The diffusion of small particles is omnipresent in many processes occurring in nature. As
such, it is widely studied and exerted in almost all branches of sciences. It constitutes such a …

Observations of microstructural coarsening at cryogenic temperatures, as well as numerous
simulations of grain boundary motion that show faster migration at low temperature than at …

Non-interacting Brownian particles obey Langevin equations fulfilling a fluctuation–
dissipation relation between friction and thermal noise. Under a linear potential (constant …

We carry out a detailed study of the motion of particles driven by a constant external force
over a landscape consisting of a periodic potential corrugated by a small amount of spatial …

We consider the diffusive properties of Brownian motion in a biased periodic potential. We
relate the effective diffusion coefficient to the solution of two coupled time-independent …

Particles moving on crystalline surfaces and driven by external forces or flow fields can
acquire velocities along directions that deviate from that of the external force. This effect …

We study and characterize a new dynamical regime of underdamped particles in a tilted
washboard potential. We find that for small friction in a finite range of forces the particles …

An adapted simulation method is used to systematically study grain boundary motion at
velocities and driving forces across more than five orders of magnitude. This analysis …

We study the effect of an asymmetry on the transport properties of an active Brownian
particle. We demonstrate the existence of a critical force or, more generally, of a critical …

In many applications, ionic liquids (ILs) work in a nonequilibrium steady state driven by an
external electric field. However, how the electric field changes the structure and dynamics of …