Schrack Lukas, Franosch Thomas
Institut für Theoretische Physik, Universität Innsbruck, Innsbruck, Austria.
Philos Mag (Abingdon). 2020 Feb 11;100(8):1032-1057. doi: 10.1080/14786435.2020.1722859. eCollection 2020.
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.
我们详细推导了由两个平行光滑壁面限制的胶体液体的模式耦合方程。我们引入了不同弛豫通道的不可约记忆核，从而将投影算符技术扩展到狭缝几何形状中的胶体液体。通过研究集体动力学以及标记粒子的运动，我们证明模式耦合泛函与牛顿情形具有相同的形式，证实了玻璃化转变奇异性相对于微观动力学的普遍性。
