Underdamped Active Brownian Heat Engine

Abstract

Active Brownian engines rectify energy from reservoirs composed of self-propelling non-equilibrium molecules into work. We consider a class of such engines based on an underdamped Brownian particle trapped in a power-law potential. The energy they transform has thermodynamic properties of heat only if the non-equilibrium reservoir can be assigned a suitable effective temperature consistent with the second law and thus yielding an upper bound on the engine efficiency. The effective temperature exists if the total force exerted on the particle by the bath is not correlated with the particle position. In general, this occurs if the noise autocorrelation function and the friction kernel are proportional as in the fluctuation-dissipation theorem. But even if the proportionality is broken, the effective temperature can be defined in restricted, fine-tuned, parameter regimes, as we demonstrate on a specific example with harmonic potential.

6 pages, 3 figures, Accepted Phys. Rev. E (Rapid Communications) (2020)

References in corpus (9)

• Motility-Induced Phase Separation
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
• Generalized energy equipartition in harmonic oscillators driven by active baths
• Emergent oscillations assist obstacle negotiation during ant cooperative transport
• Adiabatic processes realized with a trapped Brownian particle
• Single Particle Stochastic Heat Engine
• Exactly solvable model of stochastic heat engine: Optimization of power, its fluctuations and efficiency

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