论文标题
非平衡协议优化的统一的几何框架
A unified, geometric framework for nonequilibrium protocol optimization
论文作者
论文摘要
控制热力学循环以最大程度地减少耗散热是热力学的长期目标，最近，在纳米级系统中，在随机热力学中是一个核心挑战。在这里，我们引入了一个理论和计算框架，用于优化非平衡控制协议，该协议可以以微型耗散方式在两个分布之间转换系统。这些协议可以在概率分布的空间沿路径上最佳运输系统，从而最大程度地减少转换的耗散成本。此外，我们表明，通过线性响应方法确定的热力学度量可以直接从在最佳传输问题中优化的相同目标函数得出，从而为热力学几何形状提供了统一的透视图。我们在两个模型系统中研究了这个统一的几何框架，并观察到我们优化控制协议的过程超出线性响应是可靠的。
Controlling thermodynamic cycles to minimize the dissipated heat is a longstanding goal in thermodynamics, and more recently, a central challenge in stochastic thermodynamics for nanoscale systems. Here, we introduce a theoretical and computational framework for optimizing nonequilibrium control protocols that can transform a system between two distributions in a minimally dissipative fashion. These protocols optimally transport a system along paths through the space of probability distributions that minimize the dissipative cost of a transformation. Furthermore, we show that the thermodynamic metric -- determined via a linear response approach -- can be directly derived from the same objective function that is optimized in the optimal transport problem, thus providing a unified perspective on thermodynamic geometries. We investigate this unified geometric framework in two model systems and observe that our procedure for optimizing control protocols is robust beyond linear response.
