This review summarizes theoretical progress in the field of active matter, placing it in the
context of recent experiments. This approach offers a unified framework for the mechanical …

We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

The study of systems with sustained energy uptake and dissipation at the scale of the
constituent particles is an area of central interest in nonequilibrium statistical physics …

Active particles contain internal degrees of freedom with the ability to take in and dissipate
energy and, in the process, execute systematic movement. Examples include all living …

The self-organized motion of vast numbers of creatures in a single direction is a spectacular
example of emergent order. Here, we recreate this phenomenon using actuated nonliving …

A molecular motor is made of either a single macromolecule or a macromolecular complex.
Just like their macroscopic counterparts, molecular motors “transduce” input energy into …

We present in detail a Langevin formalism for constructing stochastic dynamical equations
for active-matter systems coupled to a thermal bath. We apply the formalism to clarify issues …

Cell migration is essential to living organisms and deregulated in cancer. Single cell's
migration ranges from traction-dependent mesenchymal motility to contractility-driven …

We study the effect of different types of fluctuation on the motion of self-propelled particles in
two spatial dimensions. We distinguish between passive and active fluctuations. Passive …

Several enzymes show enhanced diffusion in the presence of substrate a feature that is
explained by postulating that the enzyme in the bound state has a higher diffusion constant …