## Optimization of Stochastic Heat Engines in the Underdamped LimitNikolas Zöller examines the working principles and the underlying theoretical foundations of a microscopic heat engine. In particular, he investigates the system’s stochastic dynamics in the underdamped regime which has hardly been studied in the past, but will be experimentally feasible in the near future due to recent technological developments. Emphasis is put on the maximization of the engine’s efficiency at maximum power through optimization of the driving protocol. In addition, possible experimental realizations of a microscopic heat engine are discussed. |

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### Contents

8 | |

1 Introduction | 11 |

2
Stochastic Heat Engine Overdamped Regime | 26 |

3 Experimental Setups in Overdamped and Underdamped Regimes
| 39 |

4 Stochastic Heat Engine Underdamped Regime | 49 |

5
Entropy Production in Inhomogeneous Thermal Environments | 73 |

6 Conclusions and Outlook | 81 |

Appendix | 83 |

Bibliography | 96 |

### Other editions - View all

Optimization of Stochastic Heat Engines in the Underdamped Limit Nikolas Zöller No preview available - 2017 |

### Common terms and phrases

analytical approximation anomalous entropy production bath change BestMasters Brownian Brownian motion Carnot efficiency cold bath control parameter damping constant driving protocol duration of cycle effective temperature efficiency at maximum energy erfi Figure Fokker-Planck equation free parameters full dynamics function Gaussian harmonic potential Hermite polynomials hot bath irreversible isothermal processes jumps Langevin dynamics Langevin equation maximal power output maximum power Mean square displacement mean square velocity microscopic optical cavity optical cavity trap optical trap optimal coupling Optimization of Stochastic optimized parameters oscillation overdamped limit Overdamped Underdamped Parameter set Phys piecewise linear protocol probability distribution relaxation Sanom simple linear protocol single trajectory stationary distribution stochastic heat engine stochastic integral stochastic process t∗tot temperature difference temperature gradients thermal damping thermal environment thermodynamics timescale total cycle Underdamped Limit underdamped regime variances Wiener process Zöller τλ