Understanding mechanisms for rectifying stochastic fluctuations has been a longstanding problem in non-equilibrium statistical mechanics. Here, we explore an opportunity provided by non-equilibrium parity violating metamaterials to uncover new mechanisms for rectification of energy and motion. Using a parity violating gyroscopic metamaterial that is allowed to interact with a bath of active particles as a model system, we develop an analytic diagrammatic theory which compactly elucidates how the rectification results from an interplay between gyroscopic forces, non-equilibrium activity, and network structure. Our model active metamaterial can generate energy flows through an object in the absence of any temperature gradient. The nonreciprocal microscopic fluctuations responsible for generating the energy flows can further be used to power locomotion in, or exert forces on, a viscous fluid. Taken together, our analytical and numerical results elucidate how the geometry and inter-particle interactions of the parity violating material can couple with the non-equilibrium fluctuations of an active bath and enable rectification of energy and motion.

中文翻译：

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违反超平衡奇偶材料的校正

在非平衡统计力学中，了解用于纠正随机波动的机制是一个长期存在的问题。在这里，我们探索了由非平衡奇偶违反超材料提供的机会，以发现纠正能量和运动的新机制。使用允许与活动粒子池相互作用的奇偶校验陀螺超材料，我们开发了一种分析图论，它紧凑地阐明了陀螺力，非平衡活动和网络结构之间相互作用的整流结果。我们的模型活性超材料可以在没有任何温度梯度的情况下生成流经对象的能量。负责产生能量流的不可逆的微观波动还可以用来驱动粘性流体的运动或在粘性流体上施加力。两者合计，我们的分析和数值结果阐明了奇偶校验违反材料的几何形状和粒子间相互作用如何与主动浴池的非平衡波动耦合并实现能量和运动的校正。