IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v609y2023ics0378437122009001.html
   My bibliography  Save this article

A Brownian cyclic engine operating in a viscoelastic active suspension

Author

Listed:
  • Guevara-Valadez, Carlos Antonio
  • Marathe, Rahul
  • Gomez-Solano, Juan Ruben

Abstract

We investigate a model for a Stirling-like engine consisting of a passive Brownian particle confined by a harmonic potential and interacting with a suspension of active Brownian particles that self-propel in a viscous solvent, which cyclically operates under isothermal conditions by means of temporal variations of the trap stiffness and the self-propulsion speed of the active particles. We derive an effective stochastic equation of motion of the trapped Brownian particle, which includes a friction memory kernel as well as thermal and active fluctuating forces due to its coupling with the active suspension, from which we analytically compute the efficiency of the engine in the quasi-static limit. We find that, on average, the engine is capable to produce mechanical work with an efficiency that depends on the interplay between the different time scales of the system, where the general effect of the ensuing viscoelasticity of the active suspension is to reduce the quasi-static efficiency of the Brownian engine, as compared to the case of a system with instantaneous friction. Nevertheless, there are regions in the parameters space of the system where such memory effects are negligible in the performance of the engine, thus effectively behaving as in contact with an inert viscous bath working at two different temperatures related to the propulsion speed of the active particles.

Suggested Citation

  • Guevara-Valadez, Carlos Antonio & Marathe, Rahul & Gomez-Solano, Juan Ruben, 2023. "A Brownian cyclic engine operating in a viscoelastic active suspension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    • Handle: RePEc:eee:phsmap:v:609:y:2023:i:c:s0378437122009001
    DOI: 10.1016/j.physa.2022.128342
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122009001
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.128342?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jochen Arlt & Vincent A. Martinez & Angela Dawson & Teuta Pilizota & Wilson C. K. Poon, 2018. "Painting with light-powered bacteria," Nature Communications, Nature, vol. 9(1), pages 1-7, December.
    2. Chaki, Subhasish & Chakrabarti, Rajarshi, 2019. "Effects of active fluctuations on energetics of a colloidal particle: Superdiffusion, dissipation and entropy production," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 530(C).
    3. Goswami, Koushik, 2021. "Work fluctuations in a generalized Gaussian active bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    4. Hanumantha Rao Vutukuri & Maciej Lisicki & Eric Lauga & Jan Vermant, 2020. "Light-switchable propulsion of active particles with reversible interactions," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    5. Pedro A. Quinto-Su, 2014. "A microscopic steam engine implemented in an optical tweezer," Nature Communications, Nature, vol. 5(1), pages 1-7, December.
    6. Niloyendu Roy & Nathan Leroux & A. K. Sood & Rajesh Ganapathy, 2021. "Tuning the performance of a micrometer-sized Stirling engine through reservoir engineering," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    7. A. Militaru & M. Innerbichler & M. Frimmer & F. Tebbenjohanns & L. Novotny & C. Dellago, 2021. "Escape dynamics of active particles in multistable potentials," Nature Communications, Nature, vol. 12(1), pages 1-6, December.
    8. Rana, Shubhashis & Pal, P.S. & Saha, Arnab & Jayannavar, A.M., 2016. "Anomalous Brownian refrigerator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 783-798.
    9. Chaki, Subhasish & Chakrabarti, Rajarshi, 2018. "Entropy production and work fluctuation relations for a single particle in active bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 302-315.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Goswami, Koushik, 2021. "Work fluctuations in a generalized Gaussian active bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    2. Korkmazhan, Elgin, 2020. "Fluctuation relations for non-Markovian and heterogeneous temperature systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    3. Biswas, D.B. & Bose, S. & Dalvi, V.H. & Deshmukh, S.P. & Shenoy, N.V. & Panse, S.V. & Joshi, J.B., 2020. "A techno-economic comparison between piston steam engines as dispatchable power generation systems for renewable energy with concentrated solar harvesting and thermal storage against solar photovoltai," Energy, Elsevier, vol. 213(C).
    4. Sudeesh Krishnamurthy & Rajesh Ganapathy & A. K. Sood, 2023. "Overcoming power-efficiency tradeoff in a micro heat engine by engineered system-bath interactions," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    5. Alberto Dinelli & Jérémy O’Byrne & Agnese Curatolo & Yongfeng Zhao & Peter Sollich & Julien Tailleur, 2023. "Non-reciprocity across scales in active mixtures," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    6. Goswami, Koushik, 2019. "Work fluctuation relations for a dragged Brownian particle in active bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 223-233.
    7. Helena Massana-Cid & Claudio Maggi & Giacomo Frangipane & Roberto Di Leonardo, 2022. "Rectification and confinement of photokinetic bacteria in an optical feedback loop," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    8. Nicola Pellicciotta & Matteo Paoluzzi & Dario Buonomo & Giacomo Frangipane & Luca Angelani & Roberto Di Leonardo, 2023. "Colloidal transport by light induced gradients of active pressure," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    9. Antoine Aubret & Quentin Martinet & Jeremie Palacci, 2021. "Metamachines of pluripotent colloids," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    10. Jakub Janiak & Yuyang Li & Yann Ferry & Alexander A. Doinikov & Daniel Ahmed, 2023. "Acoustic microbubble propulsion, train-like assembly and cargo transport," Nature Communications, Nature, vol. 14(1), pages 1-10, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:609:y:2023:i:c:s0378437122009001. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.