We summarise different results on the diffusion of a tracer particle in lattice gases of hard-
core particles with stochastic dynamics, which are confined to narrow channels—single-files …

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 …

We derive the long-time dynamics of a tracer immersed in a one-dimensional active bath. In
contrast to previous studies, we find that the damping and noise correlations possess long …

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

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 apply macroscopic fluctuation theory to study the diffusion of a tracer in a one-
dimensional interacting particle system with excluded mutual passage, known as single-file …

We calculate the diffusion coefficient of an active tracer in a schematic crowded
environment, represented as a lattice gas of passive particles with hardcore interactions …

In a finite system driven out of equilibrium by a constant external force the thermodynamic
uncertainty relation (TUR) bounds the variance of the conjugate current variable by the …

We consider an infinite system of particles on a line performing identical Brownian motions
and interacting through the| x− y|− s Riesz potential, causing the overdamped motion of …

Single-file diffusion refers to the motion in narrow channels of particles which cannot bypass
each other, and leads to tracer subdiffusion. Most approaches to this celebrated many-body …