## Abstract

A one-dimensional model of an applied-B ion diode filled with magnetized electrons is considered. The screening length r_{B} ≃ B/4πen_{e} of the electric field is assumed to be on the order of the collisionless electron skin depth c/ω_{pe}. The electrons are described in cold relativistic hydrodynamics. It is assumed that equalizing the Lagrange invariant l = Ω/n_{e}, where Ω is the electron vorticity and n_{e} is the electron density, leads to an equilibrium state in which l = const. Under this assumption, an additional relation between the magnetic field and electric potential is derived, which allows one to reduce the problem of calculating the ion-diode current to solving a set of algebraic equations for the introduced constants. The results of calculations are compared with the experimental results obtained in the KALIF device (Forschungszentrum Karlsruhe, Germany). The theory proposed predicts a peak of the electron density profile in the vicinity of the anode surface, which is in excellent agreement with recent measurements.

Original language | English |
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Pages (from-to) | 193-201 |

Number of pages | 9 |

Journal | Plasma Physics Reports |

Volume | 25 |

Issue number | 3 |

Publication status | Published - Mar 1999 |

Externally published | Yes |