Europhys. Lett.
Volume 64, Number 5, December 2003
Page(s) 599 - 605
Section General
Published online 01 November 2003
DOI: 10.1209/epl/i2003-00270-x
Europhys. Lett., 64 (5) , pp. 599-605 (2003)

Non-cooperative Brownian donkeys: A solvable 1D model

B. Jiménez de Cisneros1, P. Reimann2 and J. M. R. Parrondo1

1  Grupo Interdisciplinar de Sistemas Complejos (GISC) and Departamento de Física Atómica, Molecular y Nuclear Universidad Complutense de Madrid - 28040 Madrid, Spain
2  Fakultät für Physik, Universität Bielefeld - 33615 Bielefeld, Germany

(Received 18 July 2003; accepted 1 October 2003)

A paradigmatic 1D model for Brownian motion in a spatially symmetric, periodic system is tackled analytically. Upon application of an external static force F the system's response is an average current which is positive for F<0 and negative for F>0 (absolute negative mobility). Under suitable conditions, the system approaches 100% efficiency when working against the external force F.

05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
05.60.-k - Transport processes.
02.50.Ey - Stochastic processes.

© EDP Sciences 2003