被湍流液体扫过的粒子会扩散吗？
Does a particle swept by a turbulent liquid diffuse?
摘要：
自1926年Richardson的著名论文发表以来，湍流液体中两个粒子的相对扩散引起了人们的极大兴趣。另一方面，单个粒子的运动通常被认为不是特别有趣。普遍接受的观点是，粒子的速度在时间上具有短程相关性，导致在与相关时间相比更大的时间尺度上扩散的运动。然而，我们发现，相关时间是无穷大的，位移的平方F在穿越时间T中不是线性的，这对应于扩散，而是F与T^6/5成正比。也就是说，运动是稍微超扩散的。
英文摘要：
Since the famous 1926 paper by Richardson, the relative diffusion of two particles in a turbulent liquid has attracted a lot of interest. The motion of a single particle on the other hand is usually considered not to be especially interesting. The widely accepted picture is that the velocity of the particle has short-range correlations in time, resulting in motion that is diffusive on time scales large compared to the correlation time. We find, however, that the correlation time is infinite and that the square displacement, F, is not linear in the traversed time, T, which would correspond to diffusion, but rather F is proportional to T^6/5. Namely, the motion is slightly super diffusive.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
