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Titlebook: Large Deviations in Physics; The Legacy of the La Angelo Vulpiani,Fabio Cecconi,Davide Vergni Book 2014 Springer-Verlag Berlin Heidelberg 2

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Large Deviations in Stationary States, Especially Nonequilibrium,ffusive systems known as .. Our theory has been inspired by stochastic models of interacting particles (stochastic lattice gases). It is based on the study of rare fluctuations of macroscopic variables in stationary states and is applicable to a wide class of systems. The present overview emphasizes
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Fluctuation-Dissipation and Fluctuation Relations: From Equilibrium to Nonequilibrium and Back,ties of thermodynamic systems from observations of equilibrium phenomena. The modern transient fluctuation relations do the opposite: they allow us to understand equilibrium properties from nonequilibrium experiments. Under proper conditions, the transient relations turn into statements about nonequ
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Large Deviations Techniques for Long-Range Interactions,eptibility, broken ergodicity, etc.) and a recall of Cramèr’s theorem, we discuss in this chapter a general method which allows us to compute microcanonical entropy for systems of the mean-field type. The method consists in expressing the Hamiltonian in terms of global variables and, then, in comput
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Anomalous Diffusion: Deterministic and Stochastic Perspectives,ng trajectories of a chaotic map. There are many ways in which such a picture fails, and, for instance, the variance of the traveller’s position does not grow linearly with time. We review the basic mechanisms that induce deviations from normal transport (long waiting times, broad step length distri
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Large Deviations in Turbulence,oped turbulence. Particular emphasis is reserved to the phenomenon of intermittency, i.e., the most relevant manifestation of the break-down of mean field arguments in turbulence. To explain intermittency, the statistical role of fluctuations are explicitly accounted for by means of the multifractal
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