Speed limit for a highly irreversible process and tight finite-time Landauer's bound
Abstract
Landauer's bound is the minimum thermodynamic cost for erasing one bit of information. As this bound is achievable only for quasistatic processes, finite-time operation incurs additional energetic costs. We find a tight finite-time Landauer's bound by establishing a general form of the classical speed limit. This tight bound well captures the divergent behavior associated with the additional cost of a highly irreversible process, which scales differently from a nearly irreversible process. We also find an optimal dynamics which saturates the equality of the bound. We demonstrate the validity of this bound via discrete one-bit and coarse-grained bit systems. Our work implies that more heat dissipation than expected occurs during high-speed irreversible computation.
Keywords
Cite
@article{arxiv.2204.07388,
title = {Speed limit for a highly irreversible process and tight finite-time Landauer's bound},
author = {Jae Sung Lee and Sangyun Lee and Hyukjoon Kwon and Hyunggyu Park},
journal= {arXiv preprint arXiv:2204.07388},
year = {2022}
}