*Everyone is welcome to attend. Refreshments will be served in the Math Lounge before the exam.*

Friday, July 26, 2019

2:10 p.m.

BA6183

PhD Candidate: Li Chen

Supervisor: Michael Sigal

Thesis title: Macroscopic Electrostatics at Positive Temperature from the Density Functional Theory

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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 with 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 gives rise to the Poisson equation as an effective equation.

A copy of the thesis can be found here: LiChen_thesis

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