they weren’t realized as...

#### 5. The Infinite-Range Spin Glass

We saw in section 1.5 how, given a Hamiltonian and using the tools of statistical mechanics, one can—in principle—completely describe a system’s thermodynamic behavior at any temperature or external field. In practice, however, this is extremely difficult...

#### 7. Short-Range Spin Glasses: Some Basic Questions

In this chapter we consider realistic spin glass models, in particular the Edwards-Anderson (EA) model introduced in section 4.5. Both the EA and the Sherrington-Kirkpatrick (SK) models are idealizations of the complicated spatial structure of spin-spin...

#### 8. Are Spin Glasses Complex Systems?

We conclude our primer with a brief consideration of how spin glass science fits into the larger area of complexity studies. As putative complex systems, spin glasses are unusual in that they fall neatly into standard, well-defined disciplinary categories: condensed...

#### Glossary

Few readers will be conversant with all of the subjects treated in this book, so we’ve provided a glossary of some of the technical terms. The definitions below are informal and very brief; more detailed expositions can be found in the text. The section in which a term is discussed...

E-ISBN-13: 9781400845637

E-ISBN-10: 1400845637

Print-ISBN-13: 9780691147338

Print-ISBN-10: 0691147337

Page Count: 336

Publication Year: 2013

Edition: Course Book

Series Title: Primers in Complex Systems

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