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

We consider the general problem of determining the steady state of stochastic
nonequilibrium systems such as those that have been used to model (among other things) …

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 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 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 …

Single-file diffusion refers to the motion of diffusive particles in narrow channels, so that they
cannot bypass each other. This constraint leads to the subdiffusion of a tagged particle …

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 study the crossover from the macroscopic fluctuation theory (MFT), which describes one-
dimensional stochastic diffusive systems at late times, to the weak noise theory (WNT) …

Phase transitions not allowed in equilibrium steady states may happen, however, at the
fluctuating level. We observe for the first time this striking and general phenomenon …

We calculate exactly the first cumulants of the integrated current and of the activity (which is
the total number of changes of configurations) of the symmetric simple exclusion process on …