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arXiv 0807.4751cond-mat.softcond-mat.other
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通过微流变学揭示的肥皂膜二维到三维转变

2D to 3D transition in soap films demonstrated by microrheology

Emory University(埃默里大学)

V. Prasad, Eric R. Weeks

AI总结:

本研究通过荧光显微镜追踪不同厚度肥皂膜中胶体颗粒的扩散运动,结合单、双颗粒微流变测量及相关理论公式,发现厚肥皂膜(h/d>7)中表面黏度出现非物理值,揭示了肥皂膜从二维到三维行为的转变。

摘要:

我们利用荧光显微镜追踪了直径为$d$的胶体颗粒在不同厚度$h$的肥皂膜中的扩散运动。通过对这些膜中颗粒运动的单颗粒和双颗粒微流变测量,我们得到了扩散常数。借助Trapeznikov近似[A. A. Trapeznikov,\textit{PICSA}(1957)]以及描述二维流体中扩散的Saffman方程,这些扩散常数与构成肥皂膜的界面的表面黏度相关。对于较厚的肥皂膜($h/d > 7$)中得到了不符合物理规律的表面黏度值,表明存在从二维行为到三维行为的转变。

英文摘要:

We follow the diffusive motion of colloidal particles of diameter $d$ in soap films of varying thickness $h$ with fluorescence microscopy. Diffusion constants are obtained both from one- and two-particle microrheological measurements of particle motion in these films. These diffusion constants are related to the surface viscosity of the interfaces comprising the soap films, by means of the Trapeznikov approximation [A. A. Trapeznikov, \emph{PICSA} (1957)] and Saffman's equation for diffusion in a 2D fluid. Unphysical values of the surface viscosity are found for thick soap films ($h/d > 7$), indicating a transition from 2D to 3D behavior.

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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