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An integral equation method for the numerical calculation of ion drift and diffusion in evaporated dielectrics

Eine Integralgleichungsmethode zur numerischen Berechnung der Strömung und Diffusion von Ionen in evakuierten Dielectrica

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Abstract

A method is presented to solve the partial differential equation for a time dependent drift — diffusion process in a one dimensional finite space. The method is based on an integral equation technique, which is easily solved numerically on a digital computer. This technique has been used to study the transport phenomenon of mobile ions in evaporated dielectrics under influence of an electric field.

Zusammenfassung

Es wird eine Methode vorgelegt, um die partielle Differentialgleichung für einen zeitabhängigen Strömungs-Diffusionsprozeß in einem eindimensionalen endlichen Raum zu lösen. Die Methode beruht auf einer Integralgleichungstechnik, die leicht mit Hilfe von Ziffernrechenanlagen durchgeführt werden kann. Die Technik wurde dazu verwendet, den Transport von beweglichen Ionen in evakuierten Dielectrica unter dem Einfluß eines elektrischen Feldes zu studieren.

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De Mey, G. An integral equation method for the numerical calculation of ion drift and diffusion in evaporated dielectrics. Computing 17, 169–176 (1976). https://doi.org/10.1007/BF02276762

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  • DOI: https://doi.org/10.1007/BF02276762

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