N-States Continuous Maxwell Demon
Maxwell’s demon is a famous thought experiment and a paradigm of the thermodynamics of information. It is related to Szilard’s engine, a two-state information-to-work conversion device in which the demon performs single measurements and extracts work depending on the state measurement outcome. A var...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/2/321 |
| _version_ | 1797621074544820224 |
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| author | Paul Raux Felix Ritort |
| author_facet | Paul Raux Felix Ritort |
| author_sort | Paul Raux |
| collection | DOAJ |
| description | Maxwell’s demon is a famous thought experiment and a paradigm of the thermodynamics of information. It is related to Szilard’s engine, a two-state information-to-work conversion device in which the demon performs single measurements and extracts work depending on the state measurement outcome. A variant of these models, the continuous Maxwell demon (CMD), was recently introduced by Ribezzi-Crivellari and Ritort where work was extracted after multiple repeated measurements every time that <i>τ</i> is in a two-state system. The CMD was able to extract unbounded amounts of work at the cost of an unbounded amount of information storage. In this work, we built a generalization of the CMD to the N-state case. We obtained generalized analytical expressions for the average work extracted and the information content. We show that the second law inequality for information-to-work conversion is fulfilled. We illustrate the results for N-states with uniform transition rates and for the <i>N</i> = 3 case. |
| first_indexed | 2024-03-11T08:51:31Z |
| format | Article |
| id | doaj.art-173388dbf38b4bd4aa03441508cc0582 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T08:51:31Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-173388dbf38b4bd4aa03441508cc05822023-11-16T20:23:53ZengMDPI AGEntropy1099-43002023-02-0125232110.3390/e25020321N-States Continuous Maxwell DemonPaul Raux0Felix Ritort1Université Paris Cité, CNRS, UMR 8236-LIED, 75013 Paris, FranceSmall Biosystems Lab, Condensed Matter Physics Department, University of Barcelona, 08028 Barcelona, SpainMaxwell’s demon is a famous thought experiment and a paradigm of the thermodynamics of information. It is related to Szilard’s engine, a two-state information-to-work conversion device in which the demon performs single measurements and extracts work depending on the state measurement outcome. A variant of these models, the continuous Maxwell demon (CMD), was recently introduced by Ribezzi-Crivellari and Ritort where work was extracted after multiple repeated measurements every time that <i>τ</i> is in a two-state system. The CMD was able to extract unbounded amounts of work at the cost of an unbounded amount of information storage. In this work, we built a generalization of the CMD to the N-state case. We obtained generalized analytical expressions for the average work extracted and the information content. We show that the second law inequality for information-to-work conversion is fulfilled. We illustrate the results for N-states with uniform transition rates and for the <i>N</i> = 3 case.https://www.mdpi.com/1099-4300/25/2/321Maxwell demoninformation-to-work conversioncorrelated measurements |
| spellingShingle | Paul Raux Felix Ritort N-States Continuous Maxwell Demon Entropy Maxwell demon information-to-work conversion correlated measurements |
| title | N-States Continuous Maxwell Demon |
| title_full | N-States Continuous Maxwell Demon |
| title_fullStr | N-States Continuous Maxwell Demon |
| title_full_unstemmed | N-States Continuous Maxwell Demon |
| title_short | N-States Continuous Maxwell Demon |
| title_sort | n states continuous maxwell demon |
| topic | Maxwell demon information-to-work conversion correlated measurements |
| url | https://www.mdpi.com/1099-4300/25/2/321 |
| work_keys_str_mv | AT paulraux nstatescontinuousmaxwelldemon AT felixritort nstatescontinuousmaxwelldemon |