Derived Parameter: Pedersen Conductivities

Pedersen Conductivities

The Pedersen conductivity is along the perpendicular component of E.

$\sigma _{PX}=\frac{\sigma _{\parallel}\nu_X^2}{\nu_X^2+\omega _{cX}^2}$
where $\sigma _{\parallel }=\frac{n_Xe^2}{m_X\nu _X}$

where m_X is the mass of the particle.

$\textup{j}= \underline{\sigma}\textup{E, where } \underline{\sigma} =\begin{pmatrix} \sigma_P & -\sigma_H & 0 \\ \sigma_H & \sigma_P & 0 \\ 0 & 0 & \sigma_0 \end{pmatrix}$

Electrons
Protons