Topics In Disordered Systems
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Topics In Disordered Systems
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Author : Charles M. Newman
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Topics In Disordered Systems written by Charles M. Newman and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Disordered systems are statistical mechanics models in random environments. This lecture notes volume concerns the equilibrium properties of a few carefully chosen examples of disordered Ising models. The approach is that of probability theory and mathematical physics, but the subject matter is of interest also to condensed matter physicists, material scientists, applied mathematicians and theoretical computer scientists. (The two main types of systems considered are disordered ferromagnets and spin glasses. The emphasis is on questions concerning the number of ground states (at zero temperature) or the number of pure Gibbs states (at nonzero temperature). A recurring theme is that these questions are connected to interesting issues concerning percolation and related models of geometric/combinatorial probability. One question treated at length concerns the low temperature behavior of short-range spin glasses: whether and in what sense Parisi's analysis of the meanfield (or "infinite-range") model is relevant. Closely related is the more general conceptual issue of how to approach the thermodynamic (i.e., infinite volume) limit in systems which may have many complex competing states. This issue has been addressed in recent joint work by the author and Dan Stein and the book provides a mathematically coherent presentation of their approach.)
Topics In Disordered Systems
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Author : Charles M Newman
language : en
Publisher:
Release Date : 1997-09-23
Topics In Disordered Systems written by Charles M Newman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-09-23 with categories.
The Physics Of Disordered Systems
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Author : Gautam I Menon
language : en
Publisher: Springer
Release Date : 2012-03-15
The Physics Of Disordered Systems written by Gautam I Menon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-15 with Science categories.
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.
Topics In Percolative And Disordered Systems
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Author : Alejandro F. Ramírez
language : en
Publisher: Springer
Release Date : 2014-06-16
Topics In Percolative And Disordered Systems written by Alejandro F. Ramírez and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-16 with Mathematics categories.
This volume features selected and peer-reviewed articles from the Pan-American Advanced Studies Institute (PASI). The chapters are written by international specialists who participated in the conference. Topics include developments based on breakthroughs in the mathematical understanding of phenomena describing systems in highly inhomogeneous and disordered media, including the KPZ universality class (describing the evolution of interfaces in two dimensions), random walks in random environment and percolative systems. PASI fosters a collaboration between North American and Latin American researchers and students. The conference that inspired this volume took place in January 2012 in both Santiago de Chile and Buenos Aires. Researchers and graduate students will find timely research in probability theory, statistical physics and related disciplines.
Advances In Disordered Systems Random Processes And Some Applications
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Author : Pierluigi Contucci
language : en
Publisher:
Release Date : 2017
Advances In Disordered Systems Random Processes And Some Applications written by Pierluigi Contucci and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with SCIENCE categories.
Statistical Mechanics Of Classical And Disordered Systems
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Author : Véronique Gayrard
language : en
Publisher: Springer Nature
Release Date : 2019-09-15
Statistical Mechanics Of Classical And Disordered Systems written by Véronique Gayrard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-15 with Mathematics categories.
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.
Random Walks Random Fields And Disordered Systems
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Author : Anton Bovier
language : en
Publisher: Springer
Release Date : 2015-09-21
Random Walks Random Fields And Disordered Systems written by Anton Bovier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-21 with Science categories.
Focusing on the mathematics that lies at the intersection of probability theory, statistical physics, combinatorics and computer science, this volume collects together lecture notes on recent developments in the area. The common ground of these subjects is perhaps best described by the three terms in the title: Random Walks, Random Fields and Disordered Systems. The specific topics covered include a study of Branching Brownian Motion from the perspective of disordered (spin-glass) systems, a detailed analysis of weakly self-avoiding random walks in four spatial dimensions via methods of field theory and the renormalization group, a study of phase transitions in disordered discrete structures using a rigorous version of the cavity method, a survey of recent work on interacting polymers in the ballisticity regime and, finally, a treatise on two-dimensional loop-soup models and their connection to conformally invariant systems and the Gaussian Free Field. The notes are aimed at early graduate students with a modest background in probability and mathematical physics, although they could also be enjoyed by seasoned researchers interested in learning about recent advances in the above fields.
Collective Dynamics Of Nonlinear And Disordered Systems
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Author : Günter Radons
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-02
Collective Dynamics Of Nonlinear And Disordered Systems written by Günter Radons 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 2005-11-02 with Science categories.
Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.
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.
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Scaling Phenomena In Disordered Systems
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Author : Roger Pynn
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Scaling Phenomena In Disordered Systems written by Roger Pynn 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 2013-11-21 with Technology & Engineering categories.
This volume comprises the proceedings of a NATO Advanced Study Institute held in Geilo, Norway, between 8-19 April 1985. Although the principal support for the meeting was provided by the NATO Committee for Scientific Affairs, a number of additional sponsors also contributed, allowing the assembly of an unusually large number of internationally rec ognized speakers. Additional funds were received from: EXXON Research and Engineering Co. IBM (Europe) Institutt for energiteknikk (NorwaY) Institut Lauge-Langevin (France) The Norwegian Research Council for Science and Humanities NORDITA (Denmark) The Norwegian Foreign Office The U. S. Army Research, Development and Standardization Group (Europe) The U. S. National Science Foundation - The Norwegian Council for Science and Letters The organizing committee would like to take this opportunity to thank these contributors for their help in promoting a most exciting rewarding meeting. This Study Institute was the eighth of a series of meetings held in Geilo on subjects related to phase transitions. In contrast to previous meetings which were principally concerned with transitions in ordered systems, this school addressed the problems which arise when structural order is absent. The unifying feature among the subjects discussed at the school and the link to themes of earlier meetings was the concept of scaling.