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 …

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 …

A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …

For an underdamped Brownian particle in a one-dimensional periodic potential we
theoretically predict three unusual transport properties:(i) A static bias force (of either sign) …

We address the problem of controlling chaotic motion and deterministic directed transport in
inertia ratchets. We employ a recursive backstepping nonlinear control technique to control …

Deterministic directed transport of inertia particles in a periodically on-off ratchet potential is
investigated. We find that the directed transport can be induced by a finite inertia; ie, in the …

We present the effect of current reversals in inertial chaotic ratchets, without changing a
control parameter. This novel situation can occur when we have multiple coexisting …

The synchronization (CS) and anti-synchronization (AS) of two non-identical inertial ratchets
moving in different asymmetric potentials and transporting particles chaotically is …

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 …

We address the problem of the chaotic transport of point particles and rigid dimers in an
asymmetric periodic ratchet potential. When the inertial term is taken into account, the …