A new approach to the Child-Langmuir law

2015/06/24 by Gabriel Gonzalez, Gabriel González, Gonzalez, Gabriel +3
Engineering · Physics and Astronomy · #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Lightning and Electromagnetic Phenomena #Plasma Physics (physics.plasm-ph) #Vacuum and Plasma Arcs #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1506.07417

arXiv admin note: substantial text overlap with arXiv:1303.2101

arxiv created 2015/06/24 · openalex publication_date 2015/06/24 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the motion of charged particles in a vacuum tube diode using a new set of variables. We obtain the space charge limited current for a charged particle moving non-relativistically in one dimension for the case of zero and non zero initial velocity. Our approach gives a new physical insight into the Child-Langmuir law and avoids the need of solving a nonlinear differential equation.

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