Analytical model for describing ion guiding through capillaries in insulating polymers
Analytical model for describing ion guiding through capillaries in insulating polymers
复制标题
用于描述离子引导通过绝缘聚合物毛细管的分析模型
DOI：
10.1088/1674-1056/24/8/086104
复制
发表时间：
2015
影响因子：
1.7
通讯作者：
Xiao Guo-Qing
中科院分区：
文献类型：
--
作者：
Liu Shi-Dong;Zhao Yong-Tao;Wang Yu-Yu;Stolterfoht N.;Cheng Rui;Zhou Xian-Ming;Xu Hu-Shan;Xiao Guo-Qing
在前人工作的基础上，对离子在纳米电容器中的引导进行了分析描述。假设进入毛细管的电流被分成通过毛细管传输的电流部分、经由毛细管电导率流走的电流部分和保留在毛细管内的电流部分，该电流部分负责其充电。放电电流被认为是由Frenkel-Poole过程。在更高的电导率的分析模型显示了阻塞的离子传输，这是在最近的模拟。此外，它表明，在实验中观察到的离子阻塞很好地再现的解析公式。此外，确定了透射离子的渐近分数。除了关键的控制参数（荷能比），毛细管电导率的入射电流的比例被包括在模型中。指出了Frenkel-Poole放电的非线性极限和线性极限的区别。
An analytical description for guiding of ions through nanocapillaries is given on the basis of previous work. The current entering into the capillary is assumed to be divided into a current fraction transmitted through the capillary, a current fraction flowing away via the capillary conductivity and a current fraction remaining within the capillary, which is responsible for its charge-up. The discharging current is assumed to be governed by the Frenkel–Poole process. At higher conductivities the analytical model shows a blocking of the ion transmission, which is in agreement with recent simulations. Also, it is shown that ion blocking observed in experiments is well reproduced by the analytical formula. Furthermore, the asymptotic fraction of transmitted ions is determined. Apart from the key controlling parameter (charge-to-energy ratio), the ratio of the capillary conductivity to the incident current is included in the model. Differences resulting from the nonlinear and linear limits of the Frenkel–Poole discharge are pointed out.