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 …

The purpose of this book is to present various results and techniques from the theory of
stochastic processes and in particular diffusion processes that are useful in the study of …

Nanoparticles (NPs) confined in thin layers of liquid within liquid cells used for in situ
transmission electron microscopy (TEM) move very slowly, in contrast to free particles in bulk …

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 …

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 …

Directional locking occurs when a particle moving over a periodic substrate becomes
constrained to travel along certain substrate symmetry directions. Such locking effects arise …

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 …

(Oxy) hydroxides such as portlandite (Ca (OH) 2), boehmite (γ-AlOOH), and gibbsite (γ-Al
(OH) 3) have been shown to produce and store dihydrogen or its precursor, the H· atom …

Investigation of nanomachine swarm motion is useful in the design of molecular
transportation systems as well as in understanding the assembly process on the surface …