IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v525y2019icp223-233.html
   My bibliography  Save this article

Work fluctuation relations for a dragged Brownian particle in active bath

Author

Listed:
  • Goswami, Koushik

Abstract

We study the work distribution of a Brownian particle diffusing in an environment of active particles and being trapped in a harmonic potential, the center of which is subjected to a time-dependent protocol. Employing phase space path integral technique we find an expression of work distribution for any generic model of active noise. Here we consider two active noise models — Gaussian correlated and Poisson white, each of which can represent some physical systems. For both the cases, it is found that transient fluctuation relation of work is not applicable though at steady state it holds by defining a renormalized temperature τr in place of bath temperature. Interestingly, τr is the same for both the models and can be expressed in terms of diffusivities of active and thermal noises. For correlated Gaussian bath, an alternative approach is presented. Analogous to the formalism given by Hatano and Sasa (2001), we obtain a work like quantity from nonequilibrium potential with the inclusion of a new stationary parameter Ω. With proper choice of Ω, a steady-state fluctuation relation, namely Jarzynski equality is satisfied.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:223-233
    DOI: 10.1016/j.physa.2019.03.050
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119302857
    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.2019.03.050?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. Sho C. Takatori & Raf De Dier & Jan Vermant & John F. Brady, 2016. "Acoustic trapping of active matter," Nature Communications, Nature, vol. 7(1), pages 1-7, April.
    2. Beck, C. & Cohen, E.G.D., 2004. "Superstatistical generalization of the work fluctuation theorem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 393-402.
    3. D. Collin & F. Ritort & C. Jarzynski & S. B. Smith & I. Tinoco & C. Bustamante, 2005. "Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies," Nature, Nature, vol. 437(7056), pages 231-234, September.
    4. Tim Sanchez & Daniel T. N. Chen & Stephen J. DeCamp & Michael Heymann & Zvonimir Dogic, 2012. "Spontaneous motion in hierarchically assembled active matter," Nature, Nature, vol. 491(7424), pages 431-434, November.
    5. 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)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Goswami, Koushik, 2021. "Work fluctuations in a generalized Gaussian active bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).

    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. Gravanis, E. & Akylas, E., 2021. "Blackbody radiation, kappa distribution and superstatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    2. Goswami, Koushik, 2021. "Work fluctuations in a generalized Gaussian active bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    3. Salgado-García, R., 2022. "Active particles in reactive disordered media: How does adsorption affect diffusion?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    4. Antonio Lamura & Adriano Tiribocchi, 2021. "Shearing Effects on the Phase Coarsening of Binary Mixtures Using the Active Model B," Mathematics, MDPI, vol. 9(23), pages 1-13, November.
    5. López-Alamilla, N.J. & Challis, K.J. & Deaker, A.G. & Jack, M.W., 2023. "The effect of futile chemical cycles on chemical-to-mechanical energy conversion in interacting motor protein systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    6. Su, Yan, 2024. "A mesoscale non-dimensional lattice Boltzmann model for self-sustained structures of swimming microbial suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 642(C).
    7. 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).
    8. Jiménez-Aquino, J.I. & Sánchez-Salas, N., 2018. "Thermodynamic work statistics for Ornstein–Uhlenbeck-type heat baths," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 12-19.
    9. Yuan Shen & Ingo Dierking, 2022. "Electrically tunable collective motion of dissipative solitons in chiral nematic films," Nature Communications, Nature, vol. 13(1), pages 1-12, December.
    10. Lubashevsky, Ihor & Friedrich, Rudolf & Heuer, Andreas & Ushakov, Andrey, 2009. "Generalized superstatistics of nonequilibrium Markovian systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4535-4550.
    11. Nishkantha Arulkumaran & Mervyn Singer & Stefan Howorka & Jonathan R. Burns, 2023. "Creating complex protocells and prototissues using simple DNA building blocks," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    12. Bibi Najma & Minu Varghese & Lev Tsidilkovski & Linnea Lemma & Aparna Baskaran & Guillaume Duclos, 2022. "Competing instabilities reveal how to rationally design and control active crosslinked gels," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    13. Korkmazhan, Elgin, 2020. "Fluctuation relations for non-Markovian and heterogeneous temperature systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    14. Tom Brandstätter & David B. Brückner & Yu Long Han & Ricard Alert & Ming Guo & Chase P. Broedersz, 2023. "Curvature induces active velocity waves in rotating spherical tissues," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    15. Mallikarjun, Rahul & Pal, Arnab, 2023. "Chiral run-and-tumble walker: Transport and optimizing search," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    16. Bo Zhang & Andreas Glatz & Igor S. Aranson & Alexey Snezhko, 2023. "Spontaneous shock waves in pulse-stimulated flocks of Quincke rollers," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    17. 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.
    18. Jerôme Hardoüin & Claire Doré & Justine Laurent & Teresa Lopez-Leon & Jordi Ignés-Mullol & Francesc Sagués, 2022. "Active boundary layers in confined active nematics," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    19. Teagan E. Bate & Megan E. Varney & Ezra H. Taylor & Joshua H. Dickie & Chih-Che Chueh & Michael M. Norton & Kun-Ta Wu, 2022. "Self-mixing in microtubule-kinesin active fluid from nonuniform to uniform distribution of activity," Nature Communications, Nature, vol. 13(1), pages 1-14, December.
    20. A. Tiribocchi & M. Durve & M. Lauricella & A. Montessori & D. Marenduzzo & S. Succi, 2023. "The crucial role of adhesion in the transmigration of active droplets through interstitial orifices," Nature Communications, Nature, vol. 14(1), pages 1-12, 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:525:y:2019:i:c:p:223-233. 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.