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

We review the concept of dynamical ensembles in nonequilibrium statistical mechanics as
specified from an action functional or Lagrangian on spacetime. There, under local detailed …

We consider the problem of conditioning a Markov process on a rare event and of
representing this conditioned process by a conditioning-free process, called the effective or …

The thermodynamic uncertainty relation offers a universal energetic constraint on the
relative magnitude of current fluctuations in nonequilibrium steady states. However, it has …

We investigate the dynamics of kinetically constrained models of glass formers by analysing
the statistics of trajectories of the dynamics, or histories, using large deviation function …

We derive an Itô stochastic differential equation for entropy production in nonequilibrium
Langevin processes. Introducing a random-time transformation, entropy production obeys a …

A generalized fluctuation-response relation is found for thermal systems driven out of
equilibrium. Its derivation is independent of many details of the dynamics, which is only …

When monitoring the dynamics of stochastic systems, such as interacting particles agitated
by thermal noise, disentangling deterministic forces from Brownian motion is challenging …

We present an approach to response around arbitrary out-of-equilibrium states in the form of
a fluctuation–response inequality (FRI). We study the response of an observable to a …

Recent large deviation results have provided general lower bounds for the fluctuations of
time-integrated currents in the steady state of stochastic systems. A corollary are so-called …