Electron inertia effects for an electron fluid model by the applied-B ion diode

In the framework of the one-dimensional vortex-like electron fluid model in applied-B ion diodes (see [1]) the numerical calculations are presented, where the electron inertia effects are taken into account. The existence of the additional relation between the magnetic field and the electric potential gives a possibility to reduce the ion diode problem to the system of the algebraic equations for the constants introduced. The ion current density in an ion diode is determined only by the magnetic flux cut out by the virtual cathode. As an illustration, the ion diode impedance for the KALIF device is calculated.