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 …

Chaotic dynamics can be considered as a physical phenomenon that bridges the regular
evolution of systems with the random one. These two alternative states of physical …

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined
with unbiased external input signals, deterministic and random alike, can assist directed …

Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

The dynamics of realistic Hamiltonian systems has unusual microscopic features that are
direct consequences of its fractional space-time structure and its phase space topology. The …

Theoretical physics deals with physical models. The main requirements for a good physical
model are simplicity and universality. Universal models which can be applied to describe a …

Transport properties of particles and waves in spatially periodic structures that are driven by
external time-dependent forces manifestly depend on the space–time symmetries of the …

We study the quantum version of a tilting and flashing Hamiltonian ratchet, consisting of a
periodic potential and a time-periodic driving field. The system dynamics is governed by a …

With this work, we investigate an often neglected aspect of Brownian motor transport,
namely, the role of fluctuations of the noise-induced current and its consequences for the …

We consider low-dimensional dynamical systems exposed to a heat bath and to additional
ac fields. The presence of these ac fields may lead to a breaking of certain spatial or …