Active colloids are self-propelled particles moving in viscous fluids by consuming fuel from
their surroundings. Here, we review the numerical and theoretical modeling of active …

Over the past two decades, complex network theory provided the ideal framework for
investigating the intimate relationships between the topological properties characterizing the …

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 …

Active colloids are microscopic particles, which self-propel through viscous fluids by
converting energy extracted from their environment into directed motion. We first explain …

Active materials are characterized by continuous injection of energy at the microscopic level
and typically cannot be adequately described by equilibrium thermodynamics. Here we …

Active particles that are self-propelled by converting energy into mechanical motion
represent an expanding research realm in physics and chemistry. For micrometer-sized …

Active colloids use energy input at the particle level to propel persistent motion and direct
dynamic assemblies. We consider three types of colloids animated by chemical reactions …

Synchronization occurs in many natural and technological systems, from cardiac pacemaker
cells to coupled lasers. In the synchronized state, the individual cells or lasers coordinate the …

We study the hydrodynamics of fluids composed of self-spinning objects such as chiral
grains or colloidal particles subject to torques. These chiral active fluids break both parity …

Self-assembly is the autonomous organization of components into patterns or structures: an
essential ingredient of biology and a desired route to complex organization. At equilibrium …