Beyond the Child-Langmuir limit

Caflisch, R. E.; Rosin, M. S.

doi:10.1103/PhysRevE.85.056408

Title: Beyond the Child-Langmuir limit

Full Record
Other Related Research

Authors:: Caflisch, R. E.; Rosin, M. S.

Publication Date:: Fri May 18 00:00:00 EDT 2012

Sponsoring Org.:: USDOE

OSTI Identifier:: 1104084

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review E

Additional Journal Information:: Journal Volume: 85; Journal Issue: 5; Journal ID: ISSN 1539-3755

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Caflisch, R. E., and Rosin, M. S. Beyond the Child-Langmuir limit.  United States: N. p., 2012. 
Web.  doi:10.1103/PhysRevE.85.056408.

Copy to clipboard


                    Caflisch, R. E., & Rosin, M. S. Beyond the Child-Langmuir limit.  United States.  https://doi.org/10.1103/PhysRevE.85.056408

Copy to clipboard


                    Caflisch, R. E., and Rosin, M. S. Fri .  
"Beyond the Child-Langmuir limit".  United States.  https://doi.org/10.1103/PhysRevE.85.056408.

Copy to clipboard


                    
@article{osti_1104084,

  title        = {Beyond the Child-Langmuir limit},

  author       = {Caflisch, R. E. and Rosin, M. S.},

  abstractNote = {},

  doi          = {10.1103/PhysRevE.85.056408},

  journal      = {Physical Review E},

  number       = 5,

  volume       = 85,

  place        = {United States},

  year         = {Fri May 18 00:00:00 EDT 2012},

  month        = {Fri May 18 00:00:00 EDT 2012}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevE.85.056408

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 20 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Extension of the Child-Langmuir Law to a Beam of Particles Having an Initial Velocity; EXTENSION DE LA LOI DE CHILD LANGMUIR A UN FAISCEAU DE PARTICULES ANIME D'UNE VITESSE DIRIGEE

Technical Report Geller, R
Simple solutions for relativistic generalizations of the Child-Langmuir law and the Langmuir-Blodgett law

Journal Article Yongpeng, Zhang ; Northwest Institute of Nuclear Technology, P.O. Box 69-13, Xi'an 710024 ; Guozhi, Liu ; ... - Physics of Plasmas

In this paper, the Child-Langmuir law and Langmuir-Blodgett law are generalized to the relativistic regime by a simple method. Two classical laws suitable for the nonrelativistic regime are modified to simple approximate expressions applicable for calculating the space-charge-limited currents of one-dimensional steady-state planar diodes and coaxial diodes under the relativistic regime. The simple approximate expressions, extending the Child-Langmuir law and Langmuir-Blodgett law to fit the full range of voltage, have small relative errors less than 1% for one-dimensional planar diodes and less than 5% for coaxial diodes.
https://doi.org/10.1063/1.3124135
Three-dimensional Child-Langmuir law for uniform hot electron emission

Journal Article Koh, W S ; Ang, L K ; Kwan, T J.T. ; ... - Physics of Plasmas

This paper presents a three-dimensional (3D) model of Child-Langmuir (CL) law for uniform hot electron emission in planar and cylindrical gap, including the effects of finite emission energy. It is found that the enhancement of 3D CL law (in terms of 1D CL law) can be written in a general form of J{sub C}[3D]/J{sub C}[1D]=1+FxG, where F is the normalized mean position of 1D electron flow in classical, weakly relativistic, and quantum regime, and G is the geometrical correction factor depending on the geometrical properties of the finite emitting patches on the cathode. In particular, we present the analytical solutionsmore »« less
https://doi.org/10.1063/1.1913612
Linear analysis of time dependent properties of Child-Langmuir flow

Journal Article Rokhlenko, A. - Physics of Plasmas

We continue our analysis of the time dependent behavior of the electron flow in the Child-Langmuir system, removing an approximation used earlier. We find a modified set of oscillatory decaying modes with frequencies of the same order as the inverse of the electron transient time. This range (typically MHz) allows simple experimental detection and maybe exploitation. We then study the time evolution of the current in response to a slow change of the anode voltage where the same modes of oscillations appear too. The cathode current in this case is systematically advanced or retarded depending on the direction of themore » voltage change.« less
https://doi.org/10.1063/1.4776690
Generalization of the Child-Langmuir law to the alternate extraction of positive and negative ions

Journal Article Lafleur, T., E-mail: trevor.lafleur@lpp.polytechnique.fr ; ONERA-The French Aerospace Lab, 91120 Palaiseau ; Aanesland, A. - Physics of Plasmas

Using a combined analytical and simulation approach, we investigate positive and negative ion extraction between two electrodes from an ion-ion plasma source. With a square voltage waveform applied to the electrodes, we obtain approximate analytical solutions for the time-averaged extracted current densities, which are given simply by: J{sub p}{sup ac}=[α−fL√((M{sub p})/(q{sub p}V{sub 0}) )]J{sub p}{sup dc}, and J{sub n}{sup ac}=[(1−α)−fL√((M{sub n})/(q{sub n}V{sub 0}) )]J{sub n}{sup dc}, where J{sup ac} is the time-averaged current density, α is the square waveform duty cycle, f is the frequency, L is the electrode gap length, M is the ion mass, q is the ionmore »« less
https://doi.org/10.1063/1.4903850

Similar Records