| Issue |
EPL
Volume 108, Number 5, December 2014
|
|
|---|---|---|
| Article Number | 50001 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/108/50001 | |
| Published online | 20 November 2014 | |
Unification and new extensions of the no-pumping theorems of stochastic pumps
Helen Wills Neuroscience Institute, University of California - Berkeley, CA 94720, USA
Received: 15 October 2014
Accepted: 8 November 2014
From molecular machines to quantum dots, a wide range of mesoscopic systems can be modeled by periodically driven Markov processes, or stochastic pumps. Currents in the stochastic pumps are delimited by an exact no-go condition called the no-pumping theorem (NPT). This letter presents a unified treatment of all the adaptations of NPT known so far, and further extends it to systems with many species of interacting particles.
PACS: 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 82.20.-w – Chemical kinetics and dynamics / 05.60.-k – Transport processes
© EPLA, 2014
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