Elasticity typically refers to a material's ability to store energy, whereas viscosity refers to a
material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is …

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 …

Broken time-reversal and parity symmetries in active spinner fluids imply a nondissipative
“odd viscosity,” engendering phenomena unattainable in traditional passive or active fluids …

Self-propelled particles, which convert energy into mechanical motion, exhibit inertia if they
have a macroscopic size or move inside a gaseous medium, in contrast to micron-sized …

Understanding if and how the chirality of biomolecules is transferred across scales into
larger components and active processes remains elusive. For instance, flagellated bacteria …

The discovery of topological edge states that unidirectionally propagate along the boundary
of system without backscattering has enabled the development of new design principles for …

Due to its inherent out-of-equilibrium nature, active matter in confinement may exhibit
collective behavior absent in unconfined systems. Extensive studies have indicated that …

Many self-propelled objects are large enough to exhibit inertial effects but still suffer from
environmental fluctuations. The corresponding basic equations of motion are governed by …

One of the intrinsic characteristics of far-from-equilibrium systems is the nonrelaxational
nature of the system dynamics, which leads to novel properties that cannot be understood …

Topological materials exhibit edge-localized scattering-free modes protected by their
nontrivial bulk topology through the bulk-edge correspondence in Hermitian systems. While …