论文标题

水滴中的同质冰核速率

Homogeneous Ice Nucleation Rate in Water Droplets

论文作者

Espinosa, Jorge R., Vega, Carlos, Sanz, Eduardo

论文摘要

为了预测云的辐射强迫,有必要知道冰在超冷水中均匀成核的速率。这种速率通常以滴度测量,以避免存在杂质。在大型过冷(纳米镜)下,必须使用滴剂来防止同时成核事件。通过拉普拉斯方程,这种滴内的压力大于大气中的压力。在这项工作中,我们考虑了这种压力升高,以便使用TIP4P/ICE水模型预测液滴的成核速率。我们从最近对每种超冷的最大液滴尺寸的估计开始,避免了同时成核事件[Espinosa等。 J. Chem。 Phys。,2016]。然后,我们使用拉普拉斯方程来评估液滴内部的压力。最后,我们通过在1和2000 bar [Espinosa等。物理。莱特牧师。 [2016]使用速率的经典成核理论表达式。反过来,这需要插值冰水界面自由能和化学势差。因此获得的TIP4P/ICE速率曲线与大多数基于液滴的实验非常吻合。特别是,我们发现与目前正在争论的纳米滴滴进行的测量相当一致。模型和实验之间的成功比较表明,TIP4P/ICE是研究水对冰过渡的可靠模型,而经典的成核理论是理解它的良好框架。

To predict the radiative forcing of clouds it is necessary to know the rate with which ice homogeneously nucleates in supercooled water. Such rate is often measured in drops to avoid the presence of impurities. At large supercooling small (nanoscopic) drops must be used to prevent simultaneous nucleation events. The pressure inside such drops is larger than the atmospheric one by virtue of the Laplace equation. In this work, we take into account such pressure raise in order to predict the nucleation rate in droplets using the TIP4P/Ice water model. We start from a recent estimate of the maximum drop size that can be used at each supercooling avoiding simultaneous nucleation events [Espinosa et al. J. Chem. Phys., 2016]. We then evaluate the pressure inside the drops with the Laplace equation. Finally, we obtain the rate as a function of the supercooling by interpolating our previous results for 1 and 2000 bar [Espinosa et al. Phys. Rev. Lett. 2016] using the Classical Nucleation Theory expression for the rate. This requires, in turn, interpolating the ice-water interfacial free energy and chemical potential difference. The TIP4P/Ice rate curve thus obtained is in good agreement with most droplet-based experiments. In particular, we find a good agreement with measurements performed using nanoscopic drops, that are currently under debate. The successful comparison between model and experiments suggests that TIP4P/Ice is a reliable model to study the water-to-ice transition and that Classical Nucleation Theory is a good framework to understand it.

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