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arXiv 2603.07830cond-mat.softmath-phmath.MPphysics.bio-phphysics.flu-dyn
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膜中力偶相互作用与奇粘性

Force Dipole Interactions in Membranes with Odd Viscosity

Birla Institute of Technology and Science, Pilani(比拉理工学院);Institute for Plasma Research(等离子体研究所)

Sneha Krishnan, Udaya Maurya, Rickmoy Samanta

AI总结:

研究膜中力偶相互作用与奇粘性,通过流体动力学框架推导格林张量,揭示不同动力学区域及手性响应特征。

摘要:

我们发展了一个流体动力学框架,用于描述嵌入在可压缩流体膜中的力偶的相互作用和集体动力学,该膜由浅层粘性亚相支撑。从具有剪切、膨胀和奇(Hall)粘性的广义二维斯托克斯方程出发,我们利用汉克尔变换推导出一个精确的实空间格林张量。所得张量由三个流体动力学筛选尺度特征,分别对应于剪切、压缩和奇粘性模式,并平滑地退化为不可压缩膜和可压缩对称性膜的标准极限情况,同时捕捉到由奇粘性产生的手性响应。利用这个格林张量,我们获得了由力偶产生的速度和涡度场,并建立了相互作用偶极子的动力学系统。分析揭示了若干不同的动力学区域,并识别出可以隔离力偶相互作用中反称奇粘性贡献的可观测量,包括横向漂移和手性相对运动。

英文摘要:

We develop a hydrodynamic framework for the interactions and collective dynamics of force dipoles embedded in a compressible fluid membrane supported by a shallow viscous subphase. Starting from the generalized two-dimensional Stokes equations with shear, dilatational, and odd (Hall) viscosities, we derive an exact real-space Green tensor using Hankel transforms. The resulting tensor is characterized by three hydrodynamic screening scales associated with shear, compressional, and odd-viscous modes, and smoothly reduces to the standard limiting cases of incompressible membranes and compressible parity-symmetric membranes, while also capturing the chiral response generated by odd viscosity. Using this Green tensor we obtain the velocity and vorticity fields generated by a force dipole and formulate the dynamical system governing interacting dipoles. The analysis reveals several distinct dynamical regimes and identifies observables that isolate the antisymmetric odd-viscous contribution to dipole interactions, including transverse drift and chiral relative motion.

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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