Large Deviations in Physics
Large Deviations in Physics The Legacy of the Law of Large Numbers / [electronic resource] :
edited by Angelo Vulpiani, Fabio Cecconi, Massimo Cencini, Andrea Puglisi, Davide Vergni.
- XIV, 314 p. 58 illus., 18 illus. in color. online resource.
- Lecture Notes in Physics, 885 0075-8450 ; .
- Lecture Notes in Physics, 885 .
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.
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.
9783642542510
10.1007/978-3-642-54251-0 doi
Mechanics.
Mathematics.
Statistical physics.
Theoretical, Mathematical and Computational Physics.
Classical Mechanics.
Complex Systems.
Applications of Mathematics.
Statistical Physics and Dynamical Systems.
QC19.2-20.85
530.1
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.
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.
9783642542510
10.1007/978-3-642-54251-0 doi
Mechanics.
Mathematics.
Statistical physics.
Theoretical, Mathematical and Computational Physics.
Classical Mechanics.
Complex Systems.
Applications of Mathematics.
Statistical Physics and Dynamical Systems.
QC19.2-20.85
530.1