Lattice Boltzmann Model for Electronic Structure Simulations

TL;DR

This paper explores a lattice Boltzmann kinetic model for electronic structure calculations, connecting density functional theory with kinetic theory, and demonstrates its effectiveness through numerical simulations of molecules.

Contribution

It introduces a lattice Boltzmann approach to electronic structure simulations, providing a new computational framework linking DFT and kinetic theory.

Findings

Accurate calculation of exchange and correlation energies for atoms.

Successful geometrical configuration modeling of molecules like methane and water.

Proposed extensions for improved electronic structure computations.

Abstract

Recently, a new connection between density functional theory and kinetic theory has been proposed. In particular, it was shown that the Kohn-Sham (KS) equations can be reformulated as a macroscopic limit of the steady-state solution of a suitable single-particle kinetic equation. By using a discrete version of this new formalism, the exchange and correlation energies of simple atoms and the geometrical configuration of the methane molecule were calculated accurately. Here, we discuss the main ideas behind the lattice kinetic approach to electronic structure computations, offer some considerations for prospective extensions, and also show additional numerical results, namely the geometrical configuration of the water molecule.