Spin Glasses And Complexity

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Spin Glasses and Complexity

Daniel L. Stein,Charles M. Newman
Spin Glasses and Complexity Book PDF

Author : Daniel L. Stein,Charles M. Newman
Publisher : Princeton University Press
Page : 336 pages
File Size : 48,8 Mb
Release : 2013-01-15
Category : Science
ISBN : 9781400845637

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Spin Glasses and Complexity by Daniel L. Stein,Charles M. Newman Pdf

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, Spin 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.

Spin Glasses and Complexity

Daniel L. Stein,Charles M. Newman
Spin Glasses and Complexity Book PDF

Author : Daniel L. Stein,Charles M. Newman
Publisher : Princeton University Press
Page : 336 pages
File Size : 45,9 Mb
Release : 2013-01-15
Category : Mathematics
ISBN : 9780691147338

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Spin Glasses and Complexity by Daniel L. Stein,Charles M. Newman Pdf

This primer builds the theory of spin glasses, starting with the real physical systems and experiments that inspired the theory.

Spin Glasses

K. H. Fischer,J. A. Hertz
Spin Glasses Book PDF

Author : K. H. Fischer,J. A. Hertz
Publisher : Cambridge University Press
Page : 404 pages
File Size : 41,7 Mb
Release : 1993-05-27
Category : Science
ISBN : 0521447771

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Spin Glasses by K. H. Fischer,J. A. Hertz Pdf

A comprehensive account of the theory, experimental work and computer modelling of spin glasses.

The Sherrington-Kirkpatrick Model

Dmitry Panchenko
The Sherrington Kirkpatrick Model Book PDF

Author : Dmitry Panchenko
Publisher : Springer Science & Business Media
Page : 164 pages
File Size : 54,6 Mb
Release : 2013-02-26
Category : Mathematics
ISBN : 9781461462897

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The Sherrington-Kirkpatrick Model by Dmitry Panchenko Pdf

The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi solution were clarified and proved mathematically. The core ideas of the theory that emerged are the subject of this book, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for the free energy. The treatment is self-contained and should be accessible to graduate students with a background in probability theory, with no prior knowledge of spin glasses. The methods involved in the analysis of the Sherrington-Kirkpatrick model also serve as a good illustration of such classical topics in probability as the Gaussian interpolation and concentration of measure, Poisson processes, and representation results for exchangeable arrays.

Spin Glass Theory and Beyond

M Mezard,G Parisi,M Virasoro
Spin Glass Theory and Beyond Book PDF

Author : M Mezard,G Parisi,M Virasoro
Publisher : World Scientific Publishing Company
Page : 476 pages
File Size : 40,6 Mb
Release : 1987-11-01
Category : Science
ISBN : 9789813103917

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Spin Glass Theory and Beyond by M Mezard,G Parisi,M Virasoro Pdf

This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular attention to new applications in the study of optimization theory and neural networks. About two-thirds of the book are a collection of the most interesting and pedagogical articles on the subject.

Spin Glasses And Biology

Daniel L Stein
Spin Glasses And Biology Book PDF

Author : Daniel L Stein
Publisher : World Scientific
Page : 277 pages
File Size : 54,8 Mb
Release : 1992-08-11
Category : Science
ISBN : 9789814507776

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Spin Glasses And Biology by Daniel L Stein Pdf

This volume is an introduction to the application of techniques developed for the study of disordered systems to problems which arise in biology. Topics presented include neural networks, adaptation and evolution, maturation of the immune response, and protein dynamics and folding. This book will appeal to students and researchers interested in statistical and condensed matter physics, glasses and spin glasses, and biophysics.

Information, Physics, and Computation

Marc Mézard,Andrea Montanari
Information Physics and Computation Book PDF

Author : Marc Mézard,Andrea Montanari
Publisher : Oxford University Press
Page : 584 pages
File Size : 54,9 Mb
Release : 2009-01-22
Category : Computers
ISBN : 9780198570837

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Information, Physics, and Computation by Marc Mézard,Andrea Montanari Pdf

A very active field of research is emerging at the frontier of statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. This book sets up a common language and pool of concepts, accessible to students and researchers from each of these fields.

Statistical Mechanics

James Sethna
Statistical Mechanics Book PDF

Author : James Sethna
Publisher : OUP Oxford
Page : 374 pages
File Size : 55,8 Mb
Release : 2006-04-07
Category : Science
ISBN : 9780191566219

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Statistical Mechanics by James Sethna Pdf

In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.

Recent Progress in Random Magnets

D H Ryan
Recent Progress in Random Magnets Book PDF

Author : D H Ryan
Publisher : World Scientific
Page : 344 pages
File Size : 42,8 Mb
Release : 1992-06-16
Category : Science
ISBN : 9789814505741

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Recent Progress in Random Magnets by D H Ryan Pdf

Spin glasses exhibit random magnetic ordering as a result of competing interactions such as exchange or anisotropy. While they are easily prepared, and many of their general properties have been described, a detailed understanding of their behaviour is still lacking after more than 30 years of study. This book reviews the progress that has been made over the last five years on several aspects of the spin glass problem. Unlike several recent books, the authors concentrate here on experimental results, limiting the theoretical discussion to efforts most directly related to such work. The field of spin glasses, or more generally random magnets, continues to attract the interest of researchers worldwide, and the contributions in this book clearly show that this will be the case for many years to come. Contents:Exchange Frustration and Tranverse Spin Freezing (D H Ryan)Investigation of the Reentrant Spin Glass Phase by Neutron Scattering (I Mirebeau et al.)Random Anisotropy and Phase Transitions in Magnetic Glasses (D J Sellmyer & M J O'Shea)Magnetic Anisotropy of Spin Glasses (J S Kouvel)Phase Transitions in Magnets with Random Uniaxial Anisotropy (Y Y Goldschmidt)Finite Size Effects in Metallic Spin Glasses (J Bass & J A Cowen)Slow Dynamics in Spin Glasses and Other Complex Systems (E Vincent et al.)Spin Density Waves in Spin Glasses, Rare-Earth Metallic Alloys and Artificial Superlattices (S A Werner & J J Rhyne)Random Field Ising Model Experiments: Statics and Dynamics (D P Belanger)The Random Field Enigma (Y Shapir) Readership:Condensed matter physicists. keywords:

Statistical Physics of Spin Glasses and Information Processing

Hidetoshi Nishimori
Statistical Physics of Spin Glasses and Information Processing Book PDF

Author : Hidetoshi Nishimori
Publisher : Clarendon Press
Page : 264 pages
File Size : 40,9 Mb
Release : 2001
Category : Computers
ISBN : 0198509405

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Statistical Physics of Spin Glasses and Information Processing by Hidetoshi Nishimori Pdf

This superb new book is one of the first publications in recent years to provide a broad overview of this interdisciplinary field. Most of the book is written in a self contained manner, assuming only a general knowledge of statistical mechanics and basic probabilty theory . It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments

Frustrated Materials and Ferroic Glasses

Turab Lookman,Xiaobing Ren
Frustrated Materials and Ferroic Glasses Book PDF

Author : Turab Lookman,Xiaobing Ren
Publisher : Springer
Page : 276 pages
File Size : 49,7 Mb
Release : 2018-11-01
Category : Science
ISBN : 9783319969145

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Frustrated Materials and Ferroic Glasses by Turab Lookman,Xiaobing Ren Pdf

This book provides a comprehensive introduction to ferroics and frustrated materials. Ferroics comprise a range of materials classes with functionalities such as magnetism, polarization, and orbital degrees of freedom and strain. Frustration, due to geometrical constraints, and disorder, due to chemical and/or structural inhomogeneities, can lead to glassy behavior, which has either been directly observed or inferred in a range of materials classes from model systems such as artificial spin ice, shape memory alloys, and ferroelectrics to electronically functional materials such as manganites. Interesting and unusual properties are found to be associated with these glasses and have potential for novel applications. Just as in prototypical spin glass and structural glasses, the elements of frustration and disorder lead to non-ergodocity, history dependence, frequency dependent relaxation behavior, and the presence of inhomogeneous nano clusters or domains. In addition, there are new states of matter, such as spin ice; however, it is still an open question as to whether these systems belong to the same family or universality class. The purpose of this work is to collect in a single volume the range of materials systems with differing functionalities that show many of the common characteristics of geometrical frustration, where interacting degrees of freedom do not fit in a lattice or medium, and glassy behavior is accompanied by additional presence of disorder. The chapters are written by experts in their fields and span experiment and theory, as well as simulations. Frustrated Materials and Ferroic Glasses will be of interest to a wide range of readers in condensed matter physics and materials science.

New Optimization Algorithms in Physics

Alexander K. Hartmann,Heiko Rieger
New Optimization Algorithms in Physics Book PDF

Author : Alexander K. Hartmann,Heiko Rieger
Publisher : John Wiley & Sons
Page : 312 pages
File Size : 52,9 Mb
Release : 2006-03-06
Category : Science
ISBN : 9783527604579

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New Optimization Algorithms in Physics by Alexander K. Hartmann,Heiko Rieger Pdf

Many physicists are not aware of the fact that they can solve their problems by applying optimization algorithms. Since the number of such algorithms is steadily increasing, many new algorithms have not been presented comprehensively until now. This presentation of recently developed algorithms applied in physics, including demonstrations of how they work and related results, aims to encourage their application, and as such the algorithms selected cover concepts and methods from statistical physics to optimization problems emerging in theoretical computer science.

Complexity

M. Mitchell Waldrop
Complexity Book PDF

Author : M. Mitchell Waldrop
Publisher : Open Road Media
Page : 492 pages
File Size : 45,6 Mb
Release : 2019-10-01
Category : Science
ISBN : 9781504059145

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Complexity by M. Mitchell Waldrop Pdf

“If you liked Chaos, you’ll love Complexity. Waldrop creates the most exciting intellectual adventure story of the year” (The Washington Post). In a rarified world of scientific research, a revolution has been brewing. Its activists are not anarchists, but rather Nobel Laureates in physics and economics and pony-tailed graduates, mathematicians, and computer scientists from all over the world. They have formed an iconoclastic think-tank and their radical idea is to create a new science: complexity. They want to know how a primordial soup of simple molecules managed to turn itself into the first living cell—and what the origin of life some four billion years ago can tell us about the process of technological innovation today. This book is their story—the story of how they have tried to forge what they like to call the science of the twenty-first century. “Lucidly shows physicists, biologists, computer scientists and economists swapping metaphors and reveling in the sense that epochal discoveries are just around the corner . . . [Waldrop] has a special talent for relaying the exhilaration of moments of intellectual insight.” —The New York Times Book Review “Where I enjoyed the book was when it dove into the actual question of complexity, talking about complex systems in economics, biology, genetics, computer modeling, and so on. Snippets of rare beauty here and there almost took your breath away.” —Medium “[Waldrop] provides a good grounding of what may indeed be the first flowering of a new science.” —Publishers Weekly

Phase Transitions

Moshe Gitterman
Phase Transitions Book PDF

Author : Moshe Gitterman
Publisher : World Scientific Publishing Company
Page : 212 pages
File Size : 51,8 Mb
Release : 2013-09-25
Category : Science
ISBN : 9789814520621

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Phase Transitions by Moshe Gitterman Pdf

This book provides a comprehensive review of the theory of phase transitions and its modern applications, based on the five pillars of the modern theory of phase transitions: the Ising model, mean field, scaling, renormalization group and universality. This expanded second edition includes, along with a description of vortices and high temperature superconductivity, a discussion of phase transitions in chemical reactions and moving systems. The book covers the close connection between phase transitions and small world phenomena as well as scale-free systems such as the stock market and the Internet.

Topics in Disordered Systems

Charles M. Newman
Topics in Disordered Systems Book PDF

Author : Charles M. Newman
Publisher : Birkhäuser
Page : 93 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034889124

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Topics in Disordered Systems by Charles M. Newman Pdf

Disordered systems are statistical mechanics models in random environments. This lecture notes volume concerns the equilibrium properties of a few carefully chosen examples of disordered Ising models. The approach is that of probability theory and mathematical physics, but the subject matter is of interest also to condensed matter physicists, material scientists, applied mathematicians and theoretical computer scientists. (The two main types of systems considered are disordered ferromagnets and spin glasses. The emphasis is on questions concerning the number of ground states (at zero temperature) or the number of pure Gibbs states (at nonzero temperature). A recurring theme is that these questions are connected to interesting issues concerning percolation and related models of geometric/combinatorial probability. One question treated at length concerns the low temperature behavior of short-range spin glasses: whether and in what sense Parisi's analysis of the meanfield (or "infinite-range") model is relevant. Closely related is the more general conceptual issue of how to approach the thermodynamic (i.e., infinite volume) limit in systems which may have many complex competing states. This issue has been addressed in recent joint work by the author and Dan Stein and the book provides a mathematically coherent presentation of their approach.)