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

Abstract

We consider a colloidal particle immersed in an active bath and derive a Smoluchowski equation that governs the dynamics of 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 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 a thermal system. The prime 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 mean energy dissipation and mean rate of entropy production.

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• The entropy production of an active particle in a box
• Rapid-Prototyping a Brownian Particle in an Active Bath
• Reconfiguration, swelling and tagged monomer dynamics of a single polymer chain in Gaussian and non-Gaussian active baths
• A Brownian cyclic engine operating in a viscoelastic active suspension
• Dynamics of self-propelled tracer particles inside a polymer network
• Work extraction and performance of colloidal heat engines in viscoelastic baths
• Stochastic resetting and first arrival subjected to Gaussian noise and Poisson white noise
• The Many Faces of Fluctuation-Dissipation Relations Out of Equilibrium