Active matter encompasses systems whose individual constituents dissipate energy to exert
propelling forces on their environment. These systems exhibit dynamical phenomena with …

Large-scale collective behavior in suspensions of active particles can be understood from
the balance of statistical forces emerging beyond the direct microscopic particle interactions …

We investigate the motion of a run-and-tumble particle (RTP) in one dimension. We find the
exact probability distribution of the particle with and without diffusion on the infinite line, as …

Highly diverse ecosystems exhibit a broad distribution of population sizes and species
turnover, where species at high and low abundances are exchanged over time. We show …

We provide an analytical solution for the time-dependent Fokker-Planck equation for a two-
dimensional active Brownian particle trapped in an isotropic harmonic potential. Using the …

We study the dynamics of a single active Brownian particle (ABP) in two spatial dimensions.
The ABP has an intrinsic timescale DR− 1 set by the rotational diffusion constant DR. We …

We find an exact series solution for the steady-state probability distribution of a harmonically
trapped active Brownian particle in two dimensions in the presence of translational diffusion …

We explore the properties of run-and-tumble particles moving in a piecewise-linear “ratchet”
potential by deriving analytic results for the system's steady-state probability density, current …

Encounter-based model of a run-and-tumble particle II: absorption at sticky boundaries -
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We study two types of active (self-propelled) macroscopic particles under confinement:
camphor surfers and hexbug crawlers, using a combined experimental, theoretical, and …