论文标题

EH-DPD:一种耗散粒子动力学方法

EH-DPD: a Dissipative Particle Dynamics approach to Electro-Hydrodynamics

论文作者

Gubbiotti, Alberto, Chinappi, Mauro, Casciola, Carlo Massimo

论文摘要

在许多纳米流体和生物技术应用中,电水动力学至关重要。在如此小的尺度中,由于热波动的相关性,增加了流体动力学与离子动力学的复杂性。在这里,我们提出了一种基于流体的耗散粒子动力学(DPD)模型的中尺度方法。将两个标量量添加到标准DPD公式中,与每个DPD粒子携带的正离子和负离子的数量相对应。我们引入了一个通用框架,鉴于DPD粒子的自由能的定义,它允许得出波动散落关系和DPD粒子之间离子通量的表达。这提供了系统动力学及其平衡属性之间的联系。然后,对模型进行了验证,以模拟平面电流流,以重叠和非重叠的电动双层。结果表明,使用状态的范德华方程可以考虑离子有限大小的效果,从而导致对理想溶液案例的浓度和速度曲线产生显着影响。

Electrohydrodynamics is crucial in many nanofluidic and biotechnological applications. In such small scales, the complexity due to the coupling of fluid dynamics with the dynamics of ions is increased by the relevance of thermal fluctuations. Here, we present a mesoscale method based on the Dissipative Particle Dynamics (DPD) model of the fluid. Two scalar quantities, corresponding to the number of positive and negative ions carried by each DPD particle, are added to the standard DPD formulation. We introduced a general framework that, given the definition of the free-energy of the DPD particle, allows to derive a fluctuation-dissipation relation and the expression for ionic fluxes between the DPD particles. This provides a link between the dynamics of the system and its equilibrium properties. The model is then validated simulating a planar electroosmotic flow for the cases of overlapping and non overlapping electric double layers. It is shown that using a Van der Waals equation of state the effect of ionic finite size can be accounted, leading to significant effects on the concentration and velocity profiles with respect to the ideal solution case.

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