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Effects of active fluctuations on energetics of a colloidal particle: Superdiffusion, dissipation and entropy production

Subhasish Chaki and Rajarshi Chakrabarti

Physica A: Statistical Mechanics and its Applications, 2019, vol. 530, issue C

Abstract: We consider a colloidal particle immersed in an active bath and derive a Smoluchowski equation that governs the dynamics of the colloidal particle. We address this as active Smoluchowski equation. Our analysis based on this active Smoluchowski equation shows a short time superdiffusive behavior that strongly depends on the activity. Our model also predicts a non-monotonic dependence of the mean energy dissipation against time, a signature of activity-induced dynamics. By introducing a frequency-dependent effective temperature, we show that the mean rate of entropy production is time-dependent, unlike in a thermal system. The main reason for these anomalies is the absence of any fluctuation–dissipation theorem for the active noise. We also comment on how microscopic details of activity can reverse the trends for the mean energy dissipation and mean rate of entropy production.

Keywords: Active noise; Superdiffusion; Entropy production (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:530:y:2019:i:c:s0378437119309306

DOI: 10.1016/j.physa.2019.121574

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