Spin Glasses Statics And Dynamics
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Author | : Anne Boutet de Monvel |
Publisher | : Springer Science & Business Media |
Total Pages | : 281 |
Release | : 2009-12-15 |
Genre | : Mathematics |
ISBN | : 3764398914 |
Download Spin Glasses: Statics and Dynamics Book in PDF, Epub and Kindle
Over the last decade, spin glass theory has turned from a fascinating part of t- oretical physics to a ?ourishing and rapidly growing subject of probability theory as well. These developments have been triggered to a large part by the mathem- ical understanding gained on the fascinating and previously mysterious “Parisi solution” of the Sherrington–Kirkpatrick mean ?eld model of spin glasses, due to the work of Guerra, Talagrand, and others. At the same time, new aspects and applications of the methods developed there have come up. The presentvolumecollects a number of reviewsaswellas shorterarticlesby lecturers at a summer school on spin glasses that was held in July 2007 in Paris. These articles range from pedagogical introductions to state of the art papers, covering the latest developments. In their whole, they give a nice overview on the current state of the ?eld from the mathematical side. The review by Bovier and Kurkova gives a concise introduction to mean ?eld models, starting with the Curie–Weiss model and moving over the Random Energymodels up to the Parisisolutionof the Sherrington–Kirkpatrikmodel. Ben Arous and Kuptsov present a more recent view and disordered systems through the so-called local energy statistics. They emphasize that there are many ways to look at Hamiltonians of disordered systems that make appear the Random Energy model (or independent random variables) as a universal mechanism for describing certain rare events. An important tool in the analysis of spin glasses are correlation identities.
Author | : Anne Boutet de Monvel |
Publisher | : Birkhäuser |
Total Pages | : 0 |
Release | : 2009-09-18 |
Genre | : Mathematics |
ISBN | : 9783764389994 |
Download Spin Glasses: Statics and Dynamics Book in PDF, Epub and Kindle
Over the last decade, spin glass theory has turned from a fascinating part of t- oretical physics to a ?ourishing and rapidly growing subject of probability theory as well. These developments have been triggered to a large part by the mathem- ical understanding gained on the fascinating and previously mysterious “Parisi solution” of the Sherrington–Kirkpatrick mean ?eld model of spin glasses, due to the work of Guerra, Talagrand, and others. At the same time, new aspects and applications of the methods developed there have come up. The presentvolumecollects a number of reviewsaswellas shorterarticlesby lecturers at a summer school on spin glasses that was held in July 2007 in Paris. These articles range from pedagogical introductions to state of the art papers, covering the latest developments. In their whole, they give a nice overview on the current state of the ?eld from the mathematical side. The review by Bovier and Kurkova gives a concise introduction to mean ?eld models, starting with the Curie–Weiss model and moving over the Random Energymodels up to the Parisisolutionof the Sherrington–Kirkpatrikmodel. Ben Arous and Kuptsov present a more recent view and disordered systems through the so-called local energy statistics. They emphasize that there are many ways to look at Hamiltonians of disordered systems that make appear the Random Energy model (or independent random variables) as a universal mechanism for describing certain rare events. An important tool in the analysis of spin glasses are correlation identities.
Author | : Anne Boutet de Monvel |
Publisher | : Birkhäuser |
Total Pages | : 278 |
Release | : 2009-09-18 |
Genre | : Mathematics |
ISBN | : 9783764389994 |
Download Spin Glasses: Statics and Dynamics Book in PDF, Epub and Kindle
Over the last decade, spin glass theory has turned from a fascinating part of t- oretical physics to a ?ourishing and rapidly growing subject of probability theory as well. These developments have been triggered to a large part by the mathem- ical understanding gained on the fascinating and previously mysterious “Parisi solution” of the Sherrington–Kirkpatrick mean ?eld model of spin glasses, due to the work of Guerra, Talagrand, and others. At the same time, new aspects and applications of the methods developed there have come up. The presentvolumecollects a number of reviewsaswellas shorterarticlesby lecturers at a summer school on spin glasses that was held in July 2007 in Paris. These articles range from pedagogical introductions to state of the art papers, covering the latest developments. In their whole, they give a nice overview on the current state of the ?eld from the mathematical side. The review by Bovier and Kurkova gives a concise introduction to mean ?eld models, starting with the Curie–Weiss model and moving over the Random Energymodels up to the Parisisolutionof the Sherrington–Kirkpatrikmodel. Ben Arous and Kuptsov present a more recent view and disordered systems through the so-called local energy statistics. They emphasize that there are many ways to look at Hamiltonians of disordered systems that make appear the Random Energy model (or independent random variables) as a universal mechanism for describing certain rare events. An important tool in the analysis of spin glasses are correlation identities.
Author | : Daniel L. Stein |
Publisher | : Princeton University Press |
Total Pages | : 336 |
Release | : 2013-01-15 |
Genre | : Mathematics |
ISBN | : 0691147337 |
Download Spin Glasses and Complexity Book in PDF, Epub and Kindle
This primer builds the theory of spin glasses, starting with the real physical systems and experiments that inspired the theory.
Author | : Amitabha Chakrabarti |
Publisher | : |
Total Pages | : 232 |
Release | : 1987 |
Genre | : |
ISBN | : |
Download Statics and Dynamics of a Model for Spin-glasses Book in PDF, Epub and Kindle
Author | : V Dotsenko |
Publisher | : World Scientific |
Total Pages | : 166 |
Release | : 1995-01-16 |
Genre | : Science |
ISBN | : 9814501654 |
Download An Introduction To The Theory Of Spin Glasses And Neural Networks Book in PDF, Epub and Kindle
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.
Author | : Marco Baity Jesi |
Publisher | : Springer |
Total Pages | : 239 |
Release | : 2016-06-28 |
Genre | : Science |
ISBN | : 3319412310 |
Download Spin Glasses Book in PDF, Epub and Kindle
This thesis addresses the surprising features of zero-temperature statics and dynamics of several spin glass models, including correlations between soft spins that arise spontaneously during avalanches, and the discovery of localized states that involve the presence of two-level systems. It also presents the only detailed historiographical research on the spin glass theory. Despite the extreme simplicity of their definition, spin glasses display a wide variety of non-trivial behaviors that are not yet fully understood. In this thesis the author sheds light on some of these, focusing on both the search for phase transitions under perturbations of Hamiltonians and the zero-temperature properties and responses to external stimuli. After introducing spin glasses and useful concepts on phase transitions and numerics, the results of two massive Monte Carlo campaigns on three-dimensional systems are presented: The first of these examines the de Almeida–Thouless transition, and proposes a new finite-size scaling ansatz, which accelerates the convergence to the thermodynamic limit. The second reconstructs the phase diagram of the Heisenberg spin glass with random exchange anisotropy.
Author | : Debashish Chowdhury |
Publisher | : Princeton University Press |
Total Pages | : 400 |
Release | : 2014-07-14 |
Genre | : Science |
ISBN | : 1400858860 |
Download Spin Glasses and Other Frustrated Systems Book in PDF, Epub and Kindle
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.
Author | : Pierluigi Contucci |
Publisher | : Cambridge University Press |
Total Pages | : 219 |
Release | : 2013 |
Genre | : Science |
ISBN | : 0521763347 |
Download Perspectives on Spin Glasses Book in PDF, Epub and Kindle
Presenting and developing the theory of spin glasses for mathematical physicists and probabilists working in disordered systems.
Author | : K. H. Fischer |
Publisher | : Cambridge University Press |
Total Pages | : 404 |
Release | : 1993-05-27 |
Genre | : Science |
ISBN | : 9780521447775 |
Download Spin Glasses Book in PDF, Epub and Kindle
A comprehensive account of the theory, experimental work and computer modelling of spin glasses.