# Underdamped stochastic heat engine at maximum efficiency

@article{Dechant2016UnderdampedSH, title={Underdamped stochastic heat engine at maximum efficiency}, author={Andreas Dechant and Nikolai Kiesel and Eric Lutz}, journal={arXiv: Statistical Mechanics}, year={2016} }

We investigate the performance of an underdamped stochastic heat engine for a time-dependent harmonic oscillator. We analytically determine the optimal protocol that maximizes the efficiency at fixed power. The maximum efficiency reduces to the Curzon-Ahlborn formula at maximum power and the Carnot formula at zero power. We further establish that the efficiency at maximum power is universally given by the Curzon-Ahlborn efficiency in the weakly damped regime. Finally, we show that even small…

## 31 Citations

Approaching Carnot efficiency at maximum power in linear response regime

- Physics, Mathematics
- 2018

We construct an example of heat engine whose efficiency at maximum power breaks down the previously derived bounds in the linear response regime. Such example takes a classical harmonic oscillator as…

Approaching Carnot efficiency at maximum power in linear response regime

- Physics
- 2019

We construct an example of heat engine whose efficiency at maximum power breaks down the previously derived bounds in the linear response regime. Such example takes a classical harmonic oscillator as…

Maximum efficiency of low-dissipation heat pumps at given heating load

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- 2021

We derive an analytical expression for maximum efficiency at fixed power of heat pumps operating along a finite-time reverse Carnot cycle under the low-dissipation assumption. The result is…

Maximum Efficiency of Low-Dissipation Heat Engines at Arbitrary Power

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- 2016

We investigate maximum efficiency at a given power for low-dissipation heat engines. Close to maximum power, the maximum gain in efficiency scales as a square root of relative loss in power and this…

Harvesting energy from a periodic heat bath

- Computer Science, Engineering2020 59th IEEE Conference on Decision and Control (CDC)
- 2020

Stochastic thermodynamics is proposed to consider thermodynamic processes with periodic continuously varying temperature of a heat bath and study questions of maximal power and efficiency for two idealized cases, overdamped (first-order) and underdamped (second- order) stochastic models.

Heat leakage in overdamped harmonic systems.

- Physics, MedicinePhysical review. E
- 2018

This work microscopically derive the additionally generated heat leakage and relates its origin to the initial relaxation of the velocity of the system and highlights the limitations of the overdamped approximation for the evaluation of the stochastic heat in systems with changing bath temperature.

Thermodynamic Geometry of Microscopic Heat Engines.

- Medicine, PhysicsPhysical review letters
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Focusing on Lindblad dynamics, a second bound is derived showing that coherence as a genuine quantum effect inevitably reduces the performance of slow engine cycles regardless of the driving amplitudes.

Stochastic thermodynamics of nonharmonic oscillators in high vacuum.

- Medicine, PhysicsPhysical review. E
- 2019

It is shown that the nonequilibrium probability density function for the system's energy is a Maxwell-Boltzmann distribution with a closed form time-dependent effective temperature and fractional degrees of freedom and the solvable model satisfies the Crooks fluctuation theorem, as expected.

Work distribution in thermal processes.

- Physics, MedicinePhysical review. E
- 2020

We find the moment generating function (mgf) of the nonequilibrium work for open systems undergoing a thermal process, i.e., when the stochastic dynamics maps thermal states into time-dependent…

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