Lang Simon, Franosch Thomas
Institut für Theoretische Physik, Leopold-Franzens-Universität Innsbruck, Technikerstraße 25/2, A-6020 Innsbruck, Austria and and Institut für Theoretische Physik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstraße 7, D-91058 Erlangen, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jun;89(6):062122. doi: 10.1103/PhysRevE.89.062122. Epub 2014 Jun 16.
We investigate the dynamics of a tagged particle embedded in a strongly interacting confined liquid enclosed between two opposing flat walls. Using the Zwanzig-Mori projection operator formalism we obtain an equation of motion for the incoherent scattering function suitably generalized to account for the lack of translational symmetry. We close the equations of motion by a self-consistent mode-coupling ansatz. The interaction of the tracer with the surrounding liquid is encoded in generalized direct correlation functions. We extract the in-plane dynamics and provide a microscopic expression for the diffusion coefficient parallel to the walls. The solute particle may differ in size or interaction from the surrounding host-liquid constituents offering the possibility of a systematic analysis of dynamic effects on the tagged-particle motion in confinement.
我们研究了嵌入在两个相对平壁之间的强相互作用受限液体中的标记粒子的动力学。使用Zwanzig-Mori投影算符形式，我们得到了一个非相干散射函数的运动方程，该方程经过适当推广以考虑平移对称性的缺失。我们通过自洽模耦合假设来封闭运动方程。示踪剂与周围液体的相互作用编码在广义直接相关函数中。我们提取了面内动力学，并给出了平行于壁的扩散系数的微观表达式。溶质粒子在大小或相互作用方面可能与周围主体液体成分不同，这为系统分析受限环境中标记粒子运动的动态效应提供了可能性。
