Hernández-Contreras M
Departamento de Física, Centro de Investigación y Estudios Avanzados del Instituto Politécnico Nacional Apartado Postal 14-740, México Distrito Federal, México.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Aug;88(2):022317. doi: 10.1103/PhysRevE.88.022317. Epub 2013 Aug 27.
We report a generalization of a nonequilibrium thermodynamic theory for the mesoscopic dynamics of radially symmetric interacting particles to anisotropic pairwise interactions and attain the one- and two-particle Fokker-Planck kinetics equations at a low-density limit that provides the translational-rotational coupling of their motion due to hydrodynamic interactions, from which we derived the balance equations of linear, angular momentum, and energy dissipation due to particle interactions and energy interchange with heat bath. In this low-density approximation, an already-known virial expression for the long-time translational collective diffusion coefficient of an orientational isotropic suspension in terms of the fluid equilibrium microstructure is recovered. An external shear flow induces, in the diffusive regime, vorticity effects into the rotational diffusion property of the colloidal particles. They manifest in the appearance of the particle's rotational viscosity due to vortex flow. The Smoluchowski equation that governs the dynamical relaxation of colloid microstructure due to particle's Brownian motion under stationary flow is provided.
我们报告了一种非平衡热力学理论的推广，该理论用于具有径向对称相互作用粒子的介观动力学，以处理各向异性的成对相互作用，并在低密度极限下得到单粒子和双粒子福克 - 普朗克动力学方程，该方程由于流体动力学相互作用提供了粒子运动的平动 - 转动耦合，由此我们推导出了由于粒子相互作用以及与热浴的能量交换而产生的线性动量、角动量和能量耗散的平衡方程。在这种低密度近似下，恢复了一个已知的关于取向各向同性悬浮液的长时间平动集体扩散系数的维里表达式，该表达式基于流体平衡微观结构。外部剪切流在扩散区域将涡度效应引入胶体粒子的转动扩散特性中。它们表现为由于涡流导致粒子出现转动粘度。给出了在稳定流作用下，由粒子布朗运动控制胶体微观结构动态弛豫的斯莫卢霍夫斯基方程。
