We study the statistical properties of active Ornstein-Uhlenbeck particles (AOUPs). In this
simplest of models, the Gaussian white noise of overdamped Brownian colloids is replaced …

By considering a simple model for self-propelled particle interaction, we show that anti-
aligning forces induce a finite wavelength instability. Consequently, the system exhibits …

Synchronization, the temporal coordination of coupled oscillators, allows fireflies to flash in
unison, neurons to fire collectively, and human crowds to fall in step on the London …

We study the role of noise on the nature of the transition to collective motion in dry active
matter. Starting from field theories that predict a continuous transition at the deterministic …

Recently, it has been shown that there is a trade-off relation between thermodynamic cost
and current fluctuations, referred to as the thermodynamic uncertainty relation (TUR). The …

The diffusion of chiral active Brownian particles in three-dimensional space is studied
analytically, by consideration of the corresponding Fokker-Planck equation for the …

A theoretical analysis of active motion on curved surfaces is presented in terms of a
generalization of the telegrapher equation. Such a generalized equation is explicitly derived …

We investigate the low mass limit of Langevin dynamics for a charged Brownian particle
driven by a magnetic Lorentz force. In the low mass limit, velocity variables relaxing quickly …

Recently, it has been shown that purely anti-aligning interaction between active particles
may induce a finite wavelength instability. The formed patterns display intricate …

We study a collection of polar self-propelled particles or polar flock on a two dimensional
substrate involving birth and death. Most of the previous studies of polar flock with birth and …