Analytical study of a flashing molecular pump

José M. Sancho; A. Gomez-Marin

doi:10.1117/12.724644

8 June 2007 Analytical study of a flashing molecular pump

José M. Sancho, A. Gomez-Marin

Proceedings Volume 6602, Noise and Fluctuations in Biological, Biophysical, and Biomedical Systems; 66020B (2007) https://doi.org/10.1117/12.724644
Event: SPIE Fourth International Symposium on Fluctuations and Noise, 2007, Florence, Italy

Abstract

We present a model for a molecular pump of neutral particles which is powered by a flashing ratchet mechanism. This device obeys a Langevin equation with multiplicative noise and it is embedded in a cell membrane bounded by two particle reservoirs. Thus, and unlike typical Brownian motors, the boundary conditions are not periodic nor the normalization condition is imposed. Instead, we study the steady state either at zero or finite flux and derive an exact solution for the density profile of particles. The ratio of concentrations created at both ends of the system and the flux are explored as a function of the parameters of the model.

Citation Download Citation

José M. Sancho and A. Gomez-Marin "Analytical study of a flashing molecular pump", Proc. SPIE 6602, Noise and Fluctuations in Biological, Biophysical, and Biomedical Systems, 66020B (8 June 2007); https://doi.org/10.1117/12.724644

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available