A mathematical investigation of Landauer’s principle

Authors

Paul Bracken, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

2-20-2023

Abstract

A minimal mathematical approach is used to state Landauer’s principle in a precise, general way. The results are obtained by means of a rigorous development which is based on the use of quantum statistical mechanics. A mathematical form of the principle results as an equality rather than an inequality. The equality version does imply the original statement of the principle as introduced by Landauer.

Comments

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s10910-023-01463-x

https://rdcu.be/ddsou

Recommended Citation

Bracken, P. A mathematical investigation of Landauer’s principle. J Math Chem 61, 1292–1300 (2023). https://doi.org/10.1007/s10910-023-01463-x

Publication Title

Journal of Mathematical Chemistry

DOI

https://doi.org/10.1007/s10910-023-01463-x