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arXiv · 2204.07388

Speed limit for a highly irreversible process and tight finite-time Landauer's bound

Jae Sung Lee·Sangyun Lee·Hyukjoon Kwon·Hyunggyu Park
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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.

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Jae Sung Lee, Sangyun Lee, Hyukjoon Kwon, Hyunggyu Park. 2022-04-15. Speed limit for a highly irreversible process and tight finite-time Landauer's bound. https://doi.org/10.1103/physrevlett.129.120603

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