Download or read book Introduction to the Replica Theory of Disordered Statistical Systems written by Viktor Dotsenko and published by Cambridge University Press. This book was released on 2001 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory book on the statistical mechanics of disordered systems, ideal for graduates and researchers.
Download or read book Statistical Mechanics of Disordered Systems written by Anton Bovier and published by Cambridge University Press. This book was released on 2006-06-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Download or read book Statistical Mechanics of Classical and Disordered Systems written by Véronique Gayrard and published by Springer Nature. This book was released on 2019-09-15 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings of the conference Advances in Statistical Mechanics, held in Marseille, France, August 2018, focus on fundamental issues of equilibrium and non-equilibrium dynamics for classical mechanical systems, as well as on open problems in statistical mechanics related to probability, mathematical physics, computer science, and biology. Statistical mechanics, as envisioned more than a century ago by Boltzmann, Maxwell and Gibbs, has recently undergone stunning twists and developments which have turned this old discipline into one of the most active areas of truly interdisciplinary and cutting-edge research. The contributions to this volume, with their rather unique blend of rigorous mathematics and applications, outline the state-of-the-art of this success story in key subject areas of equilibrium and non-equilibrium classical and quantum statistical mechanics of both disordered and non-disordered systems. Aimed at researchers in the broad field of applied modern probability theory, this book, and in particular the review articles, will also be of interest to graduate students looking for a gentle introduction to active topics of current research.
Download or read book Statistical Mechanics of Disordered Systems written by Anton Bovier and published by Cambridge University Press. This book was released on 2012-07-19 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2006, this self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a two-semester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics and, on the mathematics side, a good working knowledge of graduate-level probability theory. The book starts with a concise introduction to statistical mechanics, proceeds to disordered lattice spin systems, and concludes with a presentation of the latest developments in the mathematical understanding of mean-field spin glass models. In particular, progress towards a rigorous understanding of the replica symmetry-breaking solutions of the Sherrington-Kirkpatrick spin glass models, due to Guerra, Aizenman-Sims-Starr and Talagrand, is reviewed in some detail.
Download or read book Statistical Mechanics in a Nutshell Second Edition written by Luca Peliti and published by Princeton University Press. This book was released on 2024-08-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Statistical Mechanics in a Nutshell offers a concise, self-contained advanced undergraduate to graduate level introduction to this rapidly developing field, requiring a background in elementary calculus and elementary mechanics. It starts with the basics, introduces the most important developments in classical statistical mechanics over the last thirty years, and guides readers to the very threshold of today's cutting-edge research. The author has revised the first 5 chapters (harmonizing the notation, improving the proofs, checking all exercises and adding a few additional interesting ones). He has also added a new chapter on stochastic thermodynamics, which finds its place after the 9th chapter. The appendices will also be completely rewritten, emphasizing the role of convexity and the Jensen inequality. Chapter 8 will be improved to include some important topics: namely, thermostats and fast algorithms. Chapter 9 will also be rewritten to modernize it and to transition to the new chapter on stochastic thermodynamics. Chapter 10 will be split in two, to focus on "disordered systems" and "complex systems," to emphasize applications (including neural networks and optimization algorithms), and to introduce some fundamental techniques (like the cavity method and message passing) at an elementary level. The goal of the new edition is to help the reader find her/his way into and through the vast, recent literature concerning statistical mechanics and to build a sense of the many fields in which the discipline has recently been applied"--
Download or read book Mathematical Statistical Physics written by and published by Elsevier. This book was released on 2006-06-27 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book An Introduction to the Theory of Spin Glasses and Neural Networks written by Viktor Dotsenko and published by World Scientific. This book was released on 1994 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Statistical Physics Optimization Inference and Message Passing Algorithms written by Florent Krzakala and published by Oxford University Press. This book was released on 2016 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Statistical Physics of Spin Glasses and Information Processing written by Hidetoshi Nishimori and published by Clarendon Press. This book was released on 2001 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This superb new book is one of the first publications in recent years to 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 probabilty theory . It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments
Download or read book Random Matrix Theory Interacting Particle Systems and Integrable Systems written by Percy Deift and published by Cambridge University Press. This book was released on 2014-12-15 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes review articles and research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles.
Download or read book Order Disorder and Criticality written by Yurij Holovatch and published by World Scientific. This book was released on 2004 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first volume in 2004. Broadly, the volume aims to demonstrate that the phase transition theory, which experienced its ''golden age'' during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.The topics presented in this volume include: critical behavior as explained by the non-perturbative renormalization group, critical dynamics, a spacetime approach to phase transitions, self-organized criticality, and exactly solvable models of phase transitions in strongly correlated systems. As the first volume, this book is based on the review lectures that were given in Lviv (Ukraine) at the OC Ising lecturesOCO OCo a traditional annual workshop on phase transitions and critical phenomena which brings together scientists working in the field with university students and those who are interested in the subject."
Download or read book Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 6 written by Yurij Holovatch and published by World Scientific. This book was released on 2020-06-22 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Phasetransitions written by M. Gitterman and published by World Scientific. This book was released on 2004 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: - A short but comprehensive description of the five pillars of the modern theory of phase transitions - A general survey of numerous modern applications of the theory of phase transitions, rather than treatment of a single topic in great detail, as in most textbooks - Suitable for incorporating in a graduate or advanced undergraduate course on statistical physics - Provides a good minimum basis for under-standing current research on the application of statistical mechanics to problems in different fields, such as science, economics and sociology
Download or read book Advances in Neural Information Processing Systems 15 written by Suzanna Becker and published by MIT Press. This book was released on 2003 with total page 1738 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 2002 Neural Information Processing Systems Conference.
Download or read book Spin Glass Theory and Beyond written by M Mezard and published by World Scientific Publishing Company. This book was released on 1987-11-01 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular attention to new applications in the study of optimization theory and neural networks. About two-thirds of the book are a collection of the most interesting and pedagogical articles on the subject.
Download or read book The physics of disordered systems written by Gautam I Menon and published by Springer. This book was released on 2012-03-15 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disordered systems are ubiquitous in nature and their study remains a profound and challenging subject of current research. Ideas and methods from the physics of Disordered systems have been fruitfully applied to several fields ranging from computer science to neuroscience. This book contains a selection of lectures delivered at the 'SERC School on Disordered Systems', spanning topics from classic results to frontier areas of research in this field. Spin glasses, disordered Ising models, quantum disordered systems, structural glasses, dilute magnets, interfaces in random field systems and disordered vortex systems are among the topics discussed in the text, in chapters authored by active researchers in the field, including Bikas Chakrabarti, Arnab Das, Deepak Kumar, Gautam Menon, G. Ravikumar, Purusattam Ray, Srikanth Sastry and Prabodh Shukla. This book provides a gentle and comprehensive introduction to the physics of disordered systems and is aimed at graduate students and young scientists either working in or intending to enter this exciting field. It should also serve as a general reference for students and practicing researchers alike.
Download or read book Order Disorder And Criticality Advanced Problems Of Phase Transition Theory written by Holovatch Yurij and published by World Scientific. This book was released on 2017-12-28 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Contents: Statistical Properties of One-Dimensional Directed Polymers in a Random Potential (V Dotsenko)Non-Euclidean Geometry in Nature (S Nechaev)Dynamics of Polymers: Classic Results and Recent Developments (M V Tamm and K Polovnikov)Generalized Ensemble Computer Simulations of Macromolecules (W Janke)Photo-Controllable Networks in Macromolecular Solutions and Blends (J M Ilnytskyi)Monte Carlo Methods for Massively Parallel Computers (M Weigel)Complex Networks and Infrastructural Grids (A Scala) Readership: Advanced undergraduates and graduate students, researchers and scientists interested in phase transitions and critical phenomena. Keywords: Phase Transitions;Criticality;Scaling;Complex SystemsReview:0
