Driven Brownian particle as a paradigm for a nonequilibrium heat bath: Effective temperature and cyclic work extraction

Abstract

We apply the concept of a frequency-dependent effective temperature based on the fluctuation-dissipation ratio to a driven Brownian particle in a nonequilibrium steady state. Using this system as a thermostat for a weakly coupled harmonic oscillator, the oscillator thermalizes according to a canonical distribution at the respective effective temperature across the entire frequency spectrum. By turning the oscillator from a passive "thermometer" into a heat engine, we realize the cyclic extraction of work from a single thermal reservoir, which is feasible only due to its nonequilibrium nature.

Phys. Rev. E (RC), in press

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• Entropy production and work fluctuation relations for a single particle in active bath
• Effective temperatures in inhomogeneous passive and active bidimensional Brownian particle systems
• Extracting maximum power from active colloidal heat engines
• Work extraction and performance of colloidal heat engines in viscoelastic baths
• Solution to the Fokker-Planck equation for slowly driven Brownian motion: Emergent geometry and a formula for the corresponding thermodynamic metric
• The effective temperature for the thermal fluctuations in hot Brownian motion
• Quantum heat engine in the optomechanical system with mechanical parametric drive
• Quantum Rotor Engines