A novel protocol for linearization of the Poisson-Boltzmann equation

R. Tsekov

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arXiv · 1401.1018

A novel protocol for linearization of the Poisson-Boltzmann equation

R. Tsekov

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Abstract

A new protocol for linearization of the Poisson-Boltzmann equation is proposed and the resultant electrostatic equation coincides formally with the Debye-Huckel equation, the solution of which is well known for many electrostatic problems. The protocol is examined on the example of electrostatically stabilized nano-bubbles and it is shown that stable nano-bubbles could be present in aqueous solutions of anionic surfactants near the critical temperature, if the surface potential is constant. At constant surface charge non nano-bubble could exist.

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R. Tsekov. 2014-10-25. A novel protocol for linearization of the Poisson-Boltzmann equation. https://arxiv.org/abs/1401.1018

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