论文标题

从具有隐藏状态的活动粒子中提取最佳功率

Optimal power extraction from active particles with hidden states

论文作者

Cocconi, Luca, Knight, Jacob, Roberts, Connor

论文摘要

我们在假设其空间轨迹(而不是其瞬时自我刺激力)可以直接观察时,我们可以确定从单个活动粒子从单个活动粒子受到最佳功率提取的最佳功率提取的通用协议。我们的贝叶斯方法利用了Onsager-Machlup路径的整体形式主义,并在一个维度的自由奔跑和活跃的Ornstein-Uhlenbeck动力学的情况下进行了例证。这种最佳协议即使在以时间对称位置轨迹为特征的模型中提取积极的工作,从而消失了信息熵的生产率。我们认为,这项工作中得出的理论界限是应比较现实的活动物质引擎的性能。

We identify generic protocols achieving optimal power extraction from a single active particle subject to continuous feedback control under the assumption that its spatial trajectory, but not its instantaneous self-propulsion force, is accessible to direct observation. Our Bayesian approach draws on the Onsager-Machlup path integral formalism and is exemplified in the cases of free run-and-tumble and active Ornstein-Uhlenbeck dynamics in one dimension. Such optimal protocols extract positive work even in models characterised by time-symmetric positional trajectories and thus vanishing informational entropy production rates. We argue that the theoretical bounds derived in this work are those against which the performance of realistic active matter engines should be compared.

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