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Tumbling in Air
When snowflakes and volcanic ash fall, they tumble. Historically, it's been too hard to observe this behavior first hand -- the particles are too small to easily follow with a camera -- so scientists instead looked at larger particles falling through water. (Image credit: snow - A. Burden, experiment - T. Bhowmick et al.; research credit: T. Bhowmick et al.; via APS Physics) Read the full article
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“Unsteady Particle Tracing in a Reciprocating Compressor with Flexible Reed Valve“
4点相关函数的计算方法
我把4点相关函数的计算方法做成了一个幻灯片。
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Rice分布的数值计算
[latexpage] 我在极坐标下的二维无规行走中讨论到Rice分布： \begin{equation}\label{eq:1} p_R\left(r\right)=\frac{r}{\sigma^2}I_0\left(\frac{r\mu_r}{\sigma^2}\right)\exp\left(-\frac{r^2+\mu_r^2}{2\sigma^2}\right) \end{equation}…
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极坐标下的二维无规行走
[latexpage] 这几天我在李俊杰、Mathematica的帮助下推导了极坐标下的二维布朗运动的统计。一开始我就觉得，这是很基本的问题，应该会有相应的例题或课件直接给出答案。但是一开始搜都搜不到。我用体育老师教的数学推了半天，出结果之后，就立马搜到资料了。只当作上天逼我练习一下大学的数学吧。 我要考虑的问题是二维无规行走的极坐标的统计，即极径和极角的分布。之前我总结过了二维和三维无规行走的极径分布分别是Rayleigh分布和Maxwell分布，这都是直角坐标的期望值为零的情况。本文一是要考虑期望值不为零的情况，二是不光考虑极径的分布，还要考虑极角的。 二维无规行走的“轨迹中心”…
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[Source: Condensation and dissolution of nematic droplets in dispersions of colloidal rods with thermo–sensitive depletants. Anna Modlińska et al (2015), Scientific Reports http://dx.doi.org/10.1038/srep18432]
Probe microrheology的问题
我正在做微流变，往样品里添加probe particles，通过video particle tracking（VPT）方法得到他们的热运动，从而反推样品的dynamics。关于这个反推过程的认真讨论还不多。 一个简单的做法已经众所周知。通过generalized Stokes-Einstein relation (GSE)，可以从probe…
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Trajectories of particles released at slack high water in the case with only tidal forcing. Red: particles released near the surface; blue: particles released at mid-depth. Because of the limitation of ECOM-si in resolving the coastal geometry, the trajectories of particles would be very different from the water exchange movement over the estuarine and salt marsh complex.
