The fascinating patterns of collective motion created by autonomously driven particles have
fuelled active-matter research for over two decades. So far, theoretical active-matter …

We review the literature on swimming in complex fluids. A classification is proposed by
comparing the length-and timescales of a swimmer with those of nearby obstacles …

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) …

The field of active matter, and particularly active emulsions, is growing rapidly, with
significant progress made recently on both theoretical and experimental fronts. Here, we …

We propose a thermodynamics-based learning strategy for non-equilibrium evolution
equations based on Onsager's variational principle, which allows us to write such PDEs in …

Oscillatory behavior is ubiquitous in out-of-equilibrium systems showing spatiotemporal
pattern formation. Starting from a linear large-scale oscillatory instability—a conserved-Hopf …

Thermodynamic uncertainty relations (TURs) bound the dissipation in nonequilibrium
systems from below by fluctuations of an observed current. Contrasting the elaborate …

Recent work suggests that nonreciprocal interactions are universally present in living
systems and constitute an important part of active matter. These interactions, that are in …

We study the dynamics of micron-sized particles on a layer of motile cells. This cell carpet
acts as an active bath that propels passive tracer particles via direct mechanical contact. The …

Chiral active matter is enjoying a rapid increase of interest, spurred by the rich variety of
asymmetries that can be attained in, eg, the shape or self-propulsion mechanism of active …