A novel approach to the Child-Langmuir law
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 initial velocity without solving a nonlinear differential equation. We introduce what we call the microscopic Child-Langmuir law which is valid for the classical and relativistic cases that allows to determine the space charge limited current without solving a nonlinear differential equation.
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Sociedad Mexicana de Física
2017
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1870-35422017000200083 |
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oai:scielo:S1870-354220170002000832019-05-02A novel approach to the Child-Langmuir lawGonzález,G.González,F.J. Child-Langmuir law Mott-Gurney Law space charge current 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 initial velocity without solving a nonlinear differential equation. We introduce what we call the microscopic Child-Langmuir law which is valid for the classical and relativistic cases that allows to determine the space charge limited current without solving a nonlinear differential equation.info:eu-repo/semantics/openAccessSociedad Mexicana de FísicaRevista mexicana de física E v.63 n.2 20172017-12-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1870-35422017000200083en |
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México |
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MX |
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revista |
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America del Norte |
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| language |
English |
| format |
Digital |
| author |
González,G. González,F.J. |
| spellingShingle |
González,G. González,F.J. A novel approach to the Child-Langmuir law |
| author_facet |
González,G. González,F.J. |
| author_sort |
González,G. |
| title |
A novel approach to the Child-Langmuir law |
| title_short |
A novel approach to the Child-Langmuir law |
| title_full |
A novel approach to the Child-Langmuir law |
| title_fullStr |
A novel approach to the Child-Langmuir law |
| title_full_unstemmed |
A novel approach to the Child-Langmuir law |
| title_sort |
novel approach to the child-langmuir law |
| description |
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 initial velocity without solving a nonlinear differential equation. We introduce what we call the microscopic Child-Langmuir law which is valid for the classical and relativistic cases that allows to determine the space charge limited current without solving a nonlinear differential equation. |
| publisher |
Sociedad Mexicana de Física |
| publishDate |
2017 |
| url |
http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1870-35422017000200083 |
| work_keys_str_mv |
AT gonzalezg anovelapproachtothechildlangmuirlaw AT gonzalezfj anovelapproachtothechildlangmuirlaw AT gonzalezg novelapproachtothechildlangmuirlaw AT gonzalezfj novelapproachtothechildlangmuirlaw |
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