IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v566y2021ics0378437120309079.html
   My bibliography  Save this article

Work fluctuations in a generalized Gaussian active bath

Author

Listed:
  • Goswami, Koushik

Abstract

We theoretically investigate the dynamics and work distribution of a Brownian particle in a Gaussian active bath. By modeling the active noise as a generalized form of Ornstein–Uhlenbeck process (OUP), we show that the dynamics approaches asymptotically to a superdiffusive regime. Two protocols are considered to perform work on the system, and exact expressions for the probability distribution function (PDF) of work are obtained. Further, we show, by employing the large deviation principle (LDP), that the PDF follows an anomalous scaling with time, in contrast to the normal LDP. Then, fluctuation relations (FR) of work are studied to find that the transient FR does not exist, but a non-conventional FR emerges in the long-time limit. Also, the known results for the usual OUP bath are recovered.

Suggested Citation

  • Goswami, Koushik, 2021. "Work fluctuations in a generalized Gaussian active bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    • Handle: RePEc:eee:phsmap:v:566:y:2021:i:c:s0378437120309079
    DOI: 10.1016/j.physa.2020.125609
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437120309079
    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.2020.125609?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. 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.
    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. Despósito, Marcelo A. & Pallavicini, Carla & Levi, Valeria & Bruno, Luciana, 2011. "Active transport in complex media: Relationship between persistence and superdiffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(6), pages 1026-1032.
    4. 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.
    5. Touchette, Hugo, 2018. "Introduction to dynamical large deviations of Markov processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 504(C), pages 5-19.
    6. H. J. Haubold & A. M. Mathai & R. K. Saxena, 2011. "Mittag-Leffler Functions and Their Applications," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-51, May.
    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. 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).

    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. 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).
    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. Edgardo Alvarez & Carlos Lizama, 2020. "The Super-Diffusive Singular Perturbation Problem," Mathematics, MDPI, vol. 8(3), pages 1-14, March.
    4. Angstmann, C.N. & Henry, B.I. & Jacobs, B.A. & McGann, A.V., 2017. "A time-fractional generalised advection equation from a stochastic process," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 175-183.
    5. Soma Dhar & Lipi B. Mahanta & Kishore Kumar Das, 2019. "Formulation Of The Simple Markovian Model Using Fractional Calculus Approach And Its Application To Analysis Of Queue Behaviour Of Severe Patients," Statistics in Transition New Series, Polish Statistical Association, vol. 20(1), pages 117-129, March.
    6. Saif Eddin Jabari & Nikolaos M. Freris & Deepthi Mary Dilip, 2020. "Sparse Travel Time Estimation from Streaming Data," Transportation Science, INFORMS, vol. 54(1), pages 1-20, January.
    7. Katarzyna Górska & Andrzej Horzela, 2021. "Non-Debye Relaxations: Two Types of Memories and Their Stieltjes Character," Mathematics, MDPI, vol. 9(5), pages 1-13, February.
    8. David T. Limmer & Chloe Y. Gao & Anthony R. Poggioli, 2021. "A large deviation theory perspective on nanoscale transport phenomena," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(7), pages 1-16, July.
    9. Zaheer Masood & Muhammad Asif Zahoor Raja & Naveed Ishtiaq Chaudhary & Khalid Mehmood Cheema & Ahmad H. Milyani, 2021. "Fractional Dynamics of Stuxnet Virus Propagation in Industrial Control Systems," Mathematics, MDPI, vol. 9(17), pages 1-27, September.
    10. Virginia Kiryakova, 2021. "A Guide to Special Functions in Fractional Calculus," Mathematics, MDPI, vol. 9(1), pages 1-40, January.
    11. Murat A. Sultanov & Durdimurod K. Durdiev & Askar A. Rahmonov, 2021. "Construction of an Explicit Solution of a Time-Fractional Multidimensional Differential Equation," Mathematics, MDPI, vol. 9(17), pages 1-12, August.
    12. Vieira, N. & Ferreira, M. & Rodrigues, M.M., 2022. "Time-fractional telegraph equation with ψ-Hilfer derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    13. Iomin, A. & Zaburdaev, V. & Pfohl, T., 2016. "Reaction front propagation of actin polymerization in a comb-reaction system," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 115-122.
    14. Sánchez, Ewin, 2019. "Burr type-XII as a superstatistical stationary distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 443-446.
    15. Serkan Araci & Gauhar Rahman & Abdul Ghaffar & Azeema & Kottakkaran Sooppy Nisar, 2019. "Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution," Mathematics, MDPI, vol. 7(3), pages 1-14, March.
    16. Charles K. Amponsah & Tomasz J. Kozubowski & Anna K. Panorska, 2021. "A general stochastic model for bivariate episodes driven by a gamma sequence," Journal of Statistical Distributions and Applications, Springer, vol. 8(1), pages 1-31, December.
    17. Iomin, A., 2016. "Quantum continuous time random walk in nonlinear Schrödinger equation with disorder," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 64-70.
    18. Najma Ahmed & Nehad Ali Shah & Farman Ali & Dumitru Vieru & F.D. Zaman, 2021. "Analytical Solutions of the Fractional Mathematical Model for the Concentration of Tumor Cells for Constant Killing Rate," Mathematics, MDPI, vol. 9(10), pages 1-14, May.
    19. Smith, Naftali R., 2024. "Anomalous scalings of fluctuations of the area swept by a Brownian particle trapped in a |x| potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 650(C).
    20. Hainaut, Donatien, 2021. "Lévy interest rate models with a long memory," LIDAM Discussion Papers ISBA 2021020, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

    More about this item

    Statistics

    Access and download statistics

    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:566:y:2021:i:c:s0378437120309079. 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.