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arXiv 1107.0347cond-mat.soft
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主被动旋翼协同自推进

Cooperative Self-Propulsion of Active and Passive Rotors

Yaouen Fily, Aparna Baskaran, M. Cristina Marchetti

摘要:

使用极小模型低雷诺数被动和主动转子在流体中,我们的特点转子之间的流体动力相互作用和一对相互作用的转子动力学。这使得我们能够在一个共同的框架中处理被动或外部驱动的转子,例如由旋转磁场驱动的磁性胶体,以及主动或内部驱动的转子,例如限制在边界处的精子细胞。被动旋翼的流体动力相互作用已知包含偶极级的方位角分量\sim 1/r^2,它可以产生最近发现的一对涡量相反的旋翼的“协同自推进”。虽然这种相互作用是积极的转子作为转矩平衡的结果是相同的零,我们表明,\sim 1/r^4方位角分量的相互作用出现在积极的系统八极顺序。合作的自我推进,虽然较弱,因此也可以发生对主动转子。

英文摘要:

Using minimal models for low Reynolds number passive and active rotors in a fluid, we characterize the hydrodynamic interactions among rotors and the resulting dynamics of a pair of interacting rotors. This allows us to treat in a common framework passive or externally driven rotors, such as magnetic colloids driven by a rotating magnetic field, and active or internally driven rotors, such as sperm cells confined at boundaries. The hydrodynamic interaction of passive rotors is known to contain an azimuthal component \sim 1/r^2 to dipolar order that can yield the recently discovered "cooperative self-propulsion" of a pair of rotors of opposite vorticity. While this interaction is identically zero for active rotors as a consequence of torque balance, we show that a \sim 1/r^4 azimuthal component of the interaction arises in active systems to octupolar order. Cooperative self-propulsion, although weaker, can therefore also occur for pairs of active rotors.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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