# On Derivation of the Poisson–Boltzmann Equation

@article{Chenn2020OnDO, title={On Derivation of the Poisson–Boltzmann Equation}, author={Ilias Chenn and Israel Michael Sigal}, journal={Journal of Statistical Physics}, year={2020}, volume={180}, pages={954-1001} }

Starting from the microscopic reduced Hartree–Fock equation, we derive the macroscopic linearized Poisson–Boltzmann equation for the electrostatic potential associated with the electron density.

## 7 Citations

### On the Reduced Hartree-Fock Equation with Anderson Type Background Charge Distribution

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We demonstrate that the reduced Hartree-Fock equation (REHF) with an Anderson type background charge distribution has an unique stationary solution by explicitly computing a screening mass at…

### On a Novel Effective Equation of the Reduced Hartree-Fock Theory

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We show that there is an one-to-one correspondence between solutions to the Poisson-Landscape equations and the reduced Hartree-Fock equations in the semi-classical limit at low temperature.…

### On the reduced Hartree-Fock equations with a Small Anderson Type Background Charge Distribution

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### On Capacitance and Energy Storage of Supercapacitor with Dielectric Constant Discontinuity

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The classical density functional theory (CDFT) is applied to investigate influences of electrode dielectric constant on specific differential capacitance Cd and specific energy storage E of a…

### Effective electrostatic forces between two neutral surfaces with surface charge separation: valence asymmetry and dielectric constant heterogeneity

- PhysicsMolecular Physics
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Based on CDFT calculations, we study new features of surface electrostatic force (SEF) between two face-to-face overall neutral surfaces, each of which is comprised of atomic scale strip shape charge…

### Analytical Solution of Modified Poisson–Boltzmann Equation and Application to Cylindrical Nanopore Supercapacitor Energy Storage

- Materials ScienceColloid Journal
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Abstract An approximate and analytical solution is obtained for a modified Poisson−Boltzmann (MPB) equation describing + z /− z electrolyte confined inside a cylindrical pore. Three expressions are…

### Automatic 3D cluster modelling of COVID-19 through voxel-based redistribution

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