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Title: Linear analysis of time dependent properties of Child-Langmuir flow

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.4776690· OSTI ID:22113324
 [1]
  1. Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854-8019 (United States)

We continue our analysis of the time dependent behavior of the electron flow in the Child-Langmuir system, removing an approximation used earlier. We find a modified set of oscillatory decaying modes with frequencies of the same order as the inverse of the electron transient time. This range (typically MHz) allows simple experimental detection and maybe exploitation. We then study the time evolution of the current in response to a slow change of the anode voltage where the same modes of oscillations appear too. The cathode current in this case is systematically advanced or retarded depending on the direction of the voltage change.

OSTI ID:
22113324
Journal Information:
Physics of Plasmas, Vol. 20, Issue 1; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
Country of Publication:
United States
Language:
English