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

Mark Ospeck; Seth Fraden

doi:10.1063/1.477469

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arXiv · cond-mat/9809202

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

Mark Ospeck·Seth Fraden

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Abstract

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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Mark Ospeck, Seth Fraden. 1998-09-14. Solving the Poisson-Boltzmann Equation to Obtain Interaction Energies Between Confined, Like-charged Cylinders. https://doi.org/10.1063/1.477469

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