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

Subhasish Chaki and Rajarshi Chakrabarti

Physica A: Statistical Mechanics and its Applications, 2018, vol. 511, issue C, 302-315

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.

Keywords: Fluctuation theorem; Active matter; Brownian motion (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:511:y:2018:i:c:p:302-315

DOI: 10.1016/j.physa.2018.07.055

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