轴对称腔二极管中有限注入电流的不饱和性
Absence of saturation for finite injected currents in axially symmetric cavity diode
摘要:
利用完全电磁粒子网格程序对封闭轴对称二极管的Child-Langmuir定律进行了数值研究。结果表明,在非相对论和相对论两种情况下,即使在形成虚阴极后,传输到阳极的平均电流也随着注入电流的增加而增加。发现这种增长是幂律的。换句话说,到达阳极的电子的时间平均分数$f$随输入电流变化,其中$f\sim J_{\rm IN}^{-β}$为$β< 1$。相反,对于无限大平行板二极管,$f \sim J_{\rm IN}^{-1}$ .文中还讨论了渐近饱和的可能性。
英文摘要:
The Child-Langmuir law is investigated numerically using a fully electromagnetic particle-in-cell code for a closed axially symmetric diode. It is found that the average current transmitted to the anode increases with the injected current even after the formation of virtual cathode in both the non-relativistic and relativistic cases. The increase is found to be a power law. In other words, the time averaged fraction $f$ of electrons reaching the anode varies with the input current as, $f\sim J_{\rm IN}^{-β}$ where $β< 1$. In contrast, for an infinite parallel plate diode, $f \sim J_{\rm IN}^{-1}$. The possibility of asymptotic saturation is also discussed.
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