Active systems are driven out of equilibrium by exchanging energy and momentum with their
environment. This endows them with anomalous mechanical properties that are reviewed in …

We consider an overdamped run-and-tumble particle in two dimensions, with self-propulsion
in an orientation that stochastically rotates by 90∘ at a constant rate, clockwise or …

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 present exact results for the fluctuations in the number of particles crossing the origin up
to time t in a collection of noninteracting run and tumble particles in one dimension. In …

We study the full nonequilibrium steady-state distribution P st (X) of the position X of a
damped particle confined in a harmonic trap** potential and experiencing active noise …

We investigate the statistics of the local time T=∫ 0 T δ (x (t)) dt that a run and tumble
particle (RTP) x (t) in one dimension spends at the origin, with or without an external drift. By …

Active systems are characterized by a continuous production of entropy at steady state. We
study the statistics of entropy production within a lattice-based model of interacting active …

We identify a new scenario for dynamical phase transitions associated with time-integrated
observables occurring in diffusive systems described by the macroscopic fluctuation theory …

We revisit the one-dimensional model of the symmetric simple exclusion process slowly
coupled with two unequal reservoirs at the boundaries. In its non-equilibrium stationary …

We consider an overdamped particle with a general physical mechanism that creates noisy
active movement (eg, a run-and-tumble particle or active Brownian particle, etc.), that is …