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arXiv 1010.2629cond-mat.soft
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剪切流作用下胶体液体在壁面上的密度分布

Density profiles of a colloidal liquid at a wall under shear flow

J. M. Brader, M. Krüger

摘要:

利用动力学密度泛函理论,我们分析了剪切流作用下近壁胶体液体的密度分布。由于所考虑的系统的对称性,天真的应用动态密度泛函理论不会导致剪切诱导的平衡密度分布的修改,这将是预期的物理基础。通过引入一个物理动机的动态平均场修正,我们将丢失的剪切诱导粒子间力的理论。我们发现,剪切流往往会增强硬球的密度分布在硬壁的振荡,并在足够高的剪切速率,诱导一个非平衡过渡到一个稳定的状态,其特征在于由平行于壁面的颗粒平面。在重力作用下,我们发现密度分布的质心随剪切速率而增加,即,剪切增加了颗粒的势能。

英文摘要:

Using a dynamical density functional theory we analyze the density profile of a colloidal liquid near a wall under shear flow. Due to the symmetries of the system considered, the naive application of dynamical density functional theory does not lead to a shear induced modification of the equilibrium density profile, which would be expected on physical grounds. By introducing a physically motivated dynamic mean field correction we incorporate the missing shear induced interparticle forces into the theory. We find that the shear flow tends to enhance the oscillations in the density profile of hard-spheres at a hard-wall and, at sufficiently high shear rates, induces a nonequilibrium transition to a steady state characterized by planes of particles parallel to the wall. Under gravity, we find that the center-of-mass of the density distribution increases with shear rate, i.e., shear increases the potential energy of the particles.

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