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 particles contain internal degrees of freedom with the ability to take in and dissipate
energy and, in the process, execute systematic movement. Examples include all living …

The study of systems with sustained energy uptake and dissipation at the scale of the
constituent particles is an area of central interest in nonequilibrium statistical physics …

Coherently moving flocks of birds, beasts, or bacteria are examples of living matter with
spontaneous orientational order. How do these systems differ from thermal equilibrium …

Twitching motility-mediated biofilm expansion is a complex, multicellular behavior that
enables the active colonization of surfaces by many species of bacteria. In this study we …

Using experiments with anisotropic vibrated rods and quasi-2D numerical simulations, we
show that shape plays an important role in the collective dynamics of self-propelled (SP) …

The structure of bacterial populations is governed by the interplay of many physical and
biological factors, ranging from properties of surrounding aqueous media and substrates to …

We study mixtures of self-propelled and passive rod-like particles in two dimensions using
Brownian dynamics simulations. The simulations demonstrate that the two species …

Motivated by recent simulations and by experiments on aggregation of gliding bacteria, we
study a model of the collective dynamics of self-propelled hard rods on a substrate in two …

Vibrated polar disks have been used experimentally to investigate collective motion of
driven particles, where fully ordered asymptotic regimes could not be reached. Here we …