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Large Deviations in Physics The Legacy of the Law of Large Numbers /

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 appl...

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Corporate Author: SpringerLink (Online service)
Other Authors: Vulpiani, Angelo. (Editor, http://id.loc.gov/vocabulary/relators/edt), Cecconi, Fabio. (Editor, http://id.loc.gov/vocabulary/relators/edt), Cencini, Massimo. (Editor, http://id.loc.gov/vocabulary/relators/edt), Puglisi, Andrea. (Editor, http://id.loc.gov/vocabulary/relators/edt), Vergni, Davide. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:Lecture Notes in Physics, 885
Subjects:
Mathematical physics.
Mechanics.
Statistical physics.
Dynamical systems.
Applied mathematics.
Engineering mathematics.
Theoretical, Mathematical and Computational Physics.
Classical Mechanics.
Complex Systems.
Applications of Mathematics.
Statistical Physics and Dynamical Systems.
Online Access:https://doi.org/10.1007/978-3-642-54251-0
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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