Circuital characterisation of space-charge motion with a time-varying applied bias

Chul Kim, Eun Yi Moon, Jungho Hwang, Hiki Hong

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Understanding the behaviour of space-charge between two electrodes is important for a number of applications. The Shockley-Ramo theorem and equivalent circuit models are useful for this; however, fundamental questions of the microscopic nature of the space-charge remain, including the meaning of capacitance and its evolution into a bulk property. Here we show that the microscopic details of the space-charge in terms of resistance and capacitance evolve in a parallel topology to give the macroscopic behaviour via a charge-based circuit or electric-field-based circuit. We describe two approaches to this problem, both of which are based on energy conservation: the energy-to-current transformation rule, and an energy-equivalence-based definition of capacitance. We identify a significant capacitive current due to the rate of change of the capacitance. Further analysis shows that Shockley-Ramo theorem does not apply with a time-varying applied bias, and an additional electric-field-based current is identified to describe the resulting motion of the space-charge. Our results and approach provide a facile platform for a comprehensive understanding of the behaviour of space-charge between electrodes.

Original languageEnglish
Article number11738
JournalScientific reports
Volume5
DOIs
Publication statusPublished - 2015 Jul 2

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space charge
capacitance
theorems
electrodes
electric fields
energy conservation
equivalent circuits
equivalence
topology
platforms
energy

All Science Journal Classification (ASJC) codes

  • General

Cite this

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abstract = "Understanding the behaviour of space-charge between two electrodes is important for a number of applications. The Shockley-Ramo theorem and equivalent circuit models are useful for this; however, fundamental questions of the microscopic nature of the space-charge remain, including the meaning of capacitance and its evolution into a bulk property. Here we show that the microscopic details of the space-charge in terms of resistance and capacitance evolve in a parallel topology to give the macroscopic behaviour via a charge-based circuit or electric-field-based circuit. We describe two approaches to this problem, both of which are based on energy conservation: the energy-to-current transformation rule, and an energy-equivalence-based definition of capacitance. We identify a significant capacitive current due to the rate of change of the capacitance. Further analysis shows that Shockley-Ramo theorem does not apply with a time-varying applied bias, and an additional electric-field-based current is identified to describe the resulting motion of the space-charge. Our results and approach provide a facile platform for a comprehensive understanding of the behaviour of space-charge between electrodes.",
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Circuital characterisation of space-charge motion with a time-varying applied bias. / Kim, Chul; Moon, Eun Yi; Hwang, Jungho; Hong, Hiki.

In: Scientific reports, Vol. 5, 11738, 02.07.2015.

Research output: Contribution to journalArticle

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