We review the general hydrodynamic theory of active soft materials that is motivated in
particular by biological matter. We present basic concepts of irreversible thermodynamics of …

Transport phenomena in spatially periodic systems far from thermal equilibrium are
considered. The main emphasis is put on directed transport in so-called Brownian motors …

The possibility for the manipulation of many different samples using only the light from a
laser beam opened the way to a variety of experiments. The technique, known as Optical …

By using an independent self-assembly process that is occasionally controlled by
evaporation, cellulose nanocrystals (CNCs) may create films (pure or in conjunction with …

The friction coefficient of a particle can depend on its position, as it does when the particle is
near a wall. We formulate the dynamics of particles with such state-dependent friction …

Heterogeneous diffusion processes (HDPs) feature a space-dependent diffusivity of the form
D (x)= D 0| x| α. Such processes yield anomalous diffusion and weak ergodicity breaking …

Heterogeneous diffusion with a spatially changing diffusion coefficient arises in many
experimental systems such as protein dynamics in the cell cytoplasm, mobility of cajal …

We demonstrate how the ineluctable presence of thermal noise alters the measurement of
forces acting on microscopic and nanoscopic objects. We quantify this effect exemplarily for …

The study of active matter has revealed novel non-equilibrium collective behaviors,
illustrating their potential as a new materials platform. However, most work treat active matter …

We show the relation between processes which are modeled by a Langevin equation with
multiplicative noise and infinite ergodic theory. We concentrate on a spatially dependent …