Landauer’s principle as a special case of Galois connection
Authors:
- Radosław Kycia
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.
- Record ID
- CUT855456dd52d14f229398de2e7e36b7dc
- Publication categories
- ;
- Author
- Journal series
- Entropy, ISSN , e-ISSN 1099-4300, Monthly
- Issue year
- 2018
- Vol
- 20
- No
- 12
- Pages
- [1-17]
- Other elements of collation
- rys.; tab.; Bibliografia (na s.) - 16-17; Bibliografia (liczba pozycji) - 37; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 20, Iss. 12
- Keywords in English
- Landauer’s principle, entropy, Galois connection, the second law of thermodynamics
- DOI
- DOI:10.3390/e20120971 Opening in a new tab
- URL
- https://www.mdpi.com/1099-4300/20/12/971/htm Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 30
- Publication indicators
- = 6
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT855456dd52d14f229398de2e7e36b7dc/
- URN
urn:pkr-prod:CUT855456dd52d14f229398de2e7e36b7dc
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.