Landauer's Principle as a Special Case of Galois Connection

KYCIA, Radoslaw Antoni. Landauer's Principle as a Special Case of Galois Connection. Entropy. BASEL: MDPI, 2018, vol. 20, No 12, p. 971-987. ISSN 1099-4300. Available from: https://dx.doi.org/10.3390/e20120971.

Basic information

• Original name: Landauer's Principle as a Special Case of Galois Connection
• Authors: KYCIA, Radoslaw Antoni (616 Poland, guarantor, belonging to the institution).
• Edition: Entropy, BASEL, MDPI, 2018, 1099-4300.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10102 Applied mathematics
• Country of publisher: Switzerland
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 2.419
• RIV identification code: RIV/00216224:14310/18:00101695
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.3390/e20120971
• UT WoS: 000454282000079
• Keywords in English: Landauer's principle; entropy; Galois connection; the second law of thermodynamics
• Tags: International impact, Reviewed

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.

Links

• GA17-19437S, research and development project: Name: Klasifikační problémy pro reálné nadplochy v komplexním prostoru

Investor: Czech Science Foundation

• MUNI/A/1138/2017, interní kód MU: Name: Matematické struktury 7 (Acronym: Matematické struktury 7)

Investor: Masaryk University, Category A