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Landauer's Principle as a Special Case of Galois Connection

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KYCIA Radoslaw Antoni

Rok publikování 2018
Druh Článek v odborném periodiku
Časopis / Zdroj Entropy
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://www.mdpi.com/1099-4300/20/12/971
Doi http://dx.doi.org/10.3390/e20120971
Klíčová slova Landauer's principle; entropy; Galois connection; the second law of thermodynamics
Popis 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.
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