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arXiv 1004.3663cond-mat.soft
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约束胶体运动的持久关联

Persistent correlation of constrained colloidal motion

Thomas Franosch, Sylvia Jeney

摘要:

我们已经调查了一个单一的光学捕获的胶体粒子的运动在时间尺度上的限制壁周围的流体的惯性起着重要的作用。速度自相关函数表现出复杂的相互作用,由于动量弛豫的颗粒,在流体中的涡流扩散,靠近界面的流动的阻碍,以及由于光阱的谐波回复力。我们表明,已经有一个弱的捕获力有显着影响的速度自相关函数C(t)=<v(t)v(0)>的时候,流体动力学记忆导致代数衰减。长时间的行为,平行和垂直于墙壁的运动推导出解析和数值计算结果相比。然后,我们讨论了位移的功率谱密度,并提供了简单的插值公式。最后将理论预测与最近的实验观测进行了比较。

英文摘要:

We have investigated the motion of a single optically trapped colloidal particle close to a limiting wall at time scales where the inertia of the surrounding fluid plays a significant role. The velocity autocorrelation function exhibits a complex interplay due to the momentum relaxation of the particle, the vortex diffusion in the fluid, the obstruction of flow close to the interface, and the harmonic restoring forces due to the optical trap. We show that already a weak trapping force has a significant impact on the velocity autocorrelation function C(t)=<v(t)v(0)> at times where the hydrodynamic memory leads to an algebraic decay. The long-time behavior for the motion parallel and perpendicular to the wall is derived analytically and compared to numerical results. Then, we discuss the power spectral densities of the displacement and provide simple interpolation formulas. The theoretical predictions are finally compared to recent experimental observations.

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