Mean Field Models For Spin Glasses
DOWNLOAD
Download Mean Field Models For Spin Glasses PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Mean Field Models For Spin Glasses book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Mean Field Models For Spin Glasses
DOWNLOAD
Author : Michel Talagrand
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-14
Mean Field Models For Spin Glasses written by Michel Talagrand and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-14 with Mathematics categories.
This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for Mathematicians" in two volumes (this is the 2nd volume). In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by non-rigorous methods and predicted spectacular behaviors. This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics. The present Volume II contains a considerable amount of new material, in particular all the fundamental low-temperature results obtained after the publication of the first edition.
Mean Field Models For Spin Glasses
DOWNLOAD
Author : Michel Talagrand
language : en
Publisher:
Release Date : 2011
Mean Field Models For Spin Glasses written by Michel Talagrand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Spin glasses categories.
Spin Glasses A Challenge For Mathematicians
DOWNLOAD
Author : Michel Talagrand
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-11
Spin Glasses A Challenge For Mathematicians written by Michel Talagrand and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-11 with Computers categories.
In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, that physicists studied by non-rigorous methods. They predicted spectacular behaviors, previously unknown in probability theory. They believe these behaviors occur in many models of considerable interest for several branches of science (statistical physics, neural networks and computer science). This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics, and contains proofs in complete detail of much of what is rigorously known on spin glasses at the time of writing.
Mean Field Models For Spin Glasses Basic Examples
DOWNLOAD
Author : Michel Talagrand
language : en
Publisher:
Release Date : 2011
Mean Field Models For Spin Glasses Basic Examples written by Michel Talagrand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Spin glasses categories.
Mean Field Models For Spin Glasses Advanced Replica Symmetry And Low Temperature
DOWNLOAD
Author : Michel Talagrand
language : en
Publisher:
Release Date : 2011
Mean Field Models For Spin Glasses Advanced Replica Symmetry And Low Temperature written by Michel Talagrand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Spin glasses categories.
Mean Field Models For Spin Glasses
DOWNLOAD
Author : Michel Talagrand
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-10
Mean Field Models For Spin Glasses written by Michel Talagrand and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-10 with Mathematics categories.
This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for Mathematicians". This new edition will appear in two volumes, the present first volume presents the basic results and methods, the second volume is expected to appear in 2011. In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by non-rigorous methods and predicted spectacular behaviors. This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics. The first volume of this new and completely rewritten edition presents six fundamental models and the basic techniques to study them.
Mean Field Models For Spin Glasses
DOWNLOAD
Author : Michel Talagrand
language : en
Publisher:
Release Date : 2011
Mean Field Models For Spin Glasses written by Michel Talagrand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Spin glasses categories.
Spin Glasses And Random Fields
DOWNLOAD
Author : A. Peter Young
language : en
Publisher: World Scientific
Release Date : 1998
Spin Glasses And Random Fields written by A. Peter Young and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.
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 Renormalization Group For Disordered Systems
DOWNLOAD
Author : Michele Castellana
language : en
Publisher: Sapienza Università Editrice
Release Date : 2014-12-01
The Renormalization Group For Disordered Systems written by Michele Castellana and has been published by Sapienza Università Editrice this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-01 with Art categories.
Capire la natura del vetro è una delle questioni aperte più profonde nella fisica teorica della materia condensata. Oltre a essere un problema matematicamente molto complesso, comprendere la natura della fase vetrosa richiede intuizioni fisiche completamente nuove, che vanno al di là dei concetti usati nella fisica dei sistemi omogenei. Negli ultimi decenni si sono fatti progressi notevoli nello studio di modelli di campo medio per vetri di spin e vetri strutturali e la soluzione di questi modelli ha svelato una struttura della fase di bassa temperatura estremamente complessa. Tuttavia, non è ancora chiaro se le caratteristiche fisiche che emergono da queste soluzioni di campo medio descrivano anche i sistemi che esistono in natura, i quali sono rappresentati da modelli che vanno al di là del campo medio, detti anche modelli ‘non-mean-field’. Sfortunatamente, la soluzione di questi modelli non-mean-field si è dimostrata estremamente difficile, sia dal punto di vista analitico sia da quello numerico. Questo libro tratta di modelli non-mean-field di vetri di spin e vetri strutturali costruiti su reticolo gerarchico: si tratta dei modelli non-mean-field più semplici per i quali è possibile implementare in modo naturale una trasformazione di gruppo di rinormalizzazione. Questi metodi di gruppo di rinormalizzazione sono estremamente efficaci nell’aiutarci a comprendere la fisica di questi modelli di vetri. Attraverso essi, infatti, si mostra per la prima volta l’esistenza di una transizione di fase in un modello gerarchico non-mean-field di un vetro strutturale. Inoltre viene presentato un nuovo metodo di gruppo di rinormalizzazione per i vetri di spin, che si applica ad un modello di vetro di spin non-mean-field costruito su reticolo gerarchico: il metodo mostra l’esistenza di una transizione di fase, facendo inoltre predizioni quantitative per quantità fisiche come la temperatura e gli esponenti critici. The nature of glass is one of the deepest unsolved problems in condensed-matter theory. Besides being a mathematical challenge, a complete understanding of the nature of the glassy phase calls for completely new physical insights that go beyond the physics of homogeneous systems. A remarkable progress has been made in the last decades to understand mean-field models of spin and structural glasses, and the solution of these models unraveled a strikingly complex structure of the low-temperature phase. One of the biggest unsolved questions is whether the features of these mean-field solutions apply also to systems existing in Nature, which are represented by non-mean-field models. Unfortunately, the solution of non-mean-field glass models has proved extremely hard, both from the analytical and numerical point of view. The book focuses study on the non-mean-field models of spin and structural glasses built on a hierarchical lattice. These are the simplest non-mean-field glass models for which a renormalization-group (RG) transformation can be naturally implemented. Such RG methods have proved extremely powerful in tackling the complexity of these systems. By using the RG method, we show for the first time the existence of a phase transition for a non-mean-field hierarchical model of a structural glass. In addition, we propose a novel RG method for spin glasses, and we apply it to a non-mean-field hierarchical model of a spin glass. The method shows the existence of a phase transition and makes quantitative predictions for physical quantities, such as the critical temperature and the critical exponents.
The Sherrington Kirkpatrick Model
DOWNLOAD
Author : Dmitry Panchenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-26
The Sherrington Kirkpatrick Model written by Dmitry Panchenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-26 with Mathematics categories.
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.