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Author : Anton Bovier
Publisher : Cambridge University Press
ISBN 13 : 0521849918
Total Pages : 297 pages
Book Rating : 4.13/5 ( download)
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
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Publisher :
ISBN 13 : 9780511168680
Total Pages : 312 pages
Book Rating : 4.83/5 ( download)
Download or read book Statistical Mechanics of Disordered Systems written by and published by . This book was released on 2006 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained graduate-level introduction to the statistical mechanics of disordered systems. In three parts, the book treats basic statistical mechanics; disordered lattice spin systems; and latest developments in the mathematical understanding of mean-field spin glass models. It assumes basic knowledge of classical physics and working knowledge of graduate-level probability theory.
Author : Manuel Osvaldo Cáceres
Publisher : Springer
ISBN 13 : 3319515535
Total Pages : 556 pages
Book Rating : 4.33/5 ( download)
Download or read book Non-equilibrium Statistical Physics with Application to Disordered Systems written by Manuel Osvaldo Cáceres and published by Springer. This book was released on 2017-03-07 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder. The target audience includes students of physics, mathematics, biology, chemistry, and engineering at undergraduate and graduate level with a grasp of the basic elements of mathematics and physics of the fourth year of a typical undergraduate course. The little-known physical and mathematical concepts are described in sections and specific exercises throughout the text, as well as in appendices. Physical-mathematical motivation is the main driving force for the development of this text. It presents the academic topics of probability theory and stochastic processes as well as new educational aspects in the presentation of non-equilibrium statistical theory and stochastic differential equations.. In particular it discusses the problem of irreversibility in that context and the dynamics of Fokker-Planck. An introduction on fluctuations around metastable and unstable points are given. It also describes relaxation theory of non-stationary Markov periodic in time systems. The theory of finite and infinite transport in disordered networks, with a discussion of the issue of anomalous diffusion is introduced. Further, it provides the basis for establishing the relationship between quantum aspects of the theory of linear response and the calculation of diffusion coefficients in amorphous systems.
Author : Véronique Gayrard
Publisher : Springer Nature
ISBN 13 : 3030290778
Total Pages : 279 pages
Book Rating : 4.71/5 ( download)
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.
Author : Anton Bovier
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.60/5 ( download)
Download or read book Statistical Mechanics of Disordered Systems written by Anton Bovier and published by . This book was released on 2001 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sacha Friedli
Publisher : Cambridge University Press
ISBN 13 : 1107184827
Total Pages : 643 pages
Book Rating : 4.24/5 ( download)
Download or read book Statistical Mechanics of Lattice Systems written by Sacha Friedli and published by Cambridge University Press. This book was released on 2017-11-23 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author : Charles M. Newman
Publisher : Birkhäuser
ISBN 13 : 3034889127
Total Pages : 93 pages
Book Rating : 4.24/5 ( download)
Download or read book Topics in Disordered Systems written by Charles M. Newman and published by Birkhäuser. This book was released on 2012-12-06 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.)
Author : J. M. Ziman
Publisher : Cambridge University Press
ISBN 13 : 9780521292801
Total Pages : 548 pages
Book Rating : 4.08/5 ( download)
Download or read book Models of Disorder written by J. M. Ziman and published by Cambridge University Press. This book was released on 1979-09-06 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1979, this book discusses how the physical and chemical properties of disordered systems such as liquids, glasses, alloys, amorphous semiconductors, polymer solutions and magnetic materials can be explained by theories based on a variety of mathematical models, including random assemblies of hard spheres, tetrahedrally-bonded networks and lattices of 'spins'. The text describes these models and the various mathematical theories by which the observable properties are derived. Techniques and concepts such as the mean field and coherent approximations, graphical summation, percolation, scaling and the renormalisation group are explained and applied. This book will be of value to anyone with an interest in theoretical and experimental physics.
Author : Viktor Dotsenko
Publisher : Cambridge University Press
ISBN 13 : 0521773407
Total Pages : 236 pages
Book Rating : 4.09/5 ( download)
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.
Author : Daniel L. Stein
Publisher : Princeton University Press
ISBN 13 : 1400845637
Total Pages : 336 pages
Book Rating : 4.37/5 ( download)
Download or read book Spin Glasses and Complexity written by Daniel L. Stein and published by Princeton University Press. This book was released on 2013-01-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts.
