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Geometry dependence of 2-dimensional space-charge-limited currents

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Abstract
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 space-charge-limited current can only be sustained if the emitting electrode induces a singularity in the field and if the singularity induced by the collecting electrode is not too strong. For those lay-outs where no space-charge-limited current can be sustained for a zero thickness film, the real thickness of the film must be taken into account using a numerical model.
Keywords
Mott-Gurney law, Space-charge limited current, Conformal mapping, Monolayers, Thin films

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Citation

Please use this url to cite or link to this publication:

MLA
De Visschere, Patrick. “Geometry Dependence of 2-dimensional Space-charge-limited Currents.” JOURNAL OF ELECTROSTATICS 84 (2016): 81–89. Print.
APA
De Visschere, Patrick. (2016). Geometry dependence of 2-dimensional space-charge-limited currents. JOURNAL OF ELECTROSTATICS, 84, 81–89.
Chicago author-date
De Visschere, Patrick. 2016. “Geometry Dependence of 2-dimensional Space-charge-limited Currents.” Journal of Electrostatics 84: 81–89.
Chicago author-date (all authors)
De Visschere, Patrick. 2016. “Geometry Dependence of 2-dimensional Space-charge-limited Currents.” Journal of Electrostatics 84: 81–89.
Vancouver
1.
De Visschere P. Geometry dependence of 2-dimensional space-charge-limited currents. JOURNAL OF ELECTROSTATICS. Elsevier; 2016;84:81–9.
IEEE
[1]
P. De Visschere, “Geometry dependence of 2-dimensional space-charge-limited currents,” JOURNAL OF ELECTROSTATICS, vol. 84, pp. 81–89, 2016.
@article{8104174,
  abstract     = {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 space-charge-limited current can only be sustained if the emitting electrode induces a singularity in the field and if the singularity induced by the collecting electrode is not too strong. For those lay-outs where no space-charge-limited current can be sustained for a zero thickness film, the real thickness of the film must be taken into account using a numerical model.},
  author       = {De Visschere, Patrick},
  issn         = {0304-3886},
  journal      = {JOURNAL OF ELECTROSTATICS},
  keywords     = {Mott-Gurney law,Space-charge limited current,Conformal mapping,Monolayers,Thin films},
  language     = {eng},
  pages        = {81--89},
  publisher    = {Elsevier},
  title        = {Geometry dependence of 2-dimensional space-charge-limited currents},
  url          = {http://dx.doi.org/10.1016/j.elstat.2016.09.005},
  volume       = {84},
  year         = {2016},
}

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