A model is presented to predict the linear viscoelastic rheology of hydrophobically modified adhesive soft particle glasses in an aqueous solution. The hydrophobes on the surfaces of particles in contact preferentially associate with each other, creating an adhesive force between particles. The extent of this adhesive force depends on the number of associating or physically bonded hydrophobes and the strain on the bonds. The model is first presented for two horizontal surfaces with hydrophobes attached to them. The force required for oscillatory movement between these adhesive surfaces exhibits a Maxwellian behavior with a single relaxation time that is about the time for hydrophobe dissociation. The model is extended to predict the storage and loss moduli of adhesive soft particle glasses in ordered cubic lattices. In addition to the adhesive force, the particles also exhibit repulsive elastic and elastohydrodynamic interparticle forces. For situations where there is no adhesive force between particles, the storage modulus is independent of frequency, and the loss modulus is a linear function of frequency. The storage and loss moduli as functions of frequency are richer with adhesive forces. The storage modulus exhibits two plateaus, one at low and one at high frequency. The loss modulus exhibits a local maximum in frequency that occurs at approximately the dissociation rate of the hydrophobes.

中文翻译：

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粘性软颗粒玻璃的线性粘弹性

提出了一个模型来预测水溶液中疏水改性的粘合性软颗粒玻璃的线性粘弹性流变性。接触的颗粒表面上的疏水物优先彼此缔合，从而在颗粒之间产生粘合力。该粘合力的程度取决于缔合或物理结合的疏水物的数量以及键上的应变。该模型首先针对两个附着有疏水性的水平面提出。这些胶粘剂表面之间的振荡运动所需的力表现出麦克斯韦行为，其单个弛豫时间约为疏水物解离的时间。扩展该模型以预测有序立方晶格中粘性软颗粒玻璃的存储和损耗模量。除粘附力外，颗粒还表现出排斥弹性和弹性流体动力颗粒间力。对于颗粒之间没有粘合力的情况，储能模量与频率无关，损耗模量是频率的线性函数。随频率变化的存储模量和损耗模量在粘附力的作用下更加丰富。储能模量表现出两个平稳状态，一个处于低频，一个处于高频。损耗模量表现出频率的局部最大值，该最大值出现在疏水团的解离速率附近。随频率变化的存储模量和损耗模量在粘附力的作用下更加丰富。储能模量表现出两个平稳状态，一个处于低频，一个处于高频。损耗模量表现出频率的局部最大值，该最大值出现在疏水团的解离速率附近。随频率变化的存储模量和损耗模量在粘附力的作用下更加丰富。储能模量表现出两个平稳状态，一个处于低频，一个处于高频。损耗模量表现出频率的局部最大值，该最大值出现在疏水团的解离速率附近。