Infinite-dilution limit of cylindrical counterions (source code)

= Infinite-dilution limit of cylindrical counterions

In a neutral counterion-only cylindrical cell, send the outer radius to infinity at fixed cylinder charge. Below the <Manning parameter> threshold, number density tends to zero at each fixed radius. Above threshold, the <cylindrical counterion-only Poisson-Boltzmann profile> retains line charge $\lambda-q/\ell_B$ locally, while the rest recedes to infinity. Therefore the limit of the full finite-cell charge integral is not the charge integral of the pointwise limiting density.