Mean Field Models for Spin Glasses: Basic examples
Author | : Michel Talagrand |
Publisher | : |
Total Pages | : |
Release | : 2011 |
Genre | : Spin glasses |
ISBN | : |
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Author | : Michel Talagrand |
Publisher | : |
Total Pages | : |
Release | : 2011 |
Genre | : Spin glasses |
ISBN | : |
Author | : Michel Talagrand |
Publisher | : Springer Science & Business Media |
Total Pages | : 494 |
Release | : 2010-11-10 |
Genre | : Mathematics |
ISBN | : 3642152023 |
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.
Author | : Michel Talagrand |
Publisher | : |
Total Pages | : 504 |
Release | : 2011 |
Genre | : Spin glasses |
ISBN | : 9783642152030 |
Author | : Giorgio Parisi |
Publisher | : Cambridge University Press |
Total Pages | : 341 |
Release | : 2020-01-09 |
Genre | : Science |
ISBN | : 1107191076 |
This self-contained text describes the modern mean field theory of simple structural glasses using a quantum statistical mechanical approach. Describing the theory in clear and simple terms, this is a valuable resource for graduate students and researchers working in condensed matter physics and statistical mechanics.
Author | : A. Peter Young |
Publisher | : World Scientific |
Total Pages | : 454 |
Release | : 1998 |
Genre | : Science |
ISBN | : 9810232403 |
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.
Author | : Maria Eulália Vares |
Publisher | : Springer Nature |
Total Pages | : 819 |
Release | : 2021-03-25 |
Genre | : Mathematics |
ISBN | : 3030607542 |
This is a volume in memory of Vladas Sidoravicius who passed away in 2019. Vladas has edited two volumes appeared in this series ("In and Out of Equilibrium") and is now honored by friends and colleagues with research papers reflecting Vladas' interests and contributions to probability theory.
Author | : Dmitry Panchenko |
Publisher | : Springer Science & Business Media |
Total Pages | : 164 |
Release | : 2013-02-26 |
Genre | : Mathematics |
ISBN | : 1461462894 |
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.
Author | : Michel Talagrand |
Publisher | : Springer Science & Business Media |
Total Pages | : 608 |
Release | : 2003-07-11 |
Genre | : Computers |
ISBN | : 9783540003564 |
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.
Author | : Pierluigi Contucci |
Publisher | : Cambridge University Press |
Total Pages | : 219 |
Release | : 2013 |
Genre | : Science |
ISBN | : 0521763347 |
Presenting and developing the theory of spin glasses for mathematical physicists and probabilists working in disordered systems.
Author | : Sacha Friedli |
Publisher | : Cambridge University Press |
Total Pages | : 643 |
Release | : 2017-11-23 |
Genre | : Mathematics |
ISBN | : 1107184827 |
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.