Slits, plates, and Poisson-Boltzmann theory in a local formulation of nonlocal electrostatics

Paillusson, Fabien and Blossey, Ralf (2010) Slits, plates, and Poisson-Boltzmann theory in a local formulation of nonlocal electrostatics. Physical Review E, 82 (5). ISSN 1539-3755

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Polar liquids like water carry a characteristic nanometric length scale, the correlation length of orientation polarizations. Continuum theories that can capture this feature commonly run under the name of “nonlocal” electrostatics since their dielectric response is characterized by a scale-dependent dielectric function ε(q), where q is the wave vector; the Poisson(-Boltzmann) equation then turns into an integro-differential equation. Recently, “local” formulations have been put forward for these theories and applied to water, solvated ions, and proteins. We review the local formalism and show how it can be applied to a structured liquid in slit and plate geometries, and solve the Poisson-Boltzmann theory for a charged plate in a structured solvent with counterions. Our results establish a coherent picture of the local version of nonlocal electrostatics and show its ease of use when compared to the original formulation.

Keywords:Electrostatics, water
Subjects:F Physical Sciences > F300 Physics
F Physical Sciences > F170 Physical Chemistry
F Physical Sciences > F340 Mathematical & Theoretical Physics
Divisions:College of Science > School of Mathematics and Physics
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ID Code:17974
Deposited On:09 Sep 2015 10:03

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