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Entropy production and work fluctuation relations for a single particle in active bath

Author

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  • Chaki, Subhasish
  • Chakrabarti, Rajarshi

Abstract

A colloidal particle immersed in a bath of bacteria is a typical example of a passive particle in an active bath. To model this, we take an overdamped harmonically trapped particle subjected to a thermal and a non-equilibrium noise arising from the active bath. The harmonic well can be attributed to a laser trap or to the small amplitude motion of the sedimented colloid at the bottom of the capillary. In the long time, the system reaches a non-equilibrium steady state that can be described by an effective temperature. Here we investigate whether fluctuation relations for entropy hold in the presence of Gaussian active noise. In addition, when subjected to a deterministic time dependent drag, we find that transient fluctuation theorem for work cannot be applied in conventional form. However, a steady state fluctuation relation for work emerges out with a renormalized temperature.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:511:y:2018:i:c:p:302-315
    DOI: 10.1016/j.physa.2018.07.055
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    Citations

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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).
    2. Goswami, Koushik, 2021. "Work fluctuations in a generalized Gaussian active bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    3. 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.
    4. Korkmazhan, Elgin, 2020. "Fluctuation relations for non-Markovian and heterogeneous temperature systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

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