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 …

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

One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

Unlike equilibrium statistical mechanics, with its well-established foundations, a similar
widely accepted framework for non-equilibrium statistical mechanics (NESM) remains …

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 …

We consider the general problem of determining the steady state of stochastic
nonequilibrium systems such as those that have been used to model (among other things) …

A molecular motor is made of either a single macromolecule or a macromolecular complex.
Just like their macroscopic counterparts, molecular motors “transduce” input energy into …

Traffic-like collective movements are observed at almost all levels of biological systems.
Molecular motor proteins like, for example, kinesin and dynein, which are the vehicles of …

This article is an accessible introduction to ratchets and their potential uses. A ratchet can
dramatically improve directional transport of classical or quantum particles in systems that …

The spatial organization of the cell depends upon intracellular trafficking of cargos hauled
along microtubules and actin filaments by the molecular motor proteins kinesin, dynein, and …