Entropy bound for time reversal markers
We derive a bound for entropy production in terms of the mean of normalizable path-antisymmetric observables. The optimal observable for this bound is shown to be the signum of entropy production, which is often easier determined or estimated than entropy production itself. It can be preserved under...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2024-02-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2023.1331835/full |
| _version_ | 1827364315219361792 |
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| author | Gabriel Knotz Till Moritz Muenker Timo Betz Matthias Krüger |
| author_facet | Gabriel Knotz Till Moritz Muenker Timo Betz Matthias Krüger |
| author_sort | Gabriel Knotz |
| collection | DOAJ |
| description | We derive a bound for entropy production in terms of the mean of normalizable path-antisymmetric observables. The optimal observable for this bound is shown to be the signum of entropy production, which is often easier determined or estimated than entropy production itself. It can be preserved under coarse graining by the use of a simple path grouping algorithm. We demonstrate this relation and its properties using a driven network on a ring, for which the bound saturates for short times for any driving strength. This work can open a way to systematic coarse graining of entropy production. |
| first_indexed | 2024-03-08T08:07:12Z |
| format | Article |
| id | doaj.art-1d42f1e3c7d44b2197708bc3e55917d3 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-03-08T08:07:12Z |
| publishDate | 2024-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-1d42f1e3c7d44b2197708bc3e55917d32024-02-02T10:06:27ZengFrontiers Media S.A.Frontiers in Physics2296-424X2024-02-011110.3389/fphy.2023.13318351331835Entropy bound for time reversal markersGabriel Knotz0Till Moritz Muenker1Timo Betz2Matthias Krüger3Institute for Theoretical Physics, University of Göttingen, Göttingen, GermanyThird Institute of Physics, University of Göttingen, Göttingen, GermanyThird Institute of Physics, University of Göttingen, Göttingen, GermanyInstitute for Theoretical Physics, University of Göttingen, Göttingen, GermanyWe derive a bound for entropy production in terms of the mean of normalizable path-antisymmetric observables. The optimal observable for this bound is shown to be the signum of entropy production, which is often easier determined or estimated than entropy production itself. It can be preserved under coarse graining by the use of a simple path grouping algorithm. We demonstrate this relation and its properties using a driven network on a ring, for which the bound saturates for short times for any driving strength. This work can open a way to systematic coarse graining of entropy production.https://www.frontiersin.org/articles/10.3389/fphy.2023.1331835/fullentropy productionstatistical physicsnon-equilibriumfluctuation theoremscoarse grainingdetailed balance breakage |
| spellingShingle | Gabriel Knotz Till Moritz Muenker Timo Betz Matthias Krüger Entropy bound for time reversal markers Frontiers in Physics entropy production statistical physics non-equilibrium fluctuation theorems coarse graining detailed balance breakage |
| title | Entropy bound for time reversal markers |
| title_full | Entropy bound for time reversal markers |
| title_fullStr | Entropy bound for time reversal markers |
| title_full_unstemmed | Entropy bound for time reversal markers |
| title_short | Entropy bound for time reversal markers |
| title_sort | entropy bound for time reversal markers |
| topic | entropy production statistical physics non-equilibrium fluctuation theorems coarse graining detailed balance breakage |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2023.1331835/full |
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