English

Feedback Control of Waiting Times

Mesoscale and Nanoscale Physics 2016-04-13 v2 Statistical Mechanics

Abstract

Feedback loops are known as a versatile tool for controlling transport in small systems, which usually have large intrinsic fluctuations. Here we investigate the control of a temporal correlation function, the waiting time distribution, under active and passive feedback conditions. We develop a general formalism and then specify to the simple unidirectional transport model, where we compare costs of open loop and feedback control and use methods from optimal control theory to optimize waiting time distributions.

Keywords

Cite

@article{arxiv.1602.02975,
  title  = {Feedback Control of Waiting Times},
  author = {Tobias Brandes and Clive Emary},
  journal= {arXiv preprint arXiv:1602.02975},
  year   = {2016}
}

Comments

15 pages, 6 figures. Minor corrections, new Fig 5a, additional reference. Accepted for publication in Phys. Rev. E