Macroscopic Electrostatics at Positive Temperature from the Density Functional Theory
General Material Designation
[Thesis]
First Statement of Responsibility
Chen, Li Ilias Chenn
Subsequent Statement of Responsibility
Sigal, Israel M
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
University of Toronto (Canada)
Date of Publication, Distribution, etc.
2019
GENERAL NOTES
Text of Note
125 p.
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
Ph.D.
Body granting the degree
University of Toronto (Canada)
Text preceding or following the note
2019
SUMMARY OR ABSTRACT
Text of Note
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.