scholarly journals The Distribution of Electrons in a Uniform Electric Field

1995 ◽  
Vol 48 (1) ◽  
pp. 89
Author(s):  
IM Stewart
Keyword(s):  
Electric Field ◽  
New England ◽  
Current Source ◽  
Uniform Electric Field ◽  
Number Density ◽  
Transport Parameters ◽  
Cathodic Current ◽  
Secondary Current ◽  
Density Of Electrons ◽  
The University

Experiments are under way at the University of New England to measure the optical absorption of excited gas particles in a pre-breakdown discharge. Such measurements can be used to deduce the number density of electrons in the discharge. By comparing this experimental density map with the predictions of theory, electron transport parameters may be determined. In this paper, new theoretical expressions are derived for the number density distributions of electrons in a uniform electric field. These are found by solving the electron diffusion equation in a plane parallel electrode geometry with a radially symmetric cathodic current source. The contribution of ion-induced secondary current is included, and problems posed by non-equilibrium conditions near the electrodes are addressed. Techniques of data reduction are discussed with a particular emphasis on the avoidance of these problems.

SIMULATION OF ELECTRON SWARM PARAMETERS IN AIR

2006 ◽  
Vol 20 (10) ◽  
pp. 1233-1242 ◽  
Author(s):  
A. SETTAOUTI ◽  
L. SETTAOUTI
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Electric Field ◽  
Cross Sections ◽  
Uniform Electric Field ◽  
Number Density ◽  
Gas Molecules ◽  
Experimental Values ◽  
Background Gas ◽  
Good Agreement

The electron transport of air in a uniform electric field is investigated by a Monte–Carlo simulation. The simulation results obtained are compared with the available data in the literature. The result of Monte–Carlo simulation shows that electron molecule collision cross sections adopted in the simulation result in good agreement with the experimental values over the range of E/N investigated (E is the electric field and N is the gas number density of background gas molecules).

A note on the semi-Lagrangian formulation of the Vlasov equation

1970 ◽  
Vol 4 (1) ◽  
pp. 143-144
Author(s):  
G. J. Lewak
Keyword(s):  
Magnetic Field ◽  
Distribution Function ◽  
Electric Field ◽  
Vlasov Equation ◽  
Electron Distribution ◽  
Electron Distribution Function ◽  
Lagrangian Formulation ◽  
Number Density ◽  
Density Of Electrons ◽  
Image Position

In a previous paper [Lewak (1969), see also Pflrsch (1966) for related treatment], it was shown that the Vlasov equation in the Semi-Lagrangian (S.L.) formulation, may be written in a form resembling the fluid equations.plus Maxwell's equations with the source terms given bywhere n is the determinant of the tensor Tij = ∂gi/∂ζj, and N is the constant mean number density of electrons. The averaging notation < > here is defined bywhere f(σ) is the electron distribution function to be specified. The equations assume for simplicity a uniform fixed ion background, although this is not a necessary restriction and equations (1) and (2) need only an obvious modification to account for ions. The force fields in (1) are related to the electric field E and magnetic field B in the plasma by .

UNCHARGED CONDUCTING TOROIDAL RING IN A UNIFORM ELECTRIC FIELD

1961 ◽  
Vol 39 (10) ◽  
pp. 1495-1500
Author(s):  
S. C. Loh
Keyword(s):  
Electric Field ◽  
Potential Function ◽  
Systematic Study ◽  
Theoretical Calculations ◽  
Numerical Results ◽  
Experimental Results ◽  
Uniform Electric Field ◽  
University Of Toronto ◽  
Mathematical Expressions ◽  
The University

Mathematical expressions for the potential function of an uncharged conducting toroidal ring placed in a uniform electric field are derived and expressed in terms of toroidal functions. Some numerical results were calculated by the IBM 650 computer at the University of Toronto and are included in the present paper. To verify the calculated results, a systematic study of an electrolytic tank was undertaken. It was found that the theoretical calculations agreed well with the experimental results.

Bubble motion in liquid nitrogen under a non-uniform electric field in a microgravity environment

1997 ◽  
Vol 117 (11) ◽  
pp. 1109-1114
Author(s):  
Yoshiyuki Suda ◽  
Kenji Mutoh ◽  
Yosuke Sakai ◽  
Kiyotaka Matsuura ◽  
Norio Homma
Keyword(s):  
Electric Field ◽  
Liquid Nitrogen ◽  
Microgravity Environment ◽  
Uniform Electric Field ◽  
Bubble Motion

Discussion of Electrode Conditioning Mechanism Based on Pre-breakdown Current under Non-uniform Electric Field in Vacuum

2008 ◽  
Vol 128 (12) ◽  
pp. 1445-1451
Author(s):  
Takanori Yasuoka ◽  
Tomohiro Kato ◽  
Katsumi Kato ◽  
Hitoshi Okubo
Keyword(s):  
Electric Field ◽  
Uniform Electric Field
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