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 study of Brownian ratchets has taught how time-periodic driving supports a time-
periodic steady state that generates nonequilibrium transport. When a single particle is …

This work presents an updated and extended guide on methods of a proper acceleration of
the Monte Carlo integration of stochastic differential equations with the commonly available …

An inertial Brownian motor with time-delayed feedback driven by an unbiased time-periodic
force is investigated. It is found that the mean velocity and the rectification efficiency are …

A quantum Smoluchowski equation is put forward that consistently describes thermal
quantum states. In particular, it notably does not induce a violation of the second law of …

Ratchets rectify the motion of randomly moving particles, which are driven by isotropic
sources of energy such as thermal and chemical energy, without applying a net, time …

The noise-assisted, directed transport in a one-dimensional dissipative, inertial Brownian
motor of the rocking type that is exposed to an external bias is investigated. We demonstrate …

Transport properties of overdamped Brownian particles in a rocked thermal ratchet with
space dependent friction coefficient is studied. By tuning the parameters, the direction of …

We study diffusion of the Josephson phase in the asymmetric superconducting quantum
interference device (SQUID) subjected to a time-periodic current and pierced by an external …

We study transport in an asymmetric superconducting quantum interference device (SQUID)
which is composed of a loop with three capacitively and resistively shunted Josephson …