Precision-dissipation trade-off for driven stochastic systems
Statistical Mechanics
2022-09-27 v2
Abstract
In this paper, I derive a closed expression for how precisely a small-scaled system can follow a pre-defined trajectory, while keeping its dissipation below a fixed limit. The total amount of dissipation is approximately inversely proportional to the expected deviation from the pre-defined trajectory. The optimal driving protocol is derived and it is shown that associated time-dependent probability distribution conserves its shape throughout the protocol. Potential applications are discussed in the context of bit erasure and electronic circuits.
Cite
@article{arxiv.2203.00428,
title = {Precision-dissipation trade-off for driven stochastic systems},
author = {Karel Proesmans},
journal= {arXiv preprint arXiv:2203.00428},
year = {2022}
}
Comments
10 pages, 2 figures