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arXiv 1608.00626cond-mat.soft
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耗散粒子动力学中点电荷Ewald和的静电学

Electrostatics in dissipative particle dynamics using Ewald sums with point charges

K. A. Terrón-Mejía, R. López-Rendón, A. Gama Goicochea

摘要:

正确处理静电相互作用对于计算机模拟中力的精确计算至关重要。静电相互作用通常使用基于Ewald的方法来建模,该方法已经成为用于静电相互作用的数值计算的许多其他方法所基于的基石之一。然而,他们的使用与电荷分布,而不是点电荷需要包括的泊松方程的解决方案的anonymous,因为没有确切的解决方案,已知的涂抹的费用。在与软凝聚态物理研究相关的长度和时间尺度上纳入静电相互作用的兴趣大大增加。使用中尺度模拟技术,如耗散粒子动力学(DPD),使我们能够在数值模拟中达到更长的时间尺度,而不放弃问题的颗粒描述。将静电学纳入DPD模拟的主要问题是DPD颗粒是软的,并且那些具有相反电荷的颗粒可以形成人工离子簇。在这里,我们表明,可以将静电相互作用,通过埃瓦尔德总和与点电荷在DPD中,如果使用较大的值的粗粒化程度,其中DPD是真正的介观。使用具有较大排斥体积相互作用的点电荷,可以避免人工形成具有点电荷的离子对,并且可以获得正确的预测。我们建立的范围内的参数用于检测人工形成的离子对发生的边界。最后,使用点电荷,我们预测聚电解质在不同质量的溶剂中的标度特性,并获得与使用其他方法的计算相一致的预测,并与最近的实验结果。

英文摘要:

A proper treatment of electrostatic interactions is crucial for the accurate calculation of forces in computer simulations. Electrostatic interactions are typically modeled using Ewald based methods, which have become one of the cornerstones upon which many other methods for the numerical computation of electrostatic interactions are based. However, their use with charge distributions rather than point charges requires the inclusion of ansatz for the solutions of the Poisson equation, since there is no exact solution known for smeared out charges. The interest for incorporating electrostatic interactions at the scales of length and time that are relevant for the study the physics of soft condensed matter has increased considerably. Using mesoscale simulation techniques, such as dissipative particle dynamics (DPD), allows us to reach longer time scales in numerical simulations, without abandoning the particulate description of the problem. The main problem with incorporating electrostatics into DPD simulations is that DPD particles are soft and those particles with opposite charge can form artificial clusters of ions. Here we show that one can incorporate the electrostatic interactions through Ewald sums with point charges in DPD if larger values of coarse graining degree are used, where DPD is truly mesoscopic. Using point charges with larger excluded volume interactions the artificial formation of ionic pairs with point charges can be avoided, and one obtains correct predictions. We establish ranges of parameters useful for detecting boundaries where artificial formation of ionic pairs occurs. Lastly, using point charges we predict the scaling properties of polyelectrolytes in solvents of varying quality and obtain predictions that are in agreement with calculations that use other methods, and with recent experimental results.

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