论文标题
凝胶粘弹性响应的微流变方法
Microrheological approach for the viscoelastic response of gels
论文作者
论文摘要
在本文中，我提出了一个基于微流变学的简单且一致的框架，该框架允许人们从浸入其上的探针颗粒的运动中获得粘弹性流体和凝胶的机械响应。通过考虑非马克维亚语言方程，我获得了与内核和响应函数直接相关的均方位移和时间依赖性扩散系数的一般表达式，并允许人们获得复杂的剪切模量的估计值和材料的复杂粘度。通过应用它来描述化学交联的聚丙烯酰胺通过其溶胶 - 凝胶过渡来描述实验数据，从而证明了这种方法的有用性。
In this paper I present a simple and self-consistent framework based on microrheology that allows one to obtain the mechanical response of viscoelastic fluids and gels from the motion of probe particles immersed on it. By considering a non-markovian Langevin equation, I obtain general expressions for the mean-squared displacement and the time-dependent diffusion coefficient that are directly related to the memory kernels and the response function, and which allow one to obtain estimates for the complex shear modulus and the complex viscosity of the material. The usefulness of such approach is demonstrated by applying it to describe experimental data on chemically cross-linked polyacrylamide through its sol-gel transition.
