发表机构
School of Engineering and Applied Sciences, Harvard University; Department of Physics, Harvard University; Department of Organismic and Evolutionary Biology, Harvard University（哈佛大学工程与应用科学学院; 哈佛大学物理系; 哈佛大学有机体与进化生物学系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对扩散限制输运失效问题，提出最优动态电流方案，通过“bang-ride”结构最大化电荷转移，解析推导半无限域最优电流并扩展至多类域，可应用于电化学系统的充放电过程。
AI 中文摘要
某些系统中的输运会在扩散无法足够快速地从边界补充或移除材料时失效，导致边界浓度达到临界最小值或最大值。受电化学系统中电荷输运的扩散限制失效实验的启发，我们确定了受规定浓度约束下使电荷转移最大化的动态电流方案。最优方案具有“bang-ride”（阶跃-保持）结构：使用最大可行电流直到边界浓度达到临界值，之后逐步降低电流以维持该值。对于半无限域，我们解析推导了最优电流，并得到其相较于恒流操作的改进幅度的与系统无关的上界。我们还将该框架扩展到有限域和多层域，并表明同一公式适用于充电和放电过程。
英文摘要
Transport in certain systems fails when diffusion cannot replenish or remove material from a boundary rapidly enough, causing the boundary concentration to reach a critical minimum or maximum. Motivated by experiments in electrochemical systems that demonstrate this diffusion-limited failure of charge transport, we determine dynamic current protocols that maximize charge transfer subject to a prescribed concentration constraint. The optimal protocol has a "bang-ride" structure: the maximum feasible current is used until the boundary concentration reaches its critical value, after which the current is progressively reduced to maintain that value. For semi-infinite domains, we derive the optimal currents analytically and obtain system-independent upper bounds on their improvement over constant-current operation. We also extend the framework to finite and multilayer domains and show that the same formulation applies to both charging and discharging.
Comments20 pages, 5 figures
