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 …

Active matter, which ranges from molecular motors to groups of animals, exists at different
length scales and timescales, and various computational models have been proposed to …

Social organisation in animals takes many forms. It includes assemblages of territorial
animals, dominance hierarchies and social groups, among other things. The basic tenet that …

Flocking behaviour is often presented as an example of a self-organized process, where
individuals continuously negotiate on the direction of travel and compromise by moving …

The spontaneous emergence of pattern formation is ubiquitous in nature, often arising as a
collective phenomenon from interactions among a large number of individual constituents or …

One characteristic feature of soft matter systems is their strong response to external stimuli.
As a consequence they are comparatively easily driven out of their ground state and out of …

Animals often travel in groups, and their navigational decisions can be influenced by social
interactions. Both theory and empirical observations suggest that such collective navigation …

We study, in two space dimensions, the collective properties of constant-speed polar point
particles interacting locally by nematic alignment in the presence of noise. This minimal …

Flocking, as paradigmatically exemplified by birds, is the coherent collective motion of active
agents. As originally conceived, flocking emerges through alignment interactions between …

Overdamped Brownian motion of a self-propelled particle is studied by solving the Langevin
equation analytically. On top of translational and rotational diffusion, in the context of the …