论文标题
远离平衡的布朗运动中最佳线性响应过程的性能
Performance of optimal linear-response processes in driven Brownian motion far from equilibrium
论文作者
论文摘要
考虑到范式驱动的布朗运动，我们对远离平衡的最佳线性响应过程的性能进行了广泛的数值分析。我们专注于在分析中已知确切最佳过程的过度阻尼制度，并且大多数实验均运行。这使我们可以使用来自光学镊子实验的现实参数值比较在线性响应中获得的最佳过程，并解决它们与实验的相关性。我们的结果有助于评估扰动方法在不存在精确解决方案的情况下计算不可逆工作的准确性。为此，我们提出了一个性能指标，将近似最佳解决方案与确切的解决方案进行了比较。我们的主要结果是，最佳的线性响应过程可以表现出色，甚至远离预期的地方。
Considering the paradigmatic driven Brownian motion, we perform extensive numerical analysis on the performance of optimal linear-response processes far from equilibrium. We focus on the overdamped regime where exact optimal processes are known analytically, and most experiments operate. This allows us to compare the optimal processes obtained in linear response and address their relevance to experiments, using realistic parameter values from experiments with optical tweezers. Our results help assess the accuracy of perturbative methods in calculating the irreversible work for cases where an exact solution does not exist. For that, we present a performance metric comparing the approximate optimal solution to the exact one. Our main result is that optimal linear-response processes can perform surprisingly well, even far from where they were expected.
