Particle Propagation and Electron Transport in Gases

Abstract

In this review, we detail the commonality of mathematical intuitions that underlie three numerical methods used for the quantitative description of electron swarms propagating in a gas under the effect of externally applied electric and/or magnetic fields. These methods can be linked to the integral transport equation, following a common thread much better known in the theory of neutron transport than in the theory of electron transport. First, we discuss the exact solution of the electron transport problem using Monte Carlo (MC) simulations. In reality we will go even further, showing the interpretative role that the diagrams used in quantum theory and quantum field theory can play in the development of MC. Then, we present two methods, the Monte Carlo Flux and the Propagator method, which have been developed at this moment. The first one is based on a modified MC method, while the second shows the advantage of explicitly applying the mathematical idea of propagator to the transport problem.

The spark of life: discharge physics as a key aspect of the Miller–Urey experiment

“…The energy spectrum, also known as electron energy distribution function (EEDF), determines the rate of ionization and dissociation and therefore the formation of radicals. It can be calculated with various numerical methods which have common roots in the Boltzmann transport equation: the celebrated equation formulated 150 years ago, and which provides the very foundation of the kinetic theory of gases [6,7].…”