<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

Online veröffentlicht: 28. Dez. 2020

Seitenbereich: -

Eingereicht: 13. Okt. 2020

Akzeptiert: 18. Nov. 2020

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

Schlüsselwörter
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

Online veröffentlicht: 28. Dez. 2020

Seitenbereich: -

Eingereicht: 13. Okt. 2020

Akzeptiert: 18. Nov. 2020

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

SchlüsselwörterLandauer’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.

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