从场辐射过渡到碰撞空间电荷有限的电流与非零初始速度
Lorin I Breen1,2, Amanda M Loveless3, Adam M Darr3,4
1School of Health Sciences, Purdue University, West Lafayette, IN, 47907, USA.
Scientific reports
|September 4, 2023
概括
这项研究统一了电子设备的热电辐射 (RLD),场辐射 (FN) 和空间电荷有限电流 (SCLC) 规律 (CL和MG). 它为电流密度提供了一个新的精确解决方案,适用于各种条件.
科学领域:
- 物理 物理学 物理
- 材料科学 材料科学 材料科学
- 电气工程 电气工程
背景情况:
- 设备中的电子辐射涉及多种机制,如热电和场辐射.
- 现有的模型统一了一些排放类型,但缺乏对非零注入速度的碰撞间隙的综合方法.
- 空间电荷有限电流 (SCLC) 对于设备性能至关重要,Child-Langmuir (CL) 和Mott-Gurney (MG) 规律分别描述真空和碰撞场景.
研究的目的:
- 为电子发射制定一个统一的理论框架,整合热离子发射 (Richardson-Laue-Dushman - RLD),电场发射 (Fowler-Nordheim - FN) 和空间电荷有限电流 (SCLC) 规律 (Child-Langmuir - CL和Mott-Gurney - MG).
- 为碰撞间隙中的电流密度提供精确的分析解决方案,考虑到非零的注入速度 (温度),移动性和间隙距离.
- 在不同的条件下分析一般化Mott-Gurney (GMG) 和一般化Child-Langmuir (GCL) 定律的行为及其与FN发射的关系.
主要方法:
- 精确计算电流密度作为应用电压,注入速度,移动性和间隙距离的函数.
- 从第一原理推导出一般化查尔德 - 朗穆尔 (GCL) 和一般化莫特 - 格尼 (GMG) 定律.
- 对限制案例的分析,以显示与已建立的RLD,FN,CL和MG方程的趋同.
主要成果:
- 给出了当前密度的确切解决方案,统一了RLD,FN,CL和MG的排放机制.
- 推导出一般化的Mott-Gurney (GMG) 定律,显示它在低电压和非零初始速度的移动性时接近零,确保空间电荷限制.
- 福勒-诺德海姆 (FN) 辐射和空间电荷有限电流 (GMG和GCL) 之间的关系被证明在广泛的电压范围内是一致的,即使初始速度不同于零.
结论:
- 开发的模型提供了对碰撞间隙中的电子发射的统一描述,适用于低电压到高电压.
- 这些发现为理解和优化具有碰撞间隙的设备中的热离子辐射提供了指导.
- 精确的解决方案有助于精确建模电子传输和设备性能,当多个排放机制存在.
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