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

Journal article

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

Mark Ospeck and Seth Fraden

The Journal of chemical physics, Vol.109(20), pp.9166-9171

09/14/1998

DOI: https://doi.org/10.1063/1.477469

Abstract

Physics - Soft Condensed Matter

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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Title: Solving the Poisson-Boltzmann Equation to Obtain Interaction Energies Between Confined, Like-charged Cylinders
Creators: Mark Ospeck - Brandeis University
Seth Fraden - Brandeis University
Publication Details: The Journal of chemical physics, Vol.109(20), pp.9166-9171
Identifiers: 9924086489101921
Academic Unit: Martin A. Fisher School of Physics
Language: English
Resource Type: Journal article

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

Abstract

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