Stationary nonequilibrium states describe steady flows through macroscopic systems.
Although they represent the simplest generalization of equilibrium states, they exhibit a …

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

Active-matter systems operate far from equilibrium because of the continuous energy
injection at the scale of constituent particles. At larger scales, described by coarse-grained …

These lecture notes give a short review of methods such as the matrix ansatz, the additivity
principle or the macroscopic fluctuation theory, developed recently in the theory of non …

We derive a universal bound on generalized currents in Langevin systems in terms of the
mean-square fluctuations of the current and the total entropy production. This bound …

We determine the full statistics of nonstationary heat transfer in the Kipnis-Marchioro-Presutti
lattice gas model at long times by uncovering and exploiting complete integrability of the …

We introduce a numerical procedure to evaluate directly the probabilities of large deviations
of physical quantities, such as current or density, that are local in time. The large-deviation …

We consider diffusive lattice gases on a ring and analyze the stability of their density profiles
conditionally to a current deviation. Depending on the current, one observes a phase …

Active work measures how far the local self-forcing of active particles translates into real
motion. Using population Monte Carlo methods, we investigate large deviations in the active …

We analyze biased ensembles of trajectories for diffusive systems. In trajectories biased
either by the total activity or the total current, we use fluctuating hydrodynamics to show that …