Do ions have a coating in neuronal electrolytes under an electric field?

János Végh

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arXiv · 2607.27446

Do ions have a coating in neuronal electrolytes under an electric field?

János Végh

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Abstract

Ions in electrolytes can have coatings and can combine into different complexes that significantly affects their size, mass, and transport features. Measuring such coatings of ions traveling in narrow, limited spaces inside biological objects is challenging. We assumed that the coating changes the size of the ion and that the speed of the complex may influence its composition. The original Stokes-Einstein relation for diffusion assumes a simple, spherical particle in a homogeneous Newtonian fluid. It was modified to describe an electric-field-driven drift. One possible application of the result is describing the propagation of axonal impulses, especially since soliton theory models it as a mechanical vibration, i.e., its speed changes rapidly. Hodgkin and Huxley measured the membrane current (due to axonal current) as a function of the clamping voltage, and they confirmed the linear dependence, that is, the independence of the ions' coating state from their speed.

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János Végh. 2026-07-29. Do ions have a coating in neuronal electrolytes under an electric field?. https://arxiv.org/abs/2607.27446

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