No-pumping theorem for many particle stochastic pumps
Statistical Mechanics
2014-07-29 v1
Abstract
Stochastic pumps are models of artificial molecular machines which are driven by periodic time variation of parameters, such as site and barrier energies. The no-pumping theorem states that no directed motion is generated by variation of only site or barrier energies [S. Rahav, J. Horowitz, and C. Jarzynski, Phys. Rev. Lett., 101, 140602 (2008)]. We study stochastic pumps of several interacting particles and demonstrate that the net current of particles satisfy an additional no- pumping theorem.
Cite
@article{arxiv.1312.6852,
title = {No-pumping theorem for many particle stochastic pumps},
author = {Shahaf Asban and Saar Rahav},
journal= {arXiv preprint arXiv:1312.6852},
year = {2014}
}