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

The variational principles called maximum entropy (MaxEnt) and maximum caliber
(MaxCal)<? format?> are reviewed. MaxEnt originated in the statistical physics of Boltzmann …

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 …

The thermodynamic formalism allows one to access the chaotic properties of equilibrium
and out-of-equilibrium systems, by deriving those from a dynamical partition function. The …

Fluctuation theorems make use of time reversal to make predictions about entropy
production in many-body systems far from thermal equilibrium. Here we review the wide …

We study the current large deviations for a lattice model of interacting active particles
displaying a motility-induced phase separation (MIPS). To do this, we first derive the exact …

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 …

We study the probability distribution of a current flowing through a diffusive system
connected to a pair of reservoirs at its two ends. Sufficient conditions for the occurrence of a …

We study the large deviations of the time-integrated current for a driven diffusion on the
circle, often used as a model of nonequilibrium systems. We obtain the large deviation …

We discuss the relationships between large deviations in stochastic systems, and “effective
interactions” that induce particular rare events. We focus on the nature of these effective …