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 …

Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book
discusses fundamental properties of transient and stationary solutions, emphasizing the …

Brownian motors are nonequilibrium systems that rectify thermal fluctuations to achieve
directed motion, using spatial or temporal asymmetry. We provide a tutorial introduction to …

We consider a single, classical Brownian particle in a spatially symmetric periodic system far
from thermal equilibrium, which can be readily realized experimentally. Upon application of …

Transport in the realm of soft matter is strongly influenced by diffusion. Conditions far from
thermal equilibrium and non-linear dynamics may give rise to unexpected transport …

Random walks with absolute negative mobility Page 1 Random walks with absolute negative
mobility B. Cleuren and C. Van den Broeck Limburgs Universitair Centrum, B-3590 Diepenbeek …

We study directed energy transport in homogeneous nonlinear extended systems in the
presence of homogeneous ac forces and dissipation. We show that the mechanism …

We introduce a thermal engine consisting of N interacting Brownian particles moving in a
periodic potential, featuring an alternation of hot and cold symmetric peaks. A discretized …

The drift and diffusion of a few interacting, overdamped Brownian particles in a tilted periodic
potential are studied analytically and numerically. Both quantities exhibit a complex …