Introduction To The Replica Theory Of Disordered Statistical Systems
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Introduction To The Replica Theory Of Disordered Statistical Systems
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Author : Viktor Dotsenko
language : en
Publisher: Cambridge University Press
Release Date : 2005-10-13
Introduction To The Replica Theory Of Disordered Statistical Systems written by Viktor Dotsenko and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-13 with Science categories.
This text describes the statistical mechanics of classical spin systems with quenched disorder. The first part covers the physics of spin-glass states using results obtained within the framework of the mean field theory of spin glasses. The second part is devoted to the theory of critical phenomena in the presence of weak quenched disorder. This includes a systematic derivation of the traditional renormalization group theory. In the third part Dotsenko describes other types of disordered systems, relating them to new results at the frontiers of modern research. The book is suitable for graduate students and researchers in the field of statistical mechanics of disordered systems.
Statistical Mechanics Of Disordered Systems
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Author : Anton Bovier
language : en
Publisher: Cambridge University Press
Release Date : 2006-06-08
Statistical Mechanics Of Disordered Systems written by Anton Bovier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-08 with Mathematics categories.
Publisher Description
Mathematical Statistical Physics
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Author :
language : en
Publisher: Elsevier
Release Date : 2006-06-27
Mathematical Statistical Physics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-27 with Science categories.
The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians. - Introduction to a field of math with many interdisciplinary connections in physics, biology, and computer science - Roadmap to the next decade of mathematical statistical mechanics - Volume for reference years to come
Statistical Mechanics In A Nutshell Second Edition
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Author : Luca Peliti
language : en
Publisher: Princeton University Press
Release Date : 2024-08-06
Statistical Mechanics In A Nutshell Second Edition written by Luca Peliti and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-06 with Science categories.
The essential introduction to modern statistical mechanics—now completely updated and expanded Statistical mechanics is one of the most exciting areas of physics today and has applications to subjects ranging from economics and social behavior to algorithmic theory and evolutionary biology. Statistical Mechanics in a Nutshell provides a self-contained introduction to this rapidly developing field. Starting with the basics of kinetic theory and requiring only a background in elementary calculus and mechanics, this concise book discusses the most important developments of recent decades and guides readers to the very threshold of today’s cutting-edge research. Features a new chapter on stochastic thermodynamics with an introduction to the thermodynamics of information—the first treatment of its kind in an introductory textbook Offers a more detailed account of numerical simulations, including simulated annealing and other accelerated Monte Carlo methods The chapter on complex systems now features an accessible introduction to the replica theory of spin glasses and the Hopfield theory of neural networks, with an emphasis on applications Provides a new discussion of defect-mediated transitions and their implications for two-dimensional melting An invaluable resource for graduate students and advanced undergraduates seeking a compact primer on the core ideas of statistical mechanics Solutions manual (available only to instructors)
Introduction To The Replica Theory Of Disordered Statistical Systems
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Author : Viktor Dotsenko
language : en
Publisher: Cambridge University Press
Release Date : 2001
Introduction To The Replica Theory Of Disordered Statistical Systems written by Viktor Dotsenko and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
An introductory book on the statistical mechanics of disordered systems, ideal for graduates and researchers.
Statistical Physics Of Spin Glasses And Information Processing
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Author : Hidetoshi Nishimori
language : en
Publisher: Clarendon Press
Release Date : 2001
Statistical Physics Of Spin Glasses And Information Processing written by Hidetoshi Nishimori and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.
Spin glasses are magnetic materials. Statistical mechanics, a subfield of physics, has been a powerful tool to theoretically analyse various unique properties of spin glasses. A number of new analytical techniques have been developed to establish a theory of spin glasses. Surprisingly, these techniques have turned out to offer new tools and viewpoints for the understanding of information processing problems, including neural networks, error-correcting codes, image restoration, and optimization problems. This book is one of the first publications of the past ten years that 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 probability theory. It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments
Statistical Physics Optimization Inference And Message Passing Algorithms
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Author : Florent Krzakala
language : en
Publisher: Oxford University Press
Release Date : 2016
Statistical Physics Optimization Inference And Message Passing Algorithms written by Florent Krzakala and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Computers categories.
In the last decade, there have been an increasing convergence of interest and methods between theoretical physics and fields as diverse as probability, machine learning, optimization and compressed sensing. In particular, many theoretical and applied works in statistical physics and computer science have relied on the use of message passing algorithms and their connection to statistical physics of spin glasses. The aim of this book, especially adapted to PhD students, post-docs, and young researchers, is to present the background necessary for entering this fast developing field.
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 6
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Author : Yurij Holovatch
language : en
Publisher: World Scientific
Release Date : 2020-06-22
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 6 written by Yurij Holovatch and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-22 with Science categories.
This book is the sixth volume of reviews on advanced problems of phase transitions and critical phenomena, with the first five volumes appearing in 2004, 2007, 2012, 2015, and 2018. It aims to provide an overview of those aspects of criticality and related topics that have attracted much attention due to the recent contributions. The six chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As for the previous volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the topic.The level of presentation makes the book readable both for professionals and the students in the field. On a larger scale, the book may contribute to promoting and deepening studies of phase transitions and critical phenomena.
Random Matrix Theory Interacting Particle Systems And Integrable Systems
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Author : Percy Deift
language : en
Publisher: Cambridge University Press
Release Date : 2014-12-15
Random Matrix Theory Interacting Particle Systems And Integrable Systems written by Percy Deift and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-15 with Language Arts & Disciplines categories.
This volume includes review articles and research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles.
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 5
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Author : Yurij Holovatch
language : en
Publisher: World Scientific
Release Date : 2017-12-28
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 5 written by Yurij Holovatch and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-28 with Science categories.
This book is the fifth volume of papers on advanced problems of phase transitions and critical phenomena, the first four volumes appeared in 2004, 2007, 2012, and 2015. It aims to compile reviews in those aspects of criticality and related subjects that are of current interest. The seven chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As the first four volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the subject.