Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
复制标题
在保持控制的同时快速驾驶：从哈密顿动力学到随机动力学的经典捷径
DOI：
10.1088/1361-6633/acacad
复制
发表时间：
2022-04
影响因子：
18.1
通讯作者：
D. Gu'ery-Odelin;C. Jarzynski;C. Plata;A. Prados;E. Trizac
中科院分区：
文献类型：
--
作者：
D. Gu'ery-Odelin;C. Jarzynski;C. Plata;A. Prados;E. Trizac
随机热力学奠定了一个广泛的框架，以重新审视介观系统各个随机轨迹的热、功和熵产生的古老概念。值得注意的是，这种方法依赖于随机运动方程，将时间引入到热力学过程的描述中，从而为精细控制热力学过程开辟了道路。结果，介观系统的有限时间热力学领域蓬勃发展。在本文中，在介绍了根据确定性运动方程演化的孤立机械系统的一些控制概念之后，我们回顾了通过正确设计瞬态控制参数/驱动，在过阻尼和欠阻尼状态下实现有限时间状态到状态转换的不同策略。所研究的系统是随机的，以浸入液体中的布朗物体为代表；因此，它们与环境紧密耦合，发挥着水库的作用。有趣的是，其中一些方法（逆向工程、反绝热驱动、快进）直接受到量子控制中对应方法的启发。该综述还分析了通过油藏工程进行控制。除了从已知初始状态到给定目标状态的可达性之外，还讨论了最佳路径的问题。这里的最优性是针对成本函数来定义的，成本函数是与信息热力学领域和速度限制问题密切相关的主题。讨论的另一个自然扩展涉及任意状态或非平衡稳态之间的联系。随机热力学的控制领域拥有丰富的应用，从最佳介观热机到生物系统中的群体控制。
Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production for individual stochastic trajectories of mesoscopic systems. Remarkably, this approach, relying on stochastic equations of motion, introduces time into the description of thermodynamic processes—which opens the way to fine control them. As a result, the field of finite-time thermodynamics of mesoscopic systems has blossomed. In this article, after introducing a few concepts of control for isolated mechanical systems evolving according to deterministic equations of motion, we review the different strategies that have been developed to realize finite-time state-to-state transformations in both over and underdamped regimes, by the proper design of time-dependent control parameters/driving. The systems under study are stochastic, epitomized by a Brownian object immersed in a fluid; they are thus strongly coupled to their environment playing the role of a reservoir. Interestingly, a few of those methods (inverse engineering, counterdiabatic driving, fast-forward) are directly inspired by their counterpart in quantum control. The review also analyzes the control through reservoir engineering. Besides the reachability of a given target state from a known initial state, the question of the optimal path is discussed. Optimality is here defined with respect to a cost function, a subject intimately related to the field of information thermodynamics and the question of speed limit. Another natural extension discussed deals with the connection between arbitrary states or non-equilibrium steady states. This field of control in stochastic thermodynamics enjoys a wealth of applications, ranging from optimal mesoscopic heat engines to population control in biological systems.