Solving the Poisson-Boltzmann Equation to Obtain Interaction Energies Between Confined, Like-charged Cylinders

Details Solving the Poisson-Boltzmann Equation to Obtain Interaction Energies Between Confined, Like-charged Cylinders Solving the Poisson-Boltzmann Equation to Obtain Interaction Energies Between Confined, Like-charged Cylinders

1998-09-14

arxiv.org/abs/cond-mat/9809202v1

Physics

Condensed Matter

Soft Condensed Matter

8 pages, 11 figures. To be published in the Journal of Chemical Physics, Nov. 22, 1998. http://www.elsie.brandeis.edu is the C

Scientific paper

10.1063/1.477469

We numerically solve the non-linear Poisson-Boltzmann equation for two cylinders confined by two parallel charged plates. The repulsive electrical double layer component of the cylinder pair potential is substantially reduced by confinement between like-charged plates. While the effective cylinder surface charge is increased by the confinement, the effective interaction screening length is reduced, this effect being dominant so that the repulsive confined cylinder-cylinder interaction potential is reduced.

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