On the viscosity and shear modulus of strongly interacting
On the viscosity and shear modulus of strongly interacting
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关于强相互作用的粘度和剪切模量
DOI：
10.1088/0305-4470/19/13/023
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
R. Klein
中科院分区：
文献类型：
--
作者：
W. Dozier;R. Klein
本文研究了强相互作用单分散胶体颗粒稀悬浮液的粘度。理论上我们发现，粘性可以由无限频率剪切模量乘以麦克斯韦弛豫时间G-T来计算，其中G”由相互作用得到，T取决于颗粒间的间距，但在物理上感兴趣的范围内与相互作用无关。实验上，我们发现，这种关系保持定量时，G是确定的剪切模量外推从测量胶体晶体，当T被视为一个'林德曼时间'-时间为一个粒子扩散- $j的距离附近的邻居-一个类似的值的结果从计算。因此，对于胶体的布朗动力学，可以从固体的测量中完全确定熔融状态的粘度。
We have studied the viscosity of dilute suspensions of strongly interacting monodispersed colloidal particles. Theoretically we find that the viscosity can be calculated from the infinite frequency shear modulus times a Maxwellian relaxation time G-T, where G" is obtained from the interactions and T depends on the interparticle spacing but is independent of the interactions over the physically interesting range. Experimentally we find that this relation holds quantitatively when G is identified with the shear modulus extrapolated from measurements on colloidal crystals, and when T is taken as a 'Lindemann time'-the time for a particle to diffuse - $j of the distance to a near neighbour-a similar value results from the calculations. Thus for the Brownian dynamics of colloids it is possible to completely determine the viscosity of the melted state from measurements of the solid.