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

One of the main features of statistical systems out of equilibrium is the currents they exhibit in
their stationary state: microscopic currents of probability between configurations, which …

We present the first exact solution for the time-dependent equations of the macroscopic
fluctuation theory (MFT) for the symmetric simple exclusion process by combining a …

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 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 …

This paper provides an introduction to some stochastic models of lattice gases out of
equilibrium and a discussion of results of various kinds obtained in recent years. Although …

Chemical reaction networks offer a natural nonlinear generalization of linear Markov jump
processes on a finite state-space. In this paper, we analyze the dynamical large deviations …

We study three classes of continuous time Markov processes (inclusion process, exclusion
process, independent walkers) and a family of interacting diffusions (Brownian energy …

The one-dimensional symmetric simple exclusion process (SSEP) is one of the very few
exactly soluble models of non-equilibrium statistical physics. It describes a system of …

The symmetric simple exclusion process (SEP) is a paradigmatic model of diffusion in a
single-file geometry, in which the particles cannot cross. In this model, the study of currents …