论文标题
强胶体凝胶中的空间应力相关性
Spatial stress correlations in strong colloidal gel
论文作者
论文摘要
在这项工作中,我们首次系统地研究了软胶体凝胶材料中应力相关性的性质,这些凝胶材料支持拉伸力和压缩力以及有限的滚动扭矩,这是系统压力的函数。类似于以前关于仅具有压缩力且没有任何滚动扭矩的摩擦颗粒物质的研究,完全应力自相关矩阵由机械平衡和材料同时发生约束而导致的压力和扭矩自相关决定。令人惊讶的是,观察到的是,凝胶材料的表现不像文献中假定的正常弹性固体接近凝胶点,因为实际空间压力波动衰减的衰减慢于正常。我们还证明,在低压下,分形之类的结构相关决定了压力波动,这在真实空间中以不均匀的和各向异性力网络形成在实际空间中,这是由于较大的空隙而形成的。远离凝胶点,随着空隙在压缩下的崩溃,力链网络变得均匀且各向同性,并且压力波动变得正常,从而导致远距离弹性衰减正常,表现类似于无摩擦的颗粒物和玻璃。我们还观察到,在接近凝胶点的滚动阻力的情况下,扭矩自相关并不过于均匀。此外,我们将异常的压力波动与系统相对于局部填料的波动的非骨均匀行为联系起来,从而将共同框架下各种非平衡系统跨正常弹性行为的偏差联系起来。
In this work, we systematically investigate for the first time the nature of stress correlations in soft colloidal gel materials which support tensile and compressive forces as well as finite rolling torque, as a function of system pressure. Similar to previous studies on frictional granular matter with only compressive forces and without any rolling torque, the full stress autocorrelation matrix is dictated by the pressure and torque autocorrelations due to mechanical balance and material isotropy constraints. Surprisingly, it is observed that the gel materials do not behave as a normal elastic solid close to the gel point as assumed loosely in the literature because the real space pressure fluctuations decay slower than the normal. We also demonstrate that at low pressure the fractal like structural correlation determines the pressure fluctuations and this is manifested in the real space in terms of inhomogeneous and anisotropic force networks formed due to large voids. Far away from the gel point, as the voids collapse under compression, the force chain network becomes homogeneous and isotropic and the pressure fluctuations become normal leading to normal elastic decay at long range, behaving similar to frictionless granular matter and glass. We also observe that the torque autocorrelation is not hyperuniform in the presence of rolling resistance close to the gel point. Furthermore, we link the abnormal pressure fluctuations to the non-hyperuniform behaviour of the system with respect to the local packing fraction fluctuations, thus relating the deviations from the normal elastic behaviour across various non-equilibrium systems under a common framework.