Colloidal crystal: bead–spring lattice immersed in viscous media

Colloidal crystal: bead–spring lattice immersed in viscous media
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胶体晶体:浸入粘性介质中的珠弹簧晶格

DOI:
10.1063/1.1366640
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发表时间:
2001
影响因子:
4.4
通讯作者:
I. Nishio
I. Nishio
中科院分区:
化学2区
文献类型:
--
作者:
Y. N. Ohshima;I. Nishio

文献摘要

被引文献

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我们提出了一种新的方法,可以用来描述胶体晶体的单粒子动力学。该方法将胶体晶体视为浸没在粘性流体中的经典珠状弹簧晶格。在这个模型中,一个粒子的均方位移(MSD)和一个粒子与另一个粒子的位移的平均乘积(x-MSD)是用类朗之万法精确得到的。换言之,MSD和x-MSD分别是粒子的自相关函数和两个粒子的互相关函数。作为流体动力相互作用的一阶近似,有效斯托克斯粘性阻力系数γef被引入到模型中,该模型考虑了由于所有其他颗粒的存在而产生的所有流体动力效应。由于粘性介质的作用,行声子模转变为弛豫模,粒子的运动可理解为这些弛豫模的叠加。预测的MSD为...
We present a report about a new approach that can be used to describe the single-particle dynamics of colloidal crystals. This approach regards the colloidal crystal as a classical bead–spring lattice immersed in viscous fluid. In this model, the mean square displacement of a particle (MSD) and the mean product of displacement of a particle and that of another particle (x-MSD) are obtained exactly using the Langevin treatmentlike method. In other words, MSD and x-MSD are, respectively, an autocorrelation function of a particle and a cross-correlation function of two particles. As the first-order approximation of hydrodynamic interaction, effective Stokes’ viscous drag coefficient γeff is introduced to the model that includes all of the hydrodynamic effects due to the presence of all other particles. As a result of the viscous media, traveling phonon modes are transformed into relaxation modes, and the motion of a particle is comprehended as a superposition of these relaxation modes. The predicted MSD for ...