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It is important to emphasize the relevance of overdamped motion to the results presented. If the correlation time of the fluctuating force is smaller than the viscous decay time (as is the case in thermal Brownian motion). the fluctuating force enters additively in the euqations of motion for the particles and the effects discussed do not arise. In the present case, however, the viscous decay time is 1/260 s mush smaller than tha correlation time of the effective acceleration field. In this limit, the fluctuating component enters multiplicatively and leads to an averege attraction at long distances (but still shorter than the visous decay length), and repulsion at short distances.
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30
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85033312743
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note
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There is no large scale (low wave number) motion as in the case of turbulent flow. The Reynolds number is typically much smaller than unity.
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