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

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 physics is about systems in which energy is dissipated at some local level to
produce work. This is a generic situation, particularly in the living world but not only. What is …

Statistical physics has proven to be a fruitful framework to describe phenomena outside the
realm of traditional physics. Recent years have witnessed an attempt by physicists to study …

Fish travel in schools, birds migrate in flocks, honeybees swarm, and ants build trails. How
and why do these collective behaviors occur? Exploring how coordinated group patterns …

We present a self-organizing model of group formation in three-dimensional space, and use
it to investigate the spatial dynamics of animal groups such as fish schools and bird flocks …

We present a quantitative continuum theory of “flocking”: the collective coherent motion of
large numbers of self-propelled organisms. In agreement with everyday experience, our …

Recent models from theoretical physics have predicted that mass-migrating animal groups
may share group-level properties, irrespective of the type of animals in the group. One key …

We review the past decade's theoretical and experimental studies of flocking: the collective,
coherent motion of large numbers of self-propelled “particles”(usually, but not always, living …

As a ripple of light the fish turn. Like some animate fluid, the school glides and turns again.
The synchrony of motion is captivating. A similar integration of behavior can be seen in a …