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

Minimal models of active Brownian colloids consisting of self-propelled spherical particles
with purely repulsive interactions have recently been identified as excellent quantitative …

Biomolecular and physical cues of the extracellular matrix environment regulate collective
cell dynamics and tissue patterning. Nonetheless, how the viscoelastic properties of the …

Active matter systems are driven out of thermal equilibrium by a lack of generalized Stokes-
Einstein relation between injection and dissipation of energy at the microscopic scale. We …

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

Pressure is the mechanical force per unit area that a confined system exerts on its container.
In thermal equilibrium, it depends only on bulk properties—such as density and temperature …

We derive a microscopic expression for the mechanical pressure P in a system of spherical
active Brownian particles at density ρ. Our exact result relates P, defined as the force per unit …

Active-matter systems operate far from equilibrium because of the continuous energy
injection at the scale of constituent particles. At larger scales, described by coarse-grained …

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 …

Recent theories predict phase separation among orientationally disordered active particles
whose propulsion speed decreases rapidly enough with density. Coarse-grained models of …