Peter Reimann

TL;DR: In this paper, the main emphasis is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal noise and some prototypical perturbation that drives the system out of equilibrium without introducing a priori an obvious bias into one or the other direction of motion.

TL;DR: An analogous approach within the framework of classical mechanics is developed and compared with the quantum case, finding that classical equilibration can be proven under very weak assumptions about those measurements and initial conditions, while thermalization still requires quite strong additional hypotheses.

TL;DR: The effective diffusion coefficient for the overdamped Brownian motion in a tilted periodic potential is calculated in closed analytical form and Universality classes and scaling properties for weak thermal noise are identified near the threshold tilt where deterministic running solutions set in.

TL;DR: It is shown that transport in the presence of entropic barriers exhibits peculiar characteristics which makes it distinctly different from that occurring through energy barriers, and this interesting property can be utilized to effectively control transport through quasi-one-dimensional structures in which irregularities or tortuosity of the boundaries causeEntropic effects.

TL;DR: A detailed introduction to directed transport in Brownian motors occurring in spatially periodic systems far from equilibrium is presented in this paper, which elucidates the prominent physical concepts and novel phenomena with a representative dissipative Brownian motor dynamics.