abstract

• We present a microscopic derivation of the space charge limited current for the motion of non-relativistic charged particles inside a parallel vacuum tube diode taking into account the radiation reaction force. We study the space charged limited current for two different limiting cases. Our results reveal that in the high field regime, the space charge current does not follow the Child-Langmuir law, while in the low field regime, the space charge current follows the Child-Langmuir law with an effective electrostatic field, i.e., the so-called modified Child-Langmuir law. © 2017 Author(s).

authors

• González Contreras Gabriel

publication date

• 2017-01-01

published in

• Physics of Plasmas  Journal

keywords

• Charged particles; Electron tubes; Charge current; Child-Langmuir law; High field; Limiting case; Radiation damping; Radiation reactions; Space charge limited currents; Space charged limited currents; Electric space charge

Digital Object Identifier (DOI)

• 10.1063/1.5010189

start page

end page

volume

• 24

issue

• 11