Moving animal groups display remarkable feats of coordination. This coordination is largely
achieved when individuals adjust their movement in response to their neighbours' …

Collective behavior in biological systems is a complex topic, to say the least. It runs wildly
across scales in both space and time, involving taxonomically vastly different organisms …

Within a simple model of attractive active Brownian particles, we predict flocking behavior
and challenge the widespread idea that alignment interactions are necessary to observe this …

The renormalization group is a key set of ideas and quantitative tools of statistical physics
that allow for the calculation of universal quantities that encompass the behaviour of different …

As the constituent particles of a flock are polar and in a driven state, their interactions must,
in general, be fore-aft asymmetric and nonreciprocal. Within a model that explicitly retains …

We study the collective vibrational excitations of crystals under out-of-equilibrium steady
conditions that give rise to entropy production. Their excitation spectrum comprises …

We show that memory, in the form of underdamped angular dynamics, is a crucial ingredient
for the collective properties of self-propelled particles. Using Vicsek-style models with an …

Flocks of birds, schools of fish, and insect swarms are examples of the coordinated motion of
a group that arises spontaneously from the action of many individuals. Here, we study …

The living world is full of cohesive collectives that have evolved to move together with high
efficiency. Schools of fish or flocks of birds maintain their global direction despite significant …

Moving animal groups transmit information through propagating waves or behavioral
cascades, exhibiting characteristics akin to systems near a critical point from statistical …