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• W2892671784 abstract "Laws of spatial averaging on nanoscale for local electrostatic potential differences in ionic conductors are of key importance for the understanding of ion-transport phenomena and effects in space-charge layers. Currently, these laws are not investigated. As a consequence, the leading software packages for nanoscience do not have any competence for modeling of space-charge formation/relaxation in nanostructures with ionic hopping conductivity. So the article addresses the theme. For a layered nanostructure {Xk}, formed by parallel crystallographic Xk planes, an average electrostatic potential difference (<Vk,k+1>) in a non-uniform field is defined in terms of normalized sums Σ of the local works Wk,k+1 for Xk→Xk+1 transitions of mobile ions in a field of a single point charge. At a weak external electrical influence on {Xk}, the <Vk,k+1> can be easily generalized for a non-uniform field created by a set of point charges. The sums ΣWk,k+1 are calculated for small average distances (~0.6 nm) between mobile ions (as in advanced superionic conductors). Computer experiments show: (i) ΣWk,k+1 sums are independent of k-indices with the accuracy ~10%, (ii) probability density functions for local potential differences Vk,k+1 are close to normal distributions and (iii) <Vk,k+1> ≈ VUk,k+1, where VUk,k+1 is a potential difference in a uniform electrostatic field. These nanoscale laws allow manipulating by an average potential difference (<Vk,k+N>) between Xk and Xk+N planes (N > 1), so the modeling of non-stationary ion-transport processes and energy flows in parallel combinations of nanostructures become possible." @default.
• W2892671784 created "2018-10-05" @default.
• W2892671784 creator A5032772286 @default.
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• W2892671784 date "2018-11-01" @default.
• W2892671784 modified "2023-09-25" @default.
• W2892671784 title "Spatial averaging of electrostatic potential differences in layered nanostructures with ionic hopping conductivity" @default.
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• W2892671784 doi "https://doi.org/10.1016/j.jelechem.2018.09.046" @default.
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