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Optimal energy conversion through antiadiabatic driving breaking time-reversal symmetry

L. M. Cangemi, M. Carrega, A. De Candia, V. Cataudella, G. De Filippis, M. Sassetti, G. Benenti

2021Physical Review Research21 citationsDOIOpen Access PDF

Abstract

Starting with the Carnot engine, the ideal efficiency of a heat engine has been associated with quasistatic transformations and vanishingly small output power. Here, we exactly calculate the thermodynamic properties of an isothermal heat engine, in which the working medium is a periodically driven underdamped harmonic oscillator, focusing instead on the opposite, antiadiabatic limit, where the period of a cycle is much shorter than the system's timescales. We show that in that limit it is possible to approach the ideal energy conversion efficiency = 1, with finite output power and vanishingly small relative power fluctuations. The simultaneous realization of all the three desiderata of a heat engine is possible thanks to the breaking of time-reversal symmetry. We also show that non-Markovian dynamics can further improve the power-efficiency trade-off.

Topics & Concepts

Carnot cycleHeat enginePhysicsQuasistatic processEnergy transformationIdeal (ethics)Work (physics)Realization (probability)Energy conversion efficiencyPower (physics)Energy (signal processing)Harmonic oscillatorIdeal gasClassical mechanicsThermodynamic cycleLimit (mathematics)Control theory (sociology)HarmonicMechanicsIsothermal processMaximum power principleSymmetry (geometry)Energy conservationConservation of energyHeat transferThermal efficiencyIsentropic processRotational symmetryEvaporative coolerContinuationHeat exchangerBrayton cycleStirling engineThermodynamicsInternal energyThermal conductionEfficient energy useElectricity generationAdvanced Thermodynamics and Statistical Mechanicsstochastic dynamics and bifurcationMechanical and Optical Resonators
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