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Entropy 2018, 20(12), 971; https://doi.org/10.3390/e20120971

Landauer’s Principle as a Special Case of Galois Connection

1
Department of Mathematics and Statistics, Masaryk Univeristy, Kotlářská 267/2, 611 37 Brno, Czech Republic
2
Mathematics and Computer Science, Faculty of Physics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland
Received: 14 October 2018 / Revised: 3 December 2018 / Accepted: 12 December 2018 / Published: 14 December 2018
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Abstract

It is demonstrated how to construct a Galois connection between two related systems with entropy. The construction, called the Landauer’s connection, describes coupling between two systems with entropy. It is straightforward and transfers changes in one system to the other one, preserving ordering structure induced by entropy. The Landauer’s connection simplifies the description of the classical Landauer’s principle for computational systems. Categorification and generalization of the Landauer’s principle opens the area of modeling of various systems in presence of entropy in abstract terms. View Full-Text
Keywords: Landauer’s principle; entropy; Galois connection; the second law of thermodynamics Landauer’s principle; entropy; Galois connection; the second law of thermodynamics
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Kycia, R.A. Landauer’s Principle as a Special Case of Galois Connection. Entropy 2018, 20, 971.

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