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. 2023 Jan 17;13:869. doi: 10.1038/s41598-023-27736-8

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© The Author(s) 2023

Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Graphical representation of the accuracy of Crooks’ fluctuation theorem for several pairs of parameters $(b, β)$ , which we measure through $d_{b, β}$ as explained in Sect. A.3.5. The color intensity grows monotonically with the distance $d_{b, β}$ and is divided into six regions, namely, $d_{b, β} \leq 1$ , $1 < d_{b, β} \leq 3$ , $3 < d_{b, β} \leq 6$ , $6 < d_{b, β} \leq 11$ , $11 < d_{b, β} \leq 23$ and $23 < d_{b, β}$ . The actual values of $d_{b, β}$ can be found in Table 2.