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Work fluctuations in a generalized Gaussian active bath

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  • 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
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    References listed on IDEAS

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    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.
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    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).

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