Macroscopic Electrostatics at Positive Temperature from the Density Functional Theory
[Thesis]
Chen, Li Ilias Chenn
Sigal, Israel M
University of Toronto (Canada)
2019
125 p.
Ph.D.
University of Toronto (Canada)
2019
The purpose of this thesis is to study local perturbations of equilibrium crystalline states of the density functional theory (DFT) at positive temperature through the Kohn-Sham equations under local-density approximation (LDA). Under suitable scaling and at low temperature, we prove an existence result for the Kohn-Sham equations and show that local macroscopic perturbations from periodic equilibrium states give rise to the Poisson equation as an effective equation.