论文标题
裂片几何形状中胶体液体的玻璃转变模式耦合理论
Mode-coupling theory of the glass transition for colloidal liquids in slit geometry
论文作者
论文摘要
我们为胶体液体的模式耦合方程提供了详细的推导,该胶体液体被两个平行光滑的壁限制。我们为不同的松弛通道引入了不可还原的记忆内核,从而将投影操作员技术扩展到狭缝几何形状中的胶体液体。研究集体动力学以及标记的粒子运动,我们证明模式耦合功能的假定与牛顿案例相同的形式,证实了相对于显微动力学的玻璃传播奇异性的普遍性。
We provide a detailed derivation of the mode-coupling equations for a colloidal liquid confined by two parallel smooth walls. We introduce irreducible memory kernels for the different relaxation channels thereby extending the projection operator technique to colloidal liquids in slit geometry. Investigating both the collective dynamics as well as the tagged-particle motion, we prove that the mode-coupling functional assumes the same form as in the Newtonian case corroborating the universality of the glass-transition singularity with respect to the microscopic dynamics.