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 …

We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …

Brownian clocks are biomolecular networks that can count time. A paradigmatic example are
proteins that go through a cycle, thus regulating some oscillatory behavior in a living system …

We review the literature on the energetics of Brownian motors, distinguishing between
forced ratchets, chemical motors–driven out of equilibrium by differences of chemical …

There have been many claims that quantum mechanics plays a key role in the origin and/or
operation of biological organisms, beyond merely providing the basis for the shapes and …

In the past three decades, the field of stochastic thermodynamics has been formulated and
highly developed. Stochastic thermodynamics extends the framework of thermodynamics …

To induce transport, detailed balance must be broken. A common mechanism is to bias the
dynamics with a thermodynamic fuel, such as chemical energy. An intriguing, alternative …

Brownian ratchet theory refers to the phenomenon that nonequilibrium fluctuations in an
isothermal medium and anisotropic system can induce mechanical force and motion. This …

We analyze the operation of a molecular machine driven by the nonadiabatic variation of
external parameters. We derive a formula for the integrated flow from one configuration to …

Adiabatic pum** is characterized by a geometric contribution to the pumped charge,
which can be nonzero even in the absence of a bias. However, as the driving speed is …