Optimal driving protocols for nano-sized devices and their dependence on couplings to reservoirs

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Einax, Mario^1

Fachbereich Physik, Universität Osnabrück, Barbarastraße 7, 49076 Osnabrück, Germany^1

关键词: Final energy;    Finite time thermodynamics;    Master equations;    Operation time;    Optimal protocols;    Recent progress;    Small systems;    Thermal environment;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012185/pdf
DOI  :  10.1088/1742-6596/490/1/012185

来源: IOP

【 摘 要 】

The development of efficient artificial nanodevices poses challenges which are of fundamental and technological nature. Recent progress has been made in the context of finite-time thermodynamics. A central question in finite-time thermodynamics is to identify the optimal procedure to extract the greatest amount of work from a system operating under well-defined constraints. For externally controlled small systems, the optimal driving protocol maximizes the mean work spend in a finite-time transition between two given system states under the constraints of given initial and final energy values, and a fixed total operation time. For simplicity we consider an externally controlled single level system, which is embedded in a thermal environment and coupled to a particle reservoir. The optimal protocols are calculated from a master equation approach for different system-reservoir couplings. For open systems, the system-reservoir couplings are shown to have a striking influence on the optimal driving setup. We point out that the optimal protocols have discontinuous jumps at the initial and final times. Finally, this work provides a first attempt to extend these calculations to larger system sizes.