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

Friday, July 26, 2019
2:10 p.m.

PhD Candidate:  Li Chen
Supervisor:   Michael Sigal
Thesis title:  Macroscopic Electrostatics at Positive Temperature from the Density Functional Theory


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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