Estimation of a Mathematical Model for Theoretical Measuring of Plasma Electrons Mobility at Different Concentrations of He-Cu Mixture

Abstract

The current study presented data estimated from theoretical calculation which indicate the possibility of measuring the mobility of electrons based on the change in the resistance of plasma in a thermodynamic equilibrium situated in an electric field. The mobility of electrons present in decaying plasma were studied numerically in external electric field in the mixture of Helium-Copper (He:Cu) and under atmospheric pressure. The mobility of electrons at several mixture concentrations and varied reduced electric field has been calculated earlier using the solution of the Boltzmann equation. BOLSIG+ simulation method has been utilized in order to verify results obtained from Boltzmann distribution analysis. Analysis consisted of two steps: the first of which was the use of a reduced electric field limited between 0-20 Td; the second applying of reduced electric field limited between 20-100 Td. Results are shown high matching between the introduced/estimated model and the original model with mean square error in the range of (0.0001) for the first part and (0.0005) for the second part.