<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We discuss, using recent results on the thermodynamics of multivalued logic, the difficulties and pitfalls of how to apply the Landauer’s principle to thermodynamic computer memory models. The presentation is based on Szilard’s version of Maxwell’s demon experiment and use of equilibrium Thermodynamics. Different versions of thermodynamic/mechanical memory are presented – a one-hot encoding version and an implementation based on a reversed Szilard’s experiment. The relationship of the Landauer’s principle to the Galois connection is explained in detail.</p></abstract>

We discuss, using recent results on the thermodynamics of multivalued logic, the difficulties and pitfalls of how to apply the Landauer’s principle to thermodynamic computer memory models. The presentation is based on Szilard’s version of Maxwell’s demon experiment and use of equilibrium Thermodynamics. Different versions of thermodynamic/mechanical memory are presented – a one-hot encoding version and an implementation based on a reversed Szilard’s experiment. The relationship of the Landauer’s principle to the Galois connection is explained in detail.

An Explanation of the Landauer bound and its ineffectiveness with regard to multivalued logic

Faculty of Mathematics and Computer Science

Technical Transactions

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

We discuss, using recent results on the thermodynamics of multivalued logic, the difficulties and pitfalls of how to apply the Landauer’s principle to...

An Explanation of the Landauer bound and its ineffectiveness with regard to multivalued logic

Published Online: Dec 28, 2020

Page range: -

Received: Oct 13, 2020

Accepted: Nov 18, 2020

DOI: https://doi.org/10.37705/TechTrans/e2020042

Keywords
Landauer’s principle, entropy, multivalued logic, encoding, the second law of thermodynamics, thermodynamic memory implementation, Galois connection

© 2020 Radosław A. Kycia et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

An Explanation of the Landauer bound and its ineffectiveness with regard to multivalued logic

Published Online: Dec 28, 2020

Page range: -

Received: Oct 13, 2020

Accepted: Nov 18, 2020

DOI: https://doi.org/10.37705/TechTrans/e2020042

KeywordsLandauer’s principle, entropy, multivalued logic, encoding, the second law of thermodynamics, thermodynamic memory implementation, Galois connection

© 2020 Radosław A. Kycia et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Keywords
Landauer’s principle, entropy, multivalued logic, encoding, the second law of thermodynamics, thermodynamic memory implementation, Galois connection