Convergence Rates from Yukawa to Coulomb Interaction in the Thomas-Fermi-von Weizsäcker Model

Abstract

We establish uniform convergence, with explicit rate, of the solution to the Thomas--Fermi--von Weizsäcker (TFW) Yukawa model to the solution of the TFW Coulomb model, for general condensed nuclear configurations. As a consequence, we show the convergence of forces from the Yukawa to the Coulomb model. These results rely on an extension of Nazar \& Ortner (2015) to the Yukawa setting. Auxiliary results of independent interest shown also include new existence, uniqueness and stability results for the Yukawa ground state.

References in corpus (4)

• Energy density in density functional theory: Application to crystalline defects and surfaces
• Analysis of Boundary Conditions for Crystal Defect Atomistic Simulations
• The reduced Hartree-Fock model for short-range quantum crystals with defects
• Locality of the Thomas-Fermi-von Weizsäcker Equations

Cited by in corpus (1)

• Locality of the Thomas-Fermi-von Weizsäcker Equations