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

In ergodic physical systems, time-averaged quantities converge (for large times) to their
ensemble-averaged values. Large deviation theory describes rare events where these time …

Near equilibrium, small current fluctuations are described by a Gaussian distribution with a
linear-response variance regulated by the dissipation. Here, we demonstrate that dissipation …

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 …

Linear diffusions are used to model a large number of stochastic processes in physics,
including small mechanical and electrical systems perturbed by thermal noise, as well as …

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 …

We study current fluctuations in lattice gases in the macroscopic limit extending the dynamic
approach for density fluctuations developed in previous articles. More precisely, we …

We derive the Bethe ansatz equations describing the complete spectrum of the transition
matrix of the partially asymmetric exclusion process with the most general open boundary …

We study the statistics, in stationary conditions, of the work W τ done by the active force in
different systems of self-propelled particles in a time τ. We show the existence of a critical …

We show how to apply the macroscopic fluctuation theory (MFT) of Bertini, De Sole,
Gabrielli, Jona-Lasinio, and Landim to study the current fluctuations of diffusive systems with …