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Related papers: Space-charge-limited current density for nonplanar…

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The space-charge limited current (SCLC) in a vacuum diode is given by the Child-Langmuir law (CLL), whose electric potential $\varphi(x) = (\it{x/D})^{4/3}$, where x is the spatial coordinate across the gap and D is the gap separation…

Plasma Physics · Physics 2025-04-21 Allen L. Garner , N. R. Sree Harsha

Recent studies have applied variational calculus, conformal mapping, and point transformations to generalize the one-dimensional (1D) space-charge limited current density (SCLCD) and electron emission mechanisms to nonplanar geometries;…

Applied Physics · Physics 2025-07-21 Allen L. Garner , N. R. Sree Harsha , Amanda M. Loveless

Recent studies have applied variational calculus, conformal mapping, and point transformations to extend the one-dimensional SCLC from planar gaps to more complicated geometries. However, introducing a magnetic field orthogonal to the…

Plasma Physics · Physics 2025-08-04 Jack K. Wright , N. R. Sree Harsha , Allen L. Garner

Space-charge-limited (SCL) current density for time-invariant injection (under long-pulse condition) via the diode cathode is the maximum transportable density, while it can be leveraged higher when the injection pulselength becomes shorter…

Plasma Physics · Physics 2026-02-11 H. Huang , Y. Liu

Conventionally, space-charge (SC) limited current density is defined as the maximal cur- rent density allowed to traverse a diode under a DC voltage when a time-invariant flow is injected from the cathode. In this work, we study the SC…

Plasma Physics · Physics 2017-09-19 Yangjié Liu , Qi Tang , Biyi Wu

The maximum current that can be transported across a vacuum diode is limited by forces arising due to space charge. In a planar diode configuration, the space charge limited (SCL) current density from a planar emitting patch is given by the…

Plasma Physics · Physics 2021-12-10 Gaurav Singh , Raghwendra Kumar , Debabrata Biswas

An approximate analytic solution is constructed for the 2-d space charge limited emission by a cathode surrounded by non emitting conducting ledges of width Lambda. An essentially exact solution (via conformal mapping) of the electrostatic…

Plasma Physics · Physics 2009-11-10 A. Rokhlenko , Joel L. Lebowitz

We consider the steady state limiting current that can be carried by an infinite periodic array of thin electron sheets spaced by period p in a planar diode of gap voltage V and gap separation d. Our primary assumptions are (1) electron…

Plasma Physics · Physics 2023-11-14 David Chernin , Dion Li , Y. Y. Lau

We simulate numerically the classical charge dynamics in a microscopic, planar, vacuum diode with a finite emitter area and a finite number of electrons in the gap. We assume electrons are emitted under space-charge limited conditions with…

Accelerator Physics · Physics 2020-12-15 Johannes Bergur Gunnarsson , Kristinn Torfason , Andrei Manolescu , Agust Valfells

The Child-Langmuir law relates the voltage applied across a planar diode to the saturation value J_CL of current density that can be transmitted through it in case the injection velocity of electrons into the diode is zero. The…

Plasma Physics · Physics 2009-11-10 R. R. Puri , Debabrata Biswas , Raghwendra Kumar

The space-charge-limited current in a zero thickness planar thin film depends on the geometry of the electrodes. We present a theory which is to a large extent analytical and applicable to many different lay-outs. We show that a…

Classical Physics · Physics 2016-09-28 Patrick De Visschere

An approximate analytic theory is developed and implemented numerically for calculating the space charge limited current and electric field of a thin cylindrical beam or current sheet between two wide parallel electrodes. The flow is…

Plasma Physics · Physics 2009-11-10 A. Rokhlenko , J. L. Lebowitz

It is widely assumed that thermionic current flow through a plasma is limited by a "space-charge limited" (SCL) cathode sheath that consumes the hot cathode's negative bias and accelerates upstream ions into the cathode. Here, we formulate…

Plasma Physics · Physics 2018-04-25 Michael D. Campanell

Based on the assumption that the contact barrier height determines the current flow in organic semiconductor-based electronic devices, charge injection at metal-organic (MO) interfaces has been extensively investigated, while space-charge…

Materials Science · Physics 2009-10-08 Yi Zheng , Andrew T. S. Wee , Cedric Troadec , N. Chandrasekhar

Space Charge Limited Current (SCLC) based conduction has been identified for PCMO-based RRAM devices based on the observation that $I \propto V^{\alpha}$ where $\alpha \approx 2$. A critical feature of the IV characteristics is a sharp rise…

Materials Science · Physics 2016-05-30 I. Chakraborty , N. Panwar , A. Khanna , U. Ganguly

In this paper we analyze the motion of charged particles in a vacuum tube diode by solving linear differential equations. Our analysis is based on expressing the volume charge density as a function of the current density and coordinates…

Plasma Physics · Physics 2019-02-20 Gabriel Gonzalez , Fco. Javier Gonzalez Orozco

A one-dimensional (1D) model has been constructed to study the transition of the time-dependent ultrafast laser photo-electron emission from a flat metallic surface to the space charge limited (SCL) current, including the effect of…

Plasma Physics · Physics 2024-03-12 Yangjie Liu , L. K. Ang

The space charge limit (SCL) of emission from photocathodes sets an upper limit on the performance of both high- and low-field electron guns. Generally, one is forced to strike a compromise between the space charge limit and the cathode's…

Accelerator Physics · Physics 2019-08-28 David H. Dowell

Superconducting diodes promise dissipation-less rectification, yet intrinsic platforms invariably have very low efficiencies. We reveal a fundamental thermodynamic origin of this behavior that is independent of microscopic details. Denoting…

Superconductivity · Physics 2025-12-29 Pavan Hosur

All-solid-state batteries are seen as promising candidates to replace conventional batteries with liquid electrolytes in many applications. However, they are not yet feasible for many relevant applications. One particular question of…

Chemical Physics · Physics 2023-07-06 Stephan Sinzig , Thomas Hollweck , Christoph P. Schmidt , Wolfgang A. Wall
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