@article{a13bdbf2c31e491ab5f096ca3d9204d4,
title = "Two-dimensional electromagnetic Child-Langmuir law of a short-pulse electron flow",
abstract = "Two-dimensional electromagnetic particle-in-cell simulations were performed to study the effect of the displacement current and the self-magnetic field on the space charge limited current density or the Child-Langmuir law of a short-pulse electron flow with a propagation distance L of and an emitting width of W from the classical regime to the relativistic regime. Numerical scaling of the two-dimensional electromagnetic Child-Langmuir law was constructed and it scales with (L/W) and (L/W)2 at the classical and relativistic regimes, respectively. Our findings reveal that the displacement current can considerably enhance the space charge limited current density as compared to the well-known two-dimensional electrostatic Child-Langmuir law even at the classical regime.",
author = "Chen, {S. H.} and Tai, {L. C.} and Liu, {Y. L.} and Ang, {L. K.} and Koh, {W. S.}",
note = "Funding Information: The work was supported by the National Science Council under Grant No. NSC 98-2112-M-008-006-MY3. The research was also supported by the Center for Computational Geophysics of NCU, CCG (Contribution No. NUC-CCG99-0001). The authors would like to acknowledge the National Center for High-Performance Computing in providing resources under the national project “Taiwan Knowledge Innovation National Grid” and the support by the National Center for Theoretical Sciences, Taiwan, ROC. One of us (A.L.K.) would also like to acknowledge the support of Singapore MOE (Grant No. 2008-T2-1-033) and USA AFOSR (Grant No. AOARD 10-4110).",
year = "2011",
month = feb,
doi = "10.1063/1.3553451",
language = "???core.languages.en_GB???",
volume = "18",
journal = "Physics of Plasmas",
issn = "1070-664X",
number = "2",
}