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Sheared phase-separating binary mixtures with surface diffusion
Journal of Physics A: Mathematical and Theoretical ( IF 2.0 ) Pub Date : 2020-07-13 , DOI: 10.1088/1751-8121/ab966f
G Gonnella 1 , A Lamura 2
Affiliation  

The phase-separation process of a binary mixture with order-parameter-dependent mobility under shear flow is numerically studied. The ordering is characterized by an alternate stretching and bursting of domains which produce oscillations in the physical observables. The amplitude of such modulations reduce in time when the mobility vanishes in the bulk phase, disfavoring the growth of bubbles coming from bursted domains. We propose two equations for the typical sizes R x and R y of domains finding the long-time behaviors R x ∼ t 5/4 and R y ∼ t 1/4 in the flow and shear directions, respectively, in the case of surface diffusion. A reduction of the excess viscosity with increasing shear rate is observed in simulations.

中文翻译:

具有表面扩散的剪切相分离二元混合物

数值研究了剪切流作用下具有阶数相关迁移率的二元混合物的相分离过程。该顺序的特征在于域的交替拉伸和爆发,这些域在物理可观察物中产生振荡。当迁移率在本体相中消失时,这种调制的幅度会随时间减小,从而不利于来自破裂畴的气泡的增长。对于表面区域的典型尺寸R x和R y,我们提出了两个方程,在表面情况下,分别在流动方向和剪切方向上找到了长期行为R x〜t 5/4和R y〜t 1/4扩散。在模拟中观察到过量粘度随剪切速率的增加而降低。
更新日期:2020-07-14
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