Large deviations in physics : the legacy of the law of large numbers
Author(s)
Bibliographic Information
Large deviations in physics : the legacy of the law of large numbers
（Lecture notes in physics, v. 885）
Springer, c2014
Available at 12 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNP||885200029525343
Note
Includes bibliographical references and index
Description and Table of Contents
Description
This book reviews the basic ideas of the Law of Large Numbers with its consequences to the deterministic world and the issue of ergodicity. Applications of Large Deviations and their outcomes to Physics are surveyed. The book covers topics encompassing ergodicity and its breaking and the modern applications of Large deviations to equilibrium and non-equilibrium statistical physics, disordered and chaotic systems, and turbulence.
Table of Contents
Ergodicity - A Basic Concept.- Large Deviations in Statistical Mechanics: Rigorous and Non-Rigorous.- Large Deviation Techniques for Long-Range Interactions.- Fluctuation-Dissipation and Fluctuation Relations: From Equilibrium to Nonequilibrium Phenomena and Back.- Stochastic Fluctuations in Deterministic Systems.- Large Deviation and Disordered Systems.- Large Deviations in Turbulence.- Ergodicity Breaking Challenges Monte Carlo Methods.- Anomalous Diffusion: Deterministic and Stochastic Perspectives.- The Use of Fluctuation Relations for the Analysis of Free-Energy Landscapes.
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