Self-propelled particles include both self-phoretic synthetic colloids and various
microorganisms. By continually consuming energy, they bypass the laws of equilibrium …

This review summarizes theoretical progress in the field of active matter, placing it in the
context of recent experiments. This approach offers a unified framework for the mechanical …

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

Spontaneous formation of colonies of bacteria or flocks of birds are examples of self-
organization in active living matter. Here, we demonstrate a form of self-organization from …

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 examine a minimal model for an active colloidal fluid in the form of self-propelled
Brownian spheres that interact purely through excluded volume. Despite the absence of an …

When in equilibrium, thermal forces agitate molecules, which then diffuse, collide and bind
to form materials. However, the space of accessible structures in which micron-scale …

Abstract Active Brownian particles (ABPs, such as self-phoretic colloids) swim at fixed speed
v along a body-axis u that rotates by slow angular diffusion. Run-and-tumble particles …

Bio-mechanical hybrids are an emerging class of engineered composite soft materials with
the ability to move and reconfigure their structure and properties in response to external …

Abstract Active Brownian particles (ABPs) and Run-and-Tumble particles (RTPs) both self-
propel at fixed speed v along a body-axis u that reorients either through slow angular …