scholarly journals Hydrodynamic Hamilton theory for discussing the space charge (Langmuir–Child Law) at high density particle currents between poles

1988 ◽  
Vol 6 (3) ◽  
pp. 579-586 ◽  
Author(s):  
Cord Passow
Keyword(s):  
Space Charge ◽  
Charge Carriers ◽  
The Self ◽  
Density Functions ◽  
Space Charge Limited Current ◽  
Stationary Plasma ◽  
Self Consistent ◽  
Solution Methods ◽  
Background Gas ◽  
Systematic Derivation

In order to calculate more generally the space-charge limited current between two points of different voltage, modern differential geometrical methods are applied. This problem was first treated by Child (1911) and later by Langmuir (1913). It is possible, for example, to account for effects due to more than one charge component as well as the influence of a neutral background gas (which causes ionization and scattering of charge carriers). A systematic derivation of the self-consistent representation based on a Hamilton theory for density functions is given, and solution methods are discussed. The concept is designed to investigate ion and electron diodes with very intense currents, but it may also be useful for treating space charge problems in a stationary plasma.

scholarly journals Approximate determination of the plasma potential spatial distribution in the isolated dust particle vicinity

2021 ◽  
Vol 2119 (1) ◽  
pp. 012169
Author(s):  
M V Salnikov
Keyword(s):  
Spatial Distribution ◽  
Space Charge ◽  
Numerical Models ◽  
Plasma Potential ◽  
The Self ◽  
Dust Particles ◽  
Approximate Determination ◽  
Polynomial Decomposition ◽  
Self Consistent ◽  
Direct Numerical Integration

Abstract In this paper, results of two numerical models are compared. The main purpose of these models is to determine the self-consistent spatial distributions of plasma (electric potential and space charge) near isolated spherical dust particles. In the first model, the spatial distribution of the self-consistent plasma potential is determined by expanding the plasma space charge spatial distribution in Legendre polynomials; in the second model, it is determined by direct numerical integration of the Poisson equation solution. The results show that the dependences of the system main parameters (wake magnitude and position, dipole moment of the ion cloud) coincide for small values of the external electrostatic field. With an increase in the external field strength, the dependences for two models cease to coincide, which is due to the inapplicability of Legendre polynomial decomposition in the case of strong anisotropy.

scholarly journals Dielectric and Electrical Properties of Copper-Polyimide-Copper Structures

2021 ◽  
Author(s):  
Julia FEDOTOVA
Keyword(s):  
Experimental Study ◽  
Electrical Properties ◽  
Space Charge ◽  
Charge Carriers ◽  
Localized States ◽  
Space Charge Limited Current ◽  
Copper Electrodes ◽  
Current Voltage ◽  
Mobility Of Charge Carriers ◽  
Frequency Dependences

Experimental study of current-voltage (I-V) characteristics and frequency dependences of impedance in copper-Kapton-copper structures in the temperature range 240 – 300 K were carried out. Concentration and mobility of charge carriers thermally excited from traps with exponential distribution by energy in Kapton bulk and metal-Kapton interface and injected from copper electrodes into Kapton were estimated from the fitting of experimental I-V curves within the frame of the model of the space charge limited current (SCLC). Concentration and the width of energy of localized states, arising from the disorder of the Kapton structure, are additionally estimated from the I-V characteristics.

Space-charge-limited current in GaAs

1966 ◽  
Vol 2 (7) ◽  
pp. 282
Author(s):  
A.M. Phahle ◽  
K.C. Kao ◽  
J.H. Calderwood
Keyword(s):  
Space Charge ◽  
Space Charge Limited Current ◽  
Limited Current ◽  
Space Charge Limited
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