WebThe widely used Child-Langmuir law for sheath thickness evaluation in semi-infinite collisionless plasmas makes the assumptions of quasi-neutrality (n/sub e/=n/sub i/) and zero electric field intensity E=0 at the sheath edge, as well as applying the Bohm criterion for ions entering the sheath. However, through a whole region fluid model, Poisson's equation … The Mott–Gurney law offers some crucial insight into charge-transport across an intrinsic semiconductor, namely that one should not expect the drift current to increase linearly with the applied voltage, i.e., from Ohm's law, as one would expect from charge-transport across a metal or highly doped … See more Space charge is an interpretation of a collection of electric charges in which excess electric charge is treated as a continuum of charge distributed over a region of space (either a volume or an area) rather than … See more Physical explanation When a metal object is placed in a vacuum and is heated to incandescence, the energy is … See more In vacuum (Child's law) First proposed by Clement D. Child in 1911, Child's law states that the space-charge-limited current (SCLC) in a plane-parallel vacuum diode varies directly as the three-halves power of the anode voltage $${\displaystyle V}$$ and … See more Space charge is an inherent property of all vacuum tubes. This has at times made life harder or easier for electrical engineers who used tubes in their designs. For example, space … See more Space charge tends to reduce shot noise. Shot noise results from the random arrivals of discrete charge; the statistical variation in the … See more • Thermionic emission • Vacuum tube • Grid leak See more
Child–Langmuir law - Wiley Online Library
WebMar 18, 1991 · Using a simple mean-field model of the electron-electron interaction, we have studied the effect of space charge in a planar diode. Our results show, in particular, that the classical value for the limiting current in such a diode can be exceeded by a large factor due to the effect of tunneling. The smooth transition of the solutions from the quantum to the … WebMinor (law) In law, a minor is someone under a certain age, usually the age of majority, which demarcates an underage individual from legal adulthood. The age of majority … hattiesburg clinic laurel mississippi
Ultrafast and nanoscale diodes Journal of Plasma Physics
WebAccording to the Child-Langmuir law [2,3], the current density. is emitted at the virtual electrode. For making the model consistent, the emission gap, i. e. the region between real and virtual cathode, is filled up with artificial space charge that … WebJun 21, 2024 · The basic models for these processes (TE, PE, PE, SCLE) have been formulated many decades ago, known as the Richardson law, Child-Langmuir (CL) law, Fowler-Nordheim (FN) law, and the Keldysh model, etc. With the development of two-dimensional (2D) atomic scale materials in the 2000’s, the above-mentioned classical … WebNov 5, 2024 · Relevant Equations. I = k V^ (3/2) hi guys. i was trying to understand the derivation of the child Langmuir law that govern the current flow between the two plates … hattiesburg clinic orthopedic