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二维泡沫中通用夹断的标度行为。

Scaling behavior of universal pinch-off in two-dimensional foam.

作者信息

Kuo Chin-Chang, Dennin Michael

机构信息

Department of Physics and Astronomy and Institute for Complex Adaptive Matter, University of California at Irvine, Irvine, California 92697-4575, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052308. doi: 10.1103/PhysRevE.87.052308. Epub 2013 May 22.

Abstract

We study the power-law scaling behavior and pinch-off morphology of two-dimensional bubble rafts under tension. As a function of pulling speed, we observe two distinct pinch-off morphologies that have been observed in other fluid systems: long threads (LT) and double-cone (DC). At any given pulling speed, there is a nonzero probability of observing LT or DC, with the probability of observing LT modes increasing with pulling velocity. The bubble rafts are composed of millimeter scale bubbles, and we are able to directly observe pinch-off to the point of final separation and measure the scaling of the minimum width in time. For both the LT and DC modes, the final scaling regime before pinch-off exhibits a universal power-law scaling behavior, with power-law fitting exponents of 0.73 ± 0.01. However, the final cone angle is different for states that initially exhibit LT or DC pinch-off, and for the LT case, the final scaling is best described as a local double-cone mode.

摘要

我们研究了二维气泡筏在张力作用下的幂律缩放行为和夹断形态。作为拉速的函数,我们观察到在其他流体系统中也已观察到的两种不同的夹断形态:长线(LT)和双锥(DC)。在任何给定的拉速下,观察到LT或DC都有非零概率,且观察到LT模式的概率随拉速增加。气泡筏由毫米级的气泡组成,我们能够直接观察夹断直至最终分离点,并测量最小宽度随时间的缩放情况。对于LT和DC模式,夹断前的最终缩放区域都呈现出普遍的幂律缩放行为,幂律拟合指数为0.73±0.01。然而,最初呈现LT或DC夹断的状态其最终锥角不同,对于LT情况,最终缩放最好描述为局部双锥模式。

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