Many nonequilibrium, active processes are observed at a coarse-grained level, where
different microscopic configurations are projected onto the same observable state. Such …

Thermodynamic uncertainty relations (TURs) bound the dissipation in nonequilibrium
systems from below by fluctuations of an observed current. Contrasting the elaborate …

We prove that the transport of any differentiable scalar observable in d-dimensional
nonequilibrium systems is bounded from above by the total entropy production scaled by the …

We present general results on fluctuations and spatial correlations of the coarse-grained
empirical density and current of Markovian diffusion in equilibrium or nonequilibrium steady …

Active matter systems are inherently out of equilibrium and break the detailed balance (DB)
at the microscopic scale, exhibiting vital collective phenomena such as motility-induced …

Odd-diffusive systems are characterized by transverse responses and exhibit
unconventional behaviors in interacting systems. To address the dynamical interparticle …

It was predicted and recently experimentally confirmed that systems with microscopically
reversible dynamics in quadratic potentials warm up faster than they cool down. This thermal …

We derive a bound for entropy production in terms of the mean of normalizable path-
antisymmetric observables. The optimal observable for this bound is shown to be the signum …

Because of the kinematic reversibility of the Stokes equation, fluid mixing at the microscale
requires an interplay between advection and diffusion. Here, we introduce mutual …

We investigate path-wise observables in experiments on driven colloids in a periodic light
field to dissect selected intricate transport features, kinetics, and transition-path time statistics …