We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

We study analytically the emergence of spontaneous collective motion within large
bidimensional groups of self-propelled particles with noisy local interactions, a schematic …

We discuss biologically inspired, inherently non-equilibrium models of self-propelled
particles, in which the particles interact with their neighbors by choosing at each time step …

Differently from passive Brownian particles, active particles, also known as self-propelled
Brownian particles or microswimmers and nanoswimmers, are capable of taking up energy …

Understanding collective properties of driven particle systems is significant for naturally
occurring aggregates and because the knowledge gained can be used as building blocks …

We study the effect of different types of fluctuation on the motion of self-propelled particles in
two spatial dimensions. We distinguish between passive and active fluctuations. Passive …

Randomness is an inherent property of biological systems. In contrast, randomness has
been mostly avoided in designing synthetic or artificial systems. Particularly, in designing …

Examples of self-propulsion in strongly fluctuating environments are abundant in nature, eg,
molecular motors and pumps operating in living cells. Starting from the Langevin equation of …

Spherical Janus particles are one of the most prominent examples for active Brownian
objects. Here, we study the diffusiophoretic motion of such microswimmers in experiment …

Combining experiments on active colloids, whose propulsion velocity can be controlled via a
feedback loop, and the theory of active Brownian motion, we explore the dynamics of an …