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Theory of magnetic insulation

Phys. Fluids 17, 1263 (1974); doi:10.1063/1.1694876

Issue Date: June 1974

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R. V. Lovelace and Edward Ott
School of Applied and Engineering Physics, Department of Electrical Engineering, and Laboratory of Plasma Studies, Cornell University, Ithaca, New York 14850
An investigation is made of the behavior of a high voltage diode for the situation where the cathode-anode gap is initially filled with a transverse magnetic field. An exact relativistic self-consistent equilibrium is found for the electron sheath which is expected to form under the condition where the applied magnetic field is sufficiently strong to prevent electrons from flowing between the electrodes. The condition on the magnetic field for “insulation” is found to be (eB<sub>y</sub><sup>0</sup>d/mc2)2 > 2|eV0/mc2| + (eV0/mc2)2, where B<sub>y</sub><sup>0</sup> is the applied magnetic field, V0 is the voltage across the diode, d is the cathode-anode separation in the x direction, and —e and m are the electron charge and rest mass, respectively. ©1974 American Institute of Physics
History: Received 5 September 1973
Permalink: http://dx.doi.org/10.1063/1.1694876
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PUBLICATION DATA

ISSN:
0031-9171 (print)   1089-7666 (online)
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REFERENCES (15)
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  3. A. Mondelli (private communication) has recently informed us of a theoretical study of magnetic insulation undertaken by A. Ron, A. A. Mondelli, and N. Rostoker, IEEE Trans. Plasma Sci., PS-1, 85 (1973).
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