Issue
EPL
Volume 86, Number 4, May 2009
Article Number 40002
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/86/40002
Published online 29 May 2009
EPL, 86 (2009) 40002
DOI: 10.1209/0295-5075/86/40002

Two-state flashing molecular pump

A. Gomez-Marin and J. M. Sancho

Facultat de Física, Universitat de Barcelona - Diagonal 647, Barcelona, Spain, EU


received 12 November 2008; accepted in final form 27 April 2009; published May 2009
published online 29 May 2009

Abstract
Here we study a pumping device capable of maintaining a density gradient and a flux of particles across a membrane. Its driving mechanism is based on the flashing ratchet effect powered by the random telegraph process in the presence of thermal fluctuations. Unlike Brownian motors, the concentrations at both reservoir boundaries need to be implemented as boundary conditions. The residence transition rates of the dichotomic flashing are related to the binding and hydrolysis of ATP molecules. The model is exactly solved and explored. The pump energetics is discussed and the relevant parameter values are tuned within a biological scale.

PACS
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
05.10.Gg - Stochastic analysis methods (Fokker-Planck, Langevin, etc.).
87.16.A- - Theory, modeling, and simulations.

© EPLA 2009