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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…

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

We present a microscopic derivation of the space charge limited current for the motion of non-relativistic charged particles inside a parallel vacuum tube diode taking into account the radiation reaction force. We study the space charged…

Plasma Physics · Physics 2017-11-28 Gabriel Gonzalez

The maximum current that could be carried in a vacuum tube is given by the so-called Child Langmuir law. A scheme where this limit could be overcome via the pondermotive potential is proposed. The estimation shows that the limit could be…

Plasma Physics · Physics 2011-10-25 S. Son , S. J. Moon

We analyze the motion of charged particles in a vacuum tube diode using a new set of variables. We obtain the space charge limited current for a charged particle moving non-relativistically in one dimension for the case of zero and non zero…

Plasma Physics · Physics 2015-06-25 Gabriel Gonzalez , F. J. Gonzalez

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

Numerical solutions to the 1D steady-state Vlasov-Poisson system are used to develop a straightforward empirical formula for the electric current density transmitted through a vacuum diode (voltage gap) as a function of gap distance, gap…

Plasma Physics · Physics 2024-09-09 Jesse M. Snelling , Gregory R. Werner , John R. Cary

The maximum current in a vacuum tube prescribed by the classical Child-Langmuir law can be overcome, when the space-charge effect of the induced potential is mitigated by the mirror effect in a spatially varying magnetic field. The current…

Plasma Physics · Physics 2015-06-11 S. Son , Sung Joon Moon

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

It is shown using dimensional analysis that the maximum current density J_{QCL} transported on application of a voltage V_g across a gap of size D follows the relation J_{QCL} ~ \hbar^{3 - 2\alpha} V_g^\alpha /D^{5 - 2\alpha}. The classical…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Debabrata Biswas , Raghwendra Kumar

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

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

Drift space is a region free from externally applied fields. It is an important part of many devices involving charged particle beams. The space charge effect imposes a limit on the current that can be transported through a drift space. A…

Plasma Physics · Physics 2009-11-11 Debabrata Biswas , Raghwendra Kumar

We consider the limiting current from an emitting patch whose size is much smaller than the anode-cathode spacing. The limiting current is formulated in terms of an integral equation. It is solved iteratively, first to numerically recover…

Plasma Physics · Physics 2023-09-28 Y. Y. Lau , Dion Li , David P. Chernin

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

A vacuum photodiode driven by a pulsed laser can sustain an average current very similar to that of a continous diode, where the latter is described by Child's law.

Accelerator Physics · Physics 2007-05-23 Kirk T. McDonald

Although a superconductor has no DC losses, a superconducting system does have significant losses, especially when it comes to power supply. Here, we study two different power supply systems. The first, a conventional one, consists of a…

Rapid progress in electrically-controlled plasmonics in solids poses a question about effects of electronic reservoirs on the properties of plasmons. We find that plasmons in electronically open systems [i.e. in (semi)conductors connected…

Mesoscale and Nanoscale Physics · Physics 2020-12-03 Kirill Kapralov , Dmitry Svintsov

Between mirrors, the density of electromagnetic modes differs from the one in free space. This changes the radiation properties of an atom as well as the light forces acting on an atom. It has profound consequences in the strong-coupling…

Quantum Physics · Physics 2007-10-04 T. Puppe , I. Schuster , P. Maunz , K. Murr , P. W. H. Pinkse , G. Rempe

The kinematics laws of electrons motion in the volume of planar vacuum diode are obtained. The physically acceptable initial and boundary conditions for the regime of changing of current are presented. A new solution allowing diode…

General Physics · Physics 2011-12-14 Dimitar G. Stoyanov

We compute the free energy of the planar monomer-dimer model. Unlike the classical planar dimer model, an exact solution is not known in this case. Even the computation of the low-density power series expansion requires heavy and nontrivial…

Symbolic Computation · Computer Science 2017-09-13 Gleb Pogudin
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