1 Brownian motion of a colloidal particle in
1. 布朗运动与热涨落 Brownian motion of a colloidal particle in a medium Friction force: F=ξv ξ: frictional coefficient Dξ =k. BT According to Stokes’ law F=6πηa R : hydrodynamic radius Stokes-Einstein equation
液体中单个胶体粒子的运动: 流体力学半径 Once the center-of-mass diffusion coefficient D is measured for the suspension or the molecule, we can introduce the hydrodynamic radius RH by
粒子的扩散 Probability density function of a particle Probability density distribution : Gaussian distribution 二阶矩 Brownian dynamics
粒子的反常扩散：Trapping Effect
粒子的反常扩散：Levy飞行(superdiffusive) Probability density function of a particle Levy行走概率的二阶矩为无穷大！
非高斯型扩散 Fickian diffusion yet non. Gaussian t=5. 8 s t=3 s t=0. 6 s t=60 ms Wang B, Anthony S M, Bae S C, et al. Proceedings of the National Academy of Sciences, 2009, 106(36): 15160 -15164.
非高斯型扩散 Fickian diffusion yet non. Gaussian Fickian diffusion: t=0. 1 s Wang B, Anthony S M, Bae S C, et al. Proceedings of the National Academy of Sciences, 2009, 106(36): 15160 -15164.
非高斯型扩散 Fickian regime Ballistic regime Subdiffusive regime non-Gaussian parameter
3. 相变动力学（spinodal decomposition） 两相共混： =0. 5 t大的时候：L(t)~t 1/3
3. 相变动力学（spinodal decomposition）
3. 相变动力学（spinodal decomposition）
3. 相变动力学（spinodal decomposition）
3. 相变动力学（spinodal decomposition）
3. 相变动力学（spinodal decomposition）
3. 相变动力学（相分离最后阶段的生长） It seems clear that they are identical in their general character. What we see here is a coarsening process and, importantly, the observations suggest that all these transient structures which are passed through during the late stages of unmixing are similar to each other and differ only in length scale.
参考书 1. Soft Condensed Matter, Richard A. L. Jones, Oxford University Press, 2002 2. Soft Mater Physics, Masao Doi, Oxford University Press, 2013 3. I. Teraoka, Polymer Solutions: an Introduction to physical Properties, Wiley-Interscience(2002) (easy to understand)
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