A Lorentz formulation for an electron gas using the Gas Kinetic Method

Eduardo de Carli da Silva¹; Diogo Nardelli Siebert¹; Juan Pablo de Lima Costa Salazar¹; Luis Orlando Emerich dos Santos¹; Paulo Cesar Philippi¹; Steven Anderson²; Sharath S. Girimaji²

¹ Universidade Federal de Santa Catarina; ² Texas A&M University

doi:10.20906/CPS/COB-2015-2665

Resumo

This work outlines efforts in the theoretical development of the connection between electron gas equations and the Boltzmann equation using the Gas Kinetic Method - GKM. The relationship between the Boltzmann equation and electron gas equation is reviewed and the corresponding relationship between the Boltzmann equation with the Lorentz force is explored. The Boltzmann equation is discussed with respect to the nature of the body force term (the Lorentz force). The consequences of this choice regarding the accuracy of the physical phenomena captured is discussed. The importance of introducing the Lorentz force in the GKM formulation is highlighted.

Palavras-chave: gas kinetic method; Lorentz force; Boltzmann equation; electron gas