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

机译:用于纳米尺寸装置的最佳驾驶协议及其对储层联轴器的依赖性

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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.
机译:高效人工纳米进展的发展造成了基础和技术性质的挑战。在有限时间热力学的背景下取得了最新进展。有限时间热力学中的核心问题是识别最佳过程,以从明确的约束下运行的系统中提取最大的工作。对于外部控制的小系统,最佳驾驶协议在给定初始和最终能量值的约束下,在两个给定的系统状态之间的有限时间转换中最大化平均工作花费,以及固定的总操作时间。为简单起见,我们考虑一种外部控制的单级系统,该系统嵌入热环境中并耦合到粒子储存器。从不同系统储层联轴器的主方程方法计算最佳协议。对于开放系统,显示系统储层联轴器对最佳驱动设置具有惊人的影响。我们指出,最佳协议在初始和最终时间具有不连续的跳跃。最后,这项工作提供了第一次尝试将这些计算扩展到更大的系统大小。

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