's' parameter for the Critical Hall parameter


The electrothermal instability (also known as the ionization instability) is a magnetohydrodynamic (MHD) instability appearing in magnetized non-thermal plasmas used in MHD converters. This instability is a turbulence of the electron gas in a non-equilibrium plasma (i.e. where the electron temperature Te is greatly higher than the overall gas temperature Tg). It arises when a magnetic field powerful enough is applied in such a plasma, reaching a critical Hall parameter βcr.

This formula calculates the 's’ parameter of the Critical Hall parameter.

Use this formula in combination with the other available “Critical Hall parameter” formulas.

Related formulas


s's' parameter (see : "Critical Hall parameter" formulas) (dimensionless)
kBoltzmann constant
TeThe electron temperature (K)
EiThe ionization energy (1.609e-19 J) (J)
TgThe overall gas temperature (K)