论文标题
具有强谐陷阱的最佳控制
Optimal control with a strong harmonic trap
论文作者
论文摘要
二次捕获势被广泛用于实验探测生物聚合物和分子机，并在转导的分子动力学模拟中驱动过渡。将能量景观近似为局部二次，我们设计了最小化耗散的多维捕获协议。设计的协议易于解决，适用于广泛的系统。近似值不依赖于快速或缓慢的限制，并且在任何持续时间内都有效，只要诱捕电势足够强。我们使用定期驱动的旋转电动机的简单模型演示了设计协议的实用性。我们的结果阐明了有效的单分子操作和有效的非平衡自由能估计的原则。
Quadratic trapping potentials are widely used to experimentally probe biopolymers and molecular machines and drive transitions in steered molecular-dynamics simulations. Approximating energy landscapes as locally quadratic, we design multidimensional trapping protocols that minimize dissipation. The designed protocols are easily solvable and applicable to a wide range of systems. The approximation does not rely on either fast or slow limits and is valid for any duration provided the trapping potential is sufficiently strong. We demonstrate the utility of the designed protocols with a simple model of a periodically driven rotary motor. Our results elucidate principles of effective single-molecule manipulation and efficient nonequilibrium free-energy estimation.
