Active matter encompasses systems whose individual constituents dissipate energy to exert
propelling forces on their environment. These systems exhibit dynamical phenomena with …

The past two decades have seen a remarkable progress in the development of synthetic
colloidal agents which are capable of creating directed motion in an unbiased environment …

The emergence of collective motion among interacting, self-propelled agents is a central
paradigm in non-equilibrium physics. Examples of such active matter range from swimming …

Chiral active matter comprises particles which can self-propel and self-rotate. Examples
range from sperm cells and bacteria near walls to autophoretic L-shaped colloids. In this …

We generalize the Vicsek model to describe the collective behavior of polar circle swimmers
with local alignment interactions. While the phase transition leading to collective motion in …

Conspectus The ability to navigate in chemical gradients, called chemotaxis, is crucial for
the survival of microorganisms. It allows them to find food and to escape from toxins. Many …

Recently, non-reciprocal systems have become a focus of growing interest. Examples occur
in soft and active matter, but also in engineered quantum materials and neural (brain) …

We introduce a representative minimal model for phoretically interacting active colloids.
Combining kinetic theory, linear stability analyses, and a general relation between self …

The survival of many microorganisms, like Leptospira or Spiroplasma bacteria, can depend
on their ability to navigate towards regions of favorable viscosity. While this ability, called …

Despite mounting evidence that the same gradients, which active colloids use for swimming,
induce important cross-interactions (phoretic interactions), they are still ignored in most …