A Generalization of Shell Theorem. Electric Potential of Charged Spheres and Charged Vesicles Surrounded by Electrolyte

István P. Sugár

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arXiv · 2002.03029

A Generalization of Shell Theorem. Electric Potential of Charged Spheres and Charged Vesicles Surrounded by Electrolyte

István P. Sugár

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Abstract

By using the Debye screened potential a generalized version of Newton's Shell Theorem is developed and analytical equations are derived to calculate i) the potential of a charged sphere surrounded by electrolyte, ii) the potential of two concentric charged spheres surrounded by electrolyte, and iii) the membrane potential of a charged lipid vesicle surrounded by electrolyte with high ion concentration. By numerical integration the potential of a lipid vesicle is calculated at any electrolyte concentration.

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István P. Sugár. 2020-01-25. A Generalization of Shell Theorem. Electric Potential of Charged Spheres and Charged Vesicles Surrounded by Electrolyte. https://arxiv.org/abs/2002.03029

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