Maximum time-dependent space-charge limited diode currents

M. E. Griswold; N. J. Fisch

doi:10.1063/1.4939607

Maximum time-dependent space-charge limited diode currents

M. E. Griswold, N. J. Fisch

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

Recent papers claim that a one dimensional (1D) diode with a time-varying voltage drop can transmit current densities that exceed the Child-Langmuir (CL) limit on average, apparently contradicting a previous conjecture that there is a hard limit on the average current density across any 1D diode, as t → ∞, that is equal to the CL limit. However, these claims rest on a different definition of the CL limit, namely, a comparison between the time-averaged diode current and the adiabatic average of the expression for the stationary CL limit. If the current were considered as a function of the maximum applied voltage, rather than the average applied voltage, then the original conjecture would not have been refuted.

Original language	English (US)
Article number	014502
Journal	Physics of Plasmas
Volume	23
Issue number	1
DOIs	https://doi.org/10.1063/1.4939607
State	Published - Jan 1 2016

All Science Journal Classification (ASJC) codes

Condensed Matter Physics

Access to Document

10.1063/1.4939607

Cite this

@article{baad05ae505d4aa69d2658cbd8a9150b,

title = "Maximum time-dependent space-charge limited diode currents",

abstract = "Recent papers claim that a one dimensional (1D) diode with a time-varying voltage drop can transmit current densities that exceed the Child-Langmuir (CL) limit on average, apparently contradicting a previous conjecture that there is a hard limit on the average current density across any 1D diode, as t → ∞, that is equal to the CL limit. However, these claims rest on a different definition of the CL limit, namely, a comparison between the time-averaged diode current and the adiabatic average of the expression for the stationary CL limit. If the current were considered as a function of the maximum applied voltage, rather than the average applied voltage, then the original conjecture would not have been refuted.",

author = "Griswold, \{M. E.\} and Fisch, \{N. J.\}",

note = "Publisher Copyright: {\textcopyright} 2016 AIP Publishing LLC.",

year = "2016",

month = jan,

day = "1",

doi = "10.1063/1.4939607",

language = "English (US)",

volume = "23",

journal = "Physics of Plasmas",

issn = "1070-664X",

publisher = "American Institute of Physics",

number = "1",

}

TY - JOUR

T1 - Maximum time-dependent space-charge limited diode currents

AU - Griswold, M. E.

AU - Fisch, N. J.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - Recent papers claim that a one dimensional (1D) diode with a time-varying voltage drop can transmit current densities that exceed the Child-Langmuir (CL) limit on average, apparently contradicting a previous conjecture that there is a hard limit on the average current density across any 1D diode, as t → ∞, that is equal to the CL limit. However, these claims rest on a different definition of the CL limit, namely, a comparison between the time-averaged diode current and the adiabatic average of the expression for the stationary CL limit. If the current were considered as a function of the maximum applied voltage, rather than the average applied voltage, then the original conjecture would not have been refuted.

AB - Recent papers claim that a one dimensional (1D) diode with a time-varying voltage drop can transmit current densities that exceed the Child-Langmuir (CL) limit on average, apparently contradicting a previous conjecture that there is a hard limit on the average current density across any 1D diode, as t → ∞, that is equal to the CL limit. However, these claims rest on a different definition of the CL limit, namely, a comparison between the time-averaged diode current and the adiabatic average of the expression for the stationary CL limit. If the current were considered as a function of the maximum applied voltage, rather than the average applied voltage, then the original conjecture would not have been refuted.

UR - https://www.scopus.com/pages/publications/84954184370

UR - https://www.scopus.com/inward/citedby.url?scp=84954184370&partnerID=8YFLogxK

U2 - 10.1063/1.4939607

DO - 10.1063/1.4939607

M3 - Article

AN - SCOPUS:84954184370

SN - 1070-664X

VL - 23

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 1

M1 - 014502

ER -

Maximum time-dependent space-charge limited diode currents

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this