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Spin Glasses: General Features

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0005
Subject:
Sociology, Science, Technology and Environment

This chapter finally deals with the concept of spin glasses. The intention is not to provide anything approaching a thorough history of the subject. The field today is broad, with threads and ... More


Short-Range Spin Glasses: Some Basic Questions

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0008
Subject:
Sociology, Science, Technology and Environment

This chapter discusses short-range spin glasses. It considers realistic spin glass models, in particular the Edwards–Anderson (EA) model. Both the EA and the Sherrington–Kirkpatrick (SK) models are ... More


The Infinite-Range Spin Glass

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0006
Subject:
Sociology, Science, Technology and Environment

This chapter introduces mean field theory, both as a general class of models and in its specific incarnation in spin glasses, the Sherrington–Kirkpatrick model. This is undoubtedly the most ... More


Applications to Other Fields

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0007
Subject:
Sociology, Science, Technology and Environment

This chapter explores how spin glass concepts have found use in and, in some cases, further advanced areas such as computational complexity, combinatorial optimization, neural networks, protein ... More


Are Spin Glasses Complex Systems?

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0009
Subject:
Sociology, Science, Technology and Environment

This chapter considers how spin glass science fits into the larger area of complexity studies. It discusses three landmark papers in the field of complexity, by Warren Weaver, Herb Simon, and Phil ... More


Why Spin Glasses?

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0001
Subject:
Sociology, Science, Technology and Environment

Spin glasses are disordered magnetic materials, and it is hard to find a less promising candidate to serve as a focal point of complexity studies, much less as the object of thousands of ... More


THEORY OF RANDOM SOLID STATES

M. Mézard

in Stealing the Gold: A celebration of the pioneering physics of Sam Edwards

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528531
eISBN:
9780191713415
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528531.003.0017
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter is a non-technical, elementary introduction to the theory of glassy phases and their ubiquity. The aim is to provide a guide and some kind of coherent view to the various topics that ... More


Spin glasses

Marc Mézard and Andrea Montanari

in Information, Physics, and Computation

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.003.0012
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter describes random magnetic systems, ‘spin glasses’, by special random ensembles of factor graphs. It also studies the glass phase, characterized by a freezing of the spins, in the ... More


Spin Glasses and Complexity

Daniel L. Stein and Charles M. Newman

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.001.0001
Subject:
Sociology, Science, Technology and Environment

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. This book ... More


Information, Physics, and Computation

Marc Mézard and Andrea Montanari

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book presents a unified approach to a rich and rapidly evolving research domain at the interface between statistical physics, theoretical computer science/discrete mathematics, and ... More


Statistical Physics of Spin Glasses and Information Processing: An Introduction

Hidetoshi Nishimori

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198509417
eISBN:
9780191709081
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509417.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Spin glasses are magnetic materials with strong disorder. Statistical mechanics has been a powerful tool to theoretically analyse various unique properties of spin glasses. A number of new analytical ... More


REMARKS ON THE EDWARDS–ANDERSON PAPER

P. W. Anderson

in Stealing the Gold: A celebration of the pioneering physics of Sam Edwards

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528531
eISBN:
9780191713415
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528531.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents a brief history of the inspirations and ideas behind the famous seminal spin glass paper of Edwards and Anderson, together with some of the further work it stimulated.


EDWARDS–ANDERSON: OPENING UP THE WORLD OF COMPLEXITY

David Sherrington

in Stealing the Gold: A celebration of the pioneering physics of Sam Edwards

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528531
eISBN:
9780191713415
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528531.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents a brief review of some of the riches exposed by and others germinated by the seminal spin glass work of Edwards and Anderson. It discusses such things as replica theory, spin ... More


FERROIC MATERIALS

Vinod K. Wadhawan

in Smart Structures: Blurring the Distinction Between the Living and the Nonliving

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199229178
eISBN:
9780191711282
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199229178.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses ferroic materials, which are the first of the three types of nonlinear-response materials discussed in this book, the other two being soft materials and nanostructured ... More


Special topics and interdisciplinary models

Ralph Skomski

in Simple Models of Magnetism

Published in print:
2008
Published Online:
January 2010
ISBN:
9780198570752
eISBN:
9780191718816
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570752.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

Atomic disorder has far-reaching consequences for the behavior of magnetic materials. It modifies the electronic structure but does not necessarily destroy ferromagnetism, as exemplified by amorphous ... More


Ising models on random graph

Marc Mézard and Andrea Montanari

in Information, Physics, and Computation

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.003.0017
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter studies two problems of statistical physics: the ferromagnet and the spin glass, on large random graphs with fixed degree profile. It describes the use of the replica symmetric cavity ... More


Random systems

Hidetoshi Nishimori and Gerardo Ortiz

in Elements of Phase Transitions and Critical Phenomena

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577224
eISBN:
9780191722943
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577224.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Real materials always contain randomness or disorder that cannot be expressed by idealized simple model systems. The present chapter studies the effects of randomness on phase transitions and ... More


 Network Analysis of the Significance of Hippocampal Subfields

Gergely Papp and Alessandro Treves

in Hippocampal Place Fields: Relevance to Learning and Memory

Published in print:
2008
Published Online:
May 2008
ISBN:
9780195323245
eISBN:
9780199869268
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195323245.003.0024
Subject:
Psychology, Cognitive Neuroscience

This chapter begins with a discussion of the evolutionary changes in the mammalian nervous system that distinguished it from reptilians and birds. It then discusses differentiation of the hippocampus ... More


Stealing the Gold: A celebration of the pioneering physics of Sam Edwards

David Sherrington

Paul Goldbart and Nigel Goldenfeld (eds)

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528531
eISBN:
9780191713415
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528531.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The collection of trails blazed by Sam Edwards during half a century of fundamental research in theoretical physics is truly astonishing. He led theoretical physics into uncharted territories from ... More


REPRINT THEORY OF SPIN GLASSES

S. F. Edwards and P. W. Anderson

in Stealing the Gold: A celebration of the pioneering physics of Sam Edwards

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528531
eISBN:
9780191713415
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528531.003.0013
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This paper presents a new theory of the class of dilute magnetic alloys, called the spin glasses, which offers a simple explanation of the cusp found experimentally in the susceptibility. The ... More


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