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 …

A reflection of our ultimate understanding of a complex system is our ability to control its
behavior. Typically, control has multiple prerequisites: it requires an accurate map of the …

We review the observations and the basic laws describing the essential aspects of collective
motion—being one of the most common and spectacular manifestation of coordinated …

We show that the collective properties of self-propelled particles aligning with their
topological (Voronoi) neighbors are qualitatively different from those of usual models where …

We consider a coarse-grained description of a collection of self-propelled particles given by
hydrodynamic equations for the density and polarization fields. We find that the ordered …

Phase transitions are an important and extensively studied concept in physics. The insights
derived from understanding phase transitions in physics have recently and successfully …

Dynamics of bidirectionally coupled swarmalators subject to attractive and repulsive
couplings is analyzed. The probability of two elements in different layers being connected …

We provide a complete and rigorous description of phase transitions for kinetic models of
self-propelled particles interacting through alignment. These models exhibit a competition …

An instability near the transition to collective motion of self-propelled particles is studied
numerically by Enskog-like kinetic theory. While hydrodynamics breaks down, the kinetic …

We study the escape problem for interacting, self-propelled particles confined to a disk,
where particles can exit through one open slot on the circumference. Within a minimal two …