Statistical Mechanics Of Classical And Disordered Systems PDF Download
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Author | : Véronique Gayrard |
Publisher | : Springer Nature |
Total Pages | : 279 |
Release | : 2019-09-15 |
Genre | : Mathematics |
ISBN | : 3030290778 |
Download Statistical Mechanics of Classical and Disordered Systems Book in PDF, ePub and Kindle
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 | : Cambridge University Press |
Total Pages | : 297 |
Release | : 2006-06-08 |
Genre | : Mathematics |
ISBN | : 0521849918 |
Download Statistical Mechanics of Disordered Systems Book in PDF, ePub and Kindle
Publisher Description
Author | : Sacha Friedli |
Publisher | : Cambridge University Press |
Total Pages | : 643 |
Release | : 2017-11-23 |
Genre | : Mathematics |
ISBN | : 1107184827 |
Download Statistical Mechanics of Lattice Systems Book in PDF, ePub and Kindle
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author | : Pierluigi Contucci |
Publisher | : Cambridge University Press |
Total Pages | : 383 |
Release | : 2016-12-15 |
Genre | : Science |
ISBN | : 1316867420 |
Download Advances in Disordered Systems, Random Processes and Some Applications Book in PDF, ePub and Kindle
This book offers a unified perspective on the study of complex systems for scholars of various disciplines, including mathematics, physics, computer science, biology, economics and social science. The contributions, written by leading scientists, cover a broad set of topics, including new approaches to data science, the connection between scaling limits and conformal field theories, and new ideas on the Legendre duality approach in statistical mechanics of disordered systems. The volume moreover explores results on extreme values of correlated random variables and their connection with the Riemann zeta functions, the relation between diffusion phenomena and complex systems, and the Brownian web, which appears as the universal scaling limit of several probabilistic models. Written for researchers from a broad range of scientific fields, this text examines a selection of recent developments in complex systems from a rigorous perspective.
Author | : Anton Bovier |
Publisher | : |
Total Pages | : 192 |
Release | : 2001 |
Genre | : |
ISBN | : |
Download Statistical Mechanics of Disordered Systems Book in PDF, ePub and Kindle
Author | : Viktor Dotsenko |
Publisher | : Cambridge University Press |
Total Pages | : 236 |
Release | : 2005-10-13 |
Genre | : Science |
ISBN | : 9780521021258 |
Download Introduction to the Replica Theory of Disordered Statistical Systems Book in PDF, ePub and Kindle
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.
Author | : Manuel Osvaldo Cáceres |
Publisher | : Springer |
Total Pages | : 568 |
Release | : 2017-03-07 |
Genre | : Science |
ISBN | : 3319515535 |
Download Non-equilibrium Statistical Physics with Application to Disordered Systems Book in PDF, ePub and Kindle
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 | : Charles M. Newman |
Publisher | : Birkhäuser |
Total Pages | : 93 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034889127 |
Download Topics in Disordered Systems Book in PDF, ePub and Kindle
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 | : Manuel Osvaldo Cáceres |
Publisher | : Springer |
Total Pages | : 556 |
Release | : 2018-07-21 |
Genre | : Science |
ISBN | : 9783319846811 |
Download Non-equilibrium Statistical Physics with Application to Disordered Systems Book in PDF, ePub and Kindle
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 | : Anton Bovier |
Publisher | : |
Total Pages | : |
Release | : 2001 |
Genre | : |
ISBN | : |
Download Statistical Mechanics of Disordered Systems Book in PDF, ePub and Kindle