发表机构
Max Planck Institute for Dynamics and Self-Organization（马克斯·普朗克动力学与自组织研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究针对受主动涨落的粒子，提出仅用位置信息的最优功反馈控制方案，无需直接测量主动自由度，该方案在无限持续活性下仍具能量优势，为主动环境的信息引擎等提供设计原则。
AI 中文摘要
我们研究受主动涨落作用的粒子的最小功反馈控制，考虑被移动简谐势阱约束的主动奥恩斯坦-乌伦贝克粒子，推导了初始位置测量后的精确最优协议。研究结果表明，位置与主动涨落之间的非平衡关联允许仅基于位置信息从活性中提取功，无需直接测量主动自由度——这是早期文献的研究重点。我们发现，根据持续时间的不同，与被动系统相比，活性可促进或阻碍输运。令人惊讶的是，与基于主动涨落直接测量的反馈方案不同，即使在无限持续活性的极限下，位置反馈仍具有能量优势。研究结果为信息引擎和在主动环境中运行的最优控制策略提供了设计原则。
英文摘要
We study the minimum-work feedback control of particles subject to active fluctuations. Considering an active Ornstein-Uhlenbeck particle confined by a moving harmonic trap, we derive exact optimal protocols following an initial position measurement. Our results show that nonequilibrium correlations between position and active fluctuations allow work extraction from the activity based on positional information only, i.e., without directly measuring the active degree of freedom, which was the focus of earlier literature. We find that depending on the persistence time, activity can either facilitate or impede transport relative to passive systems. Surprisingly, unlike feedback schemes based on direct measurements of the active fluctuations, positional feedback remains energetically advantageous even in the limit of infinitely persistent activity. Our results provide design principles for information engines and optimal control strategies operating in active environments.
Comments12 pages, 2 figures
