We study the position distribution P (R ⃗, N) of a run-and-tumble particle (RTP) in arbitrary
dimension d, after N runs. We assume that the constant speed v> 0 of the particle during …

We study the time evolution of thermodynamic observables that characterise the dissipative
nature of thermal relaxation after an instantaneous temperature quench. Combining tools …

We consider a single run-and-tumble particle (RTP) moving in one dimension. We assume
that the velocity of the particle is drawn independently at each tumbling from a zero-mean …

We uncover a finite-time dynamical phase transition in the thermal relaxation of a mean-field
magnetic model. The phase transition manifests itself as a cusp singularity in the probability …

We derive exact expressions for the finite-time statistics of extrema (maximum and minimum)
of the spatial displacement and the fluctuating entropy flow of biased random walks. Our …

We investigate the nonequilibrium energetics near a critical point of a non-linear oscillator
immersed in an active bacterial bath. At the critical point, we reveal a scaling exponent of the …

We investigate active lattice walks: biased continuous time random walks which perform
orientational diffusion between lattice directions in one and two spatial dimensions. We …

We study the appearance of first-order dynamical phase transitions (DPTs) as “intermittent”
coexisting phases in the fluctuations of random walks on graphs. We show that the diverging …

We compare the fluctuations in the velocity and in the fraction of time spent at a given
position for minimal models of a passive and an active particle: an asymmetric random …

The presence of temporal correlations in random movement trajectories is a widespread
phenomenon across biological, chemical and physical systems. The ubiquity of persistent …