Quantifying entropy production in active fluctuations of the hair-cell bundle from time irreversibility and uncertainty relations
We introduce lower bounds for the rate of entropy production of an active stochastic process by quantifying the irreversibility of stochastic traces obtained from mesoscopic degrees of freedom. Our measures of irreversibility reveal signatures of time’s arrow and provide bounds for entropy productio...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2021-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac0f18 |
| _version_ | 1797750139578744832 |
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| author | Édgar Roldán Jérémie Barral Pascal Martin Juan M R Parrondo Frank Jülicher |
| author_facet | Édgar Roldán Jérémie Barral Pascal Martin Juan M R Parrondo Frank Jülicher |
| author_sort | Édgar Roldán |
| collection | DOAJ |
| description | We introduce lower bounds for the rate of entropy production of an active stochastic process by quantifying the irreversibility of stochastic traces obtained from mesoscopic degrees of freedom. Our measures of irreversibility reveal signatures of time’s arrow and provide bounds for entropy production even in the case of active fluctuations that have no drift. We apply these irreversibility measures to experimental recordings of spontaneous hair-bundle oscillations in mechanosensory hair cells from the ear of the bullfrog. By analyzing the fluctuations of only the tip position of hair bundles, we reveal irreversibility in active oscillations and estimate an associated rate of entropy production of at least ∼3 k _B / s , on average. Applying thermodynamic uncertainty relations, we predict that measuring both the tip position of the hair bundle and the mechano-electrical transduction current that enters the hair cell leads to tighter lower bounds for the rate of entropy production, up to ∼10 ^3 k _B / s in the oscillatory regime. |
| first_indexed | 2024-03-12T16:28:21Z |
| format | Article |
| id | doaj.art-53d61951b30b414685b637e3747afc5e |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:28:21Z |
| publishDate | 2021-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-53d61951b30b414685b637e3747afc5e2023-08-08T15:36:00ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123808301310.1088/1367-2630/ac0f18Quantifying entropy production in active fluctuations of the hair-cell bundle from time irreversibility and uncertainty relationsÉdgar Roldán0https://orcid.org/0000-0001-7196-8404Jérémie Barral1https://orcid.org/0000-0001-9658-7659Pascal Martin2https://orcid.org/0000-0001-6860-4677Juan M R Parrondo3https://orcid.org/0000-0001-8525-3709Frank Jülicher4https://orcid.org/0000-0003-4731-9185ICTP—The Abdus Salam International Centre for Theoretical Physics , Strada Costiera 11, 34151, Trieste, Italy; Max Planck Institute for the Physics of Complex Systems , Nöthnitzer Str. 38, 01187 Dresden, GermanyLaboratoire Physico-Chimie Curie, Institut Curie, Université PSL, Sorbonne Université CNRS UMR168, F-75248 Paris, FranceLaboratoire Physico-Chimie Curie, Institut Curie, Université PSL, Sorbonne Université CNRS UMR168, F-75248 Paris, FranceDepartamento de Estructura de la Materia, Física Termica y Electronica and GISC, Universidad Complutense de Madrid , 28040 Madrid, SpainMax Planck Institute for the Physics of Complex Systems , Nöthnitzer Str. 38, 01187 Dresden, Germany; Cluster of Excellence, Physics of Life, TU Dresden , Dresden 01307, GermanyWe introduce lower bounds for the rate of entropy production of an active stochastic process by quantifying the irreversibility of stochastic traces obtained from mesoscopic degrees of freedom. Our measures of irreversibility reveal signatures of time’s arrow and provide bounds for entropy production even in the case of active fluctuations that have no drift. We apply these irreversibility measures to experimental recordings of spontaneous hair-bundle oscillations in mechanosensory hair cells from the ear of the bullfrog. By analyzing the fluctuations of only the tip position of hair bundles, we reveal irreversibility in active oscillations and estimate an associated rate of entropy production of at least ∼3 k _B / s , on average. Applying thermodynamic uncertainty relations, we predict that measuring both the tip position of the hair bundle and the mechano-electrical transduction current that enters the hair cell leads to tighter lower bounds for the rate of entropy production, up to ∼10 ^3 k _B / s in the oscillatory regime.https://doi.org/10.1088/1367-2630/ac0f18entropy productionuncertainty relationshair-cell bundleirreversibilityactive matter |
| spellingShingle | Édgar Roldán Jérémie Barral Pascal Martin Juan M R Parrondo Frank Jülicher Quantifying entropy production in active fluctuations of the hair-cell bundle from time irreversibility and uncertainty relations New Journal of Physics entropy production uncertainty relations hair-cell bundle irreversibility active matter |
| title | Quantifying entropy production in active fluctuations of the hair-cell bundle from time irreversibility and uncertainty relations |
| title_full | Quantifying entropy production in active fluctuations of the hair-cell bundle from time irreversibility and uncertainty relations |
| title_fullStr | Quantifying entropy production in active fluctuations of the hair-cell bundle from time irreversibility and uncertainty relations |
| title_full_unstemmed | Quantifying entropy production in active fluctuations of the hair-cell bundle from time irreversibility and uncertainty relations |
| title_short | Quantifying entropy production in active fluctuations of the hair-cell bundle from time irreversibility and uncertainty relations |
| title_sort | quantifying entropy production in active fluctuations of the hair cell bundle from time irreversibility and uncertainty relations |
| topic | entropy production uncertainty relations hair-cell bundle irreversibility active matter |
| url | https://doi.org/10.1088/1367-2630/ac0f18 |
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