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arxiv: 1110.5309 · v2 · pith:BFG4KDSTnew · submitted 2011-10-24 · ❄️ cond-mat.soft · cond-mat.mes-hall· cond-mat.mtrl-sci

The Electric Double Layer Structure Around Charged Spherical Interfaces

classification ❄️ cond-mat.soft cond-mat.mes-hallcond-mat.mtrl-sci
keywords sphericalsolutionanalyticalapplicabilityapproximatearoundchargeddemonstrated
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We derive a formally simple approximate analytical solution to the Poisson-Boltzmann equation for the spherical system via a geometric mapping. Its regime of applicability in the parameter space of the spherical radius and the surface potential is determined, and its superiority over the linearized solution is demonstrated.

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