A Numerical Method to Find the Optimal Thermodynamic Cycle in Microscopic Heat Engine
arXiv:2104.14373 · doi:10.1007/s10955-021-02813-2
Abstract
Heat engines are fundamental physical objects to develop nonequilibrium thermodynamics. The thermodynamic performance of the heat engine is determined by the choice of cycle and time-dependence of parameters. Here, we propose a systematic numerical method to find a heat engine cycle to optimize some target functions. We apply the method to heat engines with slowly varying parameters and show that the method works well. Our numerical method is based on the genetic algorithm which is widely applied to various optimization problems.
arXiv comment29 pages, 6 figures
References in corpus (14)
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- A single-atom heat engine
- Fundamental aspects of steady-state conversion of heat to work at the nanoscale
- Efficiency at maximum power: An analytically solvable model for stochastic heat engines
- Brownian Carnot engine
- Universality of efficiency at maximum power
- Universal trade-off between power, efficiency, and constancy in steady-state heat engines
- Optimal finite-time processes in stochastic thermodynamics
- Universal trade-off relation between power and efficiency for heat engines
- Speed Limit for Classical Stochastic Processes
- Tunable photonic heat transport in a quantum heat valve
- Speed limit for open quantum systems
- Thermodynamic Geometry of Microscopic Heat Engines
- Adiabatic processes realized with a trapped Brownian particle