Spin Glasses and Related Problems
Spin Glasses and Related Problems

Author: V. S. Dotsenko

Publisher: CRC Press

Published: 1990

Total Pages: 266

ISBN-13: 9783718650392

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Three scientists from the L.D. Landau Institute of Theoretical Physics, Moscow, review recent developments in the theory of spin glasses and related strongly disordered systems. They discuss in particular the problems of irreversibility and nonergodicity in the framework of the mean field theory, a phase transition in three- dimensional spin glasses, and glass-like systems with hidden correlations. Addressed to researchers in theoretical physics. Book club price $59. Annotation copyrighted by Book News, Inc., Portland, OR

Relaxation in Complex Systems and Related Topics
Relaxation in Complex Systems and Related Topics

Author: I.A. Campbell

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 331

ISBN-13: 1489921362

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The aim of the workshop was to bring together specialists in various fields where non-exponential relaxation is observed in order to compare models and experimental results and to examine the general physical principles governing this type of behaviour. Non-exponential relaxation is found in extremely diverse physical systems all of which can be classified as complex. The form of the relaxation is generally parametrized using logarithmic, algebraic or stretched exponential decay forms. The conceptually simplest mechanism for the non-exponential decay is a spectrum of relaxation rates due to non-interacting units each of which relaxes with a different intrinsic time constant. Clear experimental examples can be given where for instance the relaxation of a collection of isolated polymer molecules leads to an overall stretched exponential decay. Non-exponential relaxation is observed in all strongly interacting complex systems (structural glasses, spin glasses, etc ... ) where each elementary unit is in interaction with many other units.

Spin Glasses and Other Frustrated Systems
Spin Glasses and Other Frustrated Systems

Author: Debashish Chowdhury

Publisher: Princeton University Press

Published: 2014-07-14

Total Pages: 400

ISBN-13: 1400858860

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Debashish Chowdhury's critical review of more than a thousand papers not only identifies the complexities involved in the theoretical understanding of the real spin glasses but also explains the physical concepts and the mathematical formalisms that have been used successfully in solving the infiniterange model. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Muon Science
Muon Science

Author: S.L Lee

Publisher: Routledge

Published: 2017-11-01

Total Pages: 502

ISBN-13: 1351429469

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Muon science is rapidly assuming a central role in scientific and technological studies of the solid state within the disciplines of physics, chemistry, and materials science. Muon Science: Muons in Physics, Chemistry and Materials presents key developments in both theoretical and experimental aspects of muon spin relaxation, rotation, and resonance. Assuming no prior expertise in muon science, the book guides readers from introductory material to the latest developments in the field. The internationally renowned expert contributors cover topics in muon instrumentation and muon science applications that include muon production, beamlines and instrumentation, muonium chemistry, muon catalyzed fusion, fundamental muon physics, ultra-cold muons, magnetism, superconductivity, diffusion, semiconductors, simulations, and data analysis. The book maintains consistent notation and nomenclature throughout as well as cross-referencing and continuity between the contributions. It provides an excellent introduction to both new and experienced muon beam scientists and graduate students wishing to develop their knowledge and understanding of the subject.

Spin Glasses And Random Fields
Spin Glasses And Random Fields

Author: Peter A Young

Publisher: World Scientific

Published: 1997-12-23

Total Pages: 454

ISBN-13: 9814497266

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The last few years have seen many developments in the study of “frustrated” systems, such as spin glasses and random fields. In addition, the application of the idea of spin glasses to other branches of physics, such as vortex lines in high temperature superconductors, protein folding, structural glasses, and the vulcanization of rubber, has been flourishing. The earlier reviews are several years old, so now is an appropriate time to summarize the recent developments. The articles in this book have been written by leading researchers and include theoretical and experimental studies, and large-scale numerical work (using state-of-the-art algorithms designed specifically for spin-glass-type problems), as well as analytical studies.

The Scaling of Relaxation Processes
The Scaling of Relaxation Processes

Author: Friedrich Kremer

Publisher: Springer

Published: 2018-07-20

Total Pages: 410

ISBN-13: 3319727060

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The dielectric properties especially of glassy materials are nowadays explored at widely varying temperatures and pressures without any gap in the spectral range from μHz up to the Infrared, thus covering typically 20 decades or more. This extraordinary span enables to trace the scaling and the mutual interactions of relaxation processes in detail, e.g. the dynamic glass transition and secondary relaxations, but as well far infrared vibrations, like the Boson peak. Additionally the evolution of intra-molecular interactions in the course of the dynamic glass transition is also well explored by (Fourier Transform) Infrared Spectroscopy. This volume within 'Advances in Dielectrics' summarizes this knowledge and discusses it with respect to the existing and often competing theoretical concepts.

An Introduction to the Theory of Spin Glasses and Neural Networks
An Introduction to the Theory of Spin Glasses and Neural Networks

Author: Viktor Dotsenko

Publisher: World Scientific

Published: 1994

Total Pages: 172

ISBN-13: 9789810218737

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This book aims to describe in simple terms the new area of statistical mechanics known as spin-glasses, encompassing systems in which quenched disorder is the dominant factor. The book begins with a non-mathematical explanation of the problem, and the modern understanding of the physics of the spin-glass state is formulated in general terms. Next, the 'magic' of the replica symmetry breaking scheme is demonstrated and the physics behind it discussed. Recent experiments on real spin-glass materials are briefly described to demonstrate how this somewhat abstract physics can be studied in the laboratory. The final chapters of the book are devoted to statistical models of neural networks.The material here is self-contained and should be accessible to students with a basic knowledge of theoretical physics and statistical mechanics. It has been used for a one-term graduate lecture course at the Landau Institute for Theoretical Physics.

Scaling And Disordered Systems: International Workshop And Collection Of Articles Honoring Professor Antonio Coniglio On The Occasion Of His 60th Birthday
Scaling And Disordered Systems: International Workshop And Collection Of Articles Honoring Professor Antonio Coniglio On The Occasion Of His 60th Birthday

Author: Mohamed Daoud

Publisher: World Scientific

Published: 2002-05-30

Total Pages: 361

ISBN-13: 9814489492

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Investigation of the fractal and scaling properties of disordered systems has recently become a focus of great interest in research. Disordered or amorphous materials, like glasses, polymers, gels, colloids, ceramic superconductors and random alloys or magnets, do not have a homogeneous microscopic structure. The microscopic environment varies randomly from site to site in the system and this randomness adds to the complexity and the richness of the properties of these materials. A particularly challenging aspect of random systems is their dynamical behavior. Relaxation in disordered systems generally follows an unusual time-dependent trajectory. Applications of scaling and fractal concepts in disordered systems have become a broad area of interdisciplinary research, involving studies of the physics, chemistry, mathematics, biology and engineering aspects of random systems.This book is intended for specialists as well as graduate and postdoctoral students working in condensed-matter or statistical physics. It provides state-of-the-art information on the latest developments in this important and timely topic. The book is divided into three parts: Part I deals with critical phenomena, Part II is devoted to discussion of slow dynamics and Part III involves the application of scaling concepts to random systems. The effects of disorder at the mesoscopic scale as well as the latest results on the dynamical properties of disordered systems are presented. In particular, recent developments in static and dynamic scaling theories and applications of fractal concepts to disordered systems are discussed.