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