A theoretical investigation is presented for a linear viscoelastic flow induced by an oscillatory colloidal particle in nonadsorbing polymer solutions. At small-amplitude oscillations, the polymer distribution is assumed to be at equilibrium and forms a depletion zone around the particle based on the mean-field approximation. The goal of the theoretical approach is to predict the apparent complex viscosity sensed by the particle and compare this with the actual viscosity of the bulk fluid. Due to the local inhomogeneity, substantial deviation between the apparent and true viscosity in the bulk needs to be corrected quantitatively. The resulting apparent complex viscosity or friction coefficient in the Fourier domain will help to interpret active and passive microrheological measurements of colloid-polymer mixtures that take polymer depletion into account.

中文翻译：

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探测聚合物溶液复粘度时由振荡球引起的流动

提出了关于在非吸附性聚合物溶液中由振荡胶体颗粒引起的线性粘弹性流动的理论研究。在小振幅振荡下，假定聚合物分布处于平衡状态，并根据平均场近似值在粒子周围形成耗尽区。理论方法的目的是预测颗粒感测到的表观复数粘度，并将其与散装流体的实际粘度进行比较。由于局部不均匀，需要定量校正本体中表观粘度和真实粘度之间的显着偏差。