Analytical model for describing ion guiding through capillaries in insulating polymers

doi:10.1088/1674-1056/24/8/086104

Abstract 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.

Keywords: ion guiding charging and discharging time blocked transmission asymptotic transmission

Received: 24 November 2014
Revised: 09 March 2015
Accepted manuscript online:

PACS:	61.85.+p	(Channeling phenomena (blocking, energy loss, etc.) ?)
	34.50.Fa	(Electronic excitation and ionization of atoms (including beam-foil excitation and ionization))
	71.45.Gm	(Exchange, correlation, dielectric and magnetic response functions, plasmons)

Fund: Project supported by the Major State Basic Research Development Program of China (Grant No. 2010CB832902) and the National Natural Science Foundation of China (Grant Nos. 11275241, 11275238, 11105192, and 11375034).

Corresponding Authors: Zhao Yong-Tao, Wang Yu-Yu
E-mail: zhaoyt@impcas.ac.cn;wangyuyu@impcas.ac.cn

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Liu Shi-Dong (刘世东), Zhao Yong-Tao (赵永涛), Wang Yu-Yu (王瑜玉), Stolterfoht N, Cheng Rui (程锐), Zhou Xian-Ming (周贤明), Xu Hu-Shan (徐瑚珊), Xiao Guo-Qing (肖国青) Analytical model for describing ion guiding through capillaries in insulating polymers 2015 Chin. Phys. B 24 086104

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