General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are
considered. After analyzing the conceptual and historical relevance of fluctuations in …

Deterministic'thermostats' are mathematical tools used to model nonequilibrium steady
states of fluids. The resulting dynamical systems correctly represent the transport properties …

We discuss an extension of the fluctuation theorem to stochastic models that, in the limit of
zero external drive, are not able to equilibrate with their environment, extending earlier …

The fluctuations in nonequilibrium systems are under intense theoretical and experimental
investigation. Topical'fluctuation relations' describe symmetries of the statistical properties of …

Intended for beginners in ergodic theory, this introductory textbook addresses students as
well as researchers in mathematical physics. The main novelty is the systematic treatment of …

Time irreversibility is a distinctive feature of non-equilibrium phenomena such as turbulent
flows, where irreversibility is mainly associated with an energy cascade process. The …

We test the fluctuation theorem from measurements in turbulent flows. We study the time
fluctuations of the force acting on an obstacle, and we consider two experimental situations …

This paper analyses the turbulent energy cascade from the perspective of statistical
mechanics, and relates interscale energy fluxes to statistical irreversibility and information …

The fluctuation relation of the Gallavotti-Cohen fluctuation theorem (GCFT) concerns
fluctuations in the phase-space compression rate of dissipative, reversible dynamical …

We construct different equivalent non-equilibrium statistical ensembles in a simple yet
instructive N N-degrees of freedom model of atmospheric turbulence, introduced by Lorenz …