Maximum time-dependent space-charge limited diode currents

M. E. Griswold, N. J. Fisch

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Recent papers claim that a one dimensional (1D) diode with a time-varying voltage drop can transmit current densities that exceed the Child-Langmuir (CL) limit on average, apparently contradicting a previous conjecture that there is a hard limit on the average current density across any 1D diode, as t → ∞, that is equal to the CL limit. However, these claims rest on a different definition of the CL limit, namely, a comparison between the time-averaged diode current and the adiabatic average of the expression for the stationary CL limit. If the current were considered as a function of the maximum applied voltage, rather than the average applied voltage, then the original conjecture would not have been refuted.

Original languageEnglish (US)
Article number014502
JournalPhysics of Plasmas
Issue number1
StatePublished - Jan 1 2016

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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