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 …

Exciting recent developments suggest that phase transitions represent an important and
ubiquitous mechanism underlying intracellular organization. We describe key experimental …

Phase segregation is ubiquitously observed in immiscible mixtures, such as oil and water, in
which the mixing entropy is overcome by the segregation enthalpy,–. In monodispersed …

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

Pair interactions between active particles need not follow Newton's third law. In this work, we
propose a continuum model of pattern formation due to nonreciprocal interaction between …

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

Bacteria commonly live attached to surfaces in dense collectives containing billions of cells.
While it is known that motility allows these groups to expand en masse into new territory …

The collective phenomena exhibited by artificial active matter systems present novel routes
to fabricating out‐of‐equilibrium microscale assemblies. Here, the crystallization of passive …

These lecture notes are designed to provide a brief introduction into the phenomenology of
active matter and to present some of the analytical tools used to rationalize the emergent …

We investigate the motion of a run-and-tumble particle (RTP) in one dimension. We find the
exact probability distribution of the particle with and without diffusion on the infinite line, as …