稀溶液和流体动力学区域中入侵者的手性动力学
Chiral Dynamics of an Intruder across Dilute and Hydrodynamic Regimes
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中文总结 AI 辅助
研究非平衡浴中任意形状入侵者的手性动力学,引入可解析模型,在稀溶液和密集区域分别用不同方程描述,结果表明形状与手性输运有关,且奇响应在不同极限下机制不同。
中文摘要 AI 辅助
我们引入并模拟了一个在非平衡浴中任意形状入侵者的易于解析处理的模型,其手性源于浴、入侵者或它们的耦合。在稀溶液区域,由玻尔兹曼 - 洛伦兹方程导出的朗之万描述展示了入侵者几何形状如何控制棘轮效应和奇响应。在密集区域,入侵者的动力学由浴的流体动力学模式和边缘电流控制,由包含手性扭矩密度的斯托克斯方程描述。我们的结果将形状与手性输运联系起来,并表明奇响应在稀溶液和密集极限中有不同机制。
英文摘要
We introduce and simulate an analytically tractable model for an intruder of arbitrary shape in a nonequilibrium bath, with chirality originating from the bath, the intruder, or their coupling. In the dilute regime, a Langevin description derived from a Boltzmann-Lorentz equation shows how intruder geometry governs ratchet effects and odd response. In the dense regime, the dynamics of the intruder are instead governed by the hydrodynamic modes of the bath and edge currents, which are described by a Stokes equation including a chiral torque density. Our results link shape to chiral transport and show that odd response arises from distinct mechanisms in the dilute and dense limits.