Inter-comparison of calculation techniques of the electron Boltzmann equation for the analysis of swarm parameters in CO$_{\mathrm{2}}$

The plasma-based CO$_{\mathrm{2}}$ conversion is a promising route for achieving the reduction of fossil fuel consumption and of CO$_{\mathrm{2}}$ emission. An accurate description of the electron kinetics by solving the electron Boltzmann equation (EBE) is necessary for this application. This work is dedicated to the inter-comparison between various calculation techniques of the EBE (two-term, multi-term and space gradients of the electron density) and the Monte-Carlo reference technique for the analysis of swarm parameters and their comparison with previously available and present experimental data. We adopt the complete set of electron--impact cross sections for CO$_{\mathrm{2}}$, to be published on the IST-LISBON database with LXCat. Results show that despite the fact that the IST-LISBON cross sections were derived to fit measured swarm parameters when used in a two-term expansion Boltzmann code, good agreement with the other solution and simulation techniques is generally obtained for the electron swarm parameters under consideration.