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On derivation of the Poisson-Boltzmann equation - MaRDI portal

On derivation of the Poisson-Boltzmann equation (Q2194194)

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On derivation of the Poisson-Boltzmann equation
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    On derivation of the Poisson-Boltzmann equation (English)
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    25 August 2020
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    The authors of this article consider the derivation of the macroscopic linearized effective Poisson-Boltzmann equation for the electrostatic potential that is associated with the electron density. They start from the microscopic reduced Hartree-Fock equation at positive temperature which is a simplified density functional theory equation.
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    density functional theory
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    Kohn-Sham equation
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    microscopic limit
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    partial differential equations of quantum physics
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    Poisson-Boltzmann equation
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    electrostatics
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