On Derivation of the Poisson-Boltzmann Equation

被引：5

作者：

Chenn, Ilias ^{[1
]}

Sigal, I. M. ^{[2
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Univ Toronto, Dept Math, Toronto, ON, Canada

来源：

JOURNAL OF STATISTICAL PHYSICS | 2020年 / 180卷 / 1-6期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Density functional theory; Kohn-Sham equation; Microscopic limit; Partial differential equations of quantum physics; Poisson-Boltzmann equation; Electrostatics; HARTREE-FOCK THEORY; FORMULATION; STABILITY; CRYSTALS; ATOMS;

D O I：

10.1007/s10955-020-02562-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：954 / 1001

页数：48

共 36 条

[1] Existence of minimizers for Kohn-Sham models in quantum chemistry [J].