Next Article in Journal
Correction: Chen, W.; Huang, S.P. Evaluating Flight Crew Performance by a Bayesian Network Model. Entropy 2018, 20, 178
Previous Article in Journal
Complexity and Entropy Analysis of a Multi-Channel Supply Chain Considering Channel Cooperation and Service
Open AccessArticle

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
Entropy 2018, 20(12), 971; https://doi.org/10.3390/e20120971
Received: 14 October 2018 / Revised: 3 December 2018 / Accepted: 12 December 2018 / Published: 14 December 2018
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
Show Figures

Figure 1

MDPI and ACS Style

Kycia, R.A. Landauer’s Principle as a Special Case of Galois Connection. Entropy 2018, 20, 971.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop