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

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.

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

Laser and Particle Beams ◽

10.1017/s0263034600005504 ◽

1988 ◽

Vol 6 (3) ◽

pp. 579-586 ◽

Cited By ~ 1

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.

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On Numerical Modeling of a Space-Charge Limited Beam in the Self-Consistent Field

Information Technology Journal ◽

10.3923/itj.2002.218.227 ◽

2002 ◽

Vol 1 (3) ◽

pp. 218-227

Author(s):

Anatoliy Romanenko .

Keyword(s):

Numerical Modeling ◽

Space Charge ◽

The Self ◽

Consistent Field ◽

Self Consistent ◽

Self Consistent Field ◽

Space Charge Limited

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The spatial distribution of dust in the inner comae of comets: Evidence for and modelling of nightside emission

10.5194/egusphere-egu2020-8393 ◽

2020 ◽

Author(s):

Nicolas Thomas ◽

Selina-Barbara Gerig ◽

Olga Pinzon ◽

Raphael Marschall ◽

Jong-Shinn Wu ◽

...

Keyword(s):

Spatial Distribution ◽

Co2 Emission ◽

Heliocentric Distance ◽

Numerical Models ◽

Dust Emission ◽

Brightness Distribution ◽

Gas Composition ◽

Gas Emission ◽

Self Consistent ◽

Model Chain

<p>Spacecraft imaging of the inner comae of 1P/Halley (Giotto/HMC) and 19P/Borrelly (DS1/MICAS) indicated unexpectedly low ratios for the dust brightness above the dayside hemisphere to that above the nightside. Neither ratio was consistent with dust emission being directly proportional to sublimation loss of H2O using purely insolation-driven models. The near-terminator observations of 67P/Churyumov-Gerasimenko from Rosetta allow very precise separation of the dayside and nightside hemispheres and confirm low dayside to nightside dust brightness ratios. In the case of 67P values of ~3.3:1 were observed and an interesting trend towards increased ratios with decreasing heliocentric distance. Detailed modelling using insolation-driven models do not fit the data by factors of several. Dust from the dayside may contribute to the brightness on the nightside if particles are not escaping and therefore gravitationally bound. However, the radial distribution of brightness on the nightside is inconsistent with this interpretation as can be demonstrated with a simple model. The source is also not in the form of single nightside (e.g. &#8220;sunset&#8221;) jets. Furthermore, shadowing of emitted dust by the nucleus itself indicates that much of the observed brightness on the nightside is very close to the nucleus and distributed roughly uniformly around in the nightside hemisphere (Gerig et al., submitted).</p><p>Gas emission from the nightside has been a consistent element of source distributions (e.g. Bieler et al., 2015) required to model ROSINA/COPS data. However, the composition is frequently not specified. We have been investigating self-consistent, physically generated, numerical models of combined H2O and CO2 emission (see also Herny et al., submitted). Dust emission has been incorporated into the model chain allowing modelling of the observation of the gas composition, the gas density, and the dust brightness distribution in the vicinity of the nucleus for specific times. The results of investigation will be presented.</p>

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Plasma Parameters around a Chain-Like Structure of Dust Particles in an External Electric Field

Molecules ◽

10.3390/molecules26133846 ◽

2021 ◽

Vol 26 (13) ◽

pp. 3846

Author(s):

Mikhail Salnikov ◽

Alexander Fedoseev ◽

Gennadiy Sukhinin

Keyword(s):

Electric Field ◽

External Electric Field ◽

Electric Potential ◽

Mean Free Path ◽

The Self ◽

Dust Particles ◽

Charged Dust ◽

Plasma Parameters ◽

Self Consistent ◽

A Chain

The formation of a 1D chain-like structure of dust particles in a low-temperature argon plasma was studied. A new numerical model for calculation of the self-consistent spatial distribution of plasma parameters around a chain of dust particles was presented. The model described the motion of positively charged ions in the electric potential of several negatively charged dust particles, taking into account the action of an external electric field. The main advantage of the model was that the charges of the dust particles and the interparticle distances were determined self-consistently. As a result of numerical simulations, the dependencies of the spatial distributions of the plasma parameters (the densities of electrons and ions and the self-consistent electric potential) near the dust particles chain on the strength of the external electric field, an external force acted on the last particle, and the mean free path of the ions was determined. The obtained results made it possible to describe the process of the formation of chain-like structures of dust particles in discharge plasma.

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The dimensional effect of the space charge on the self-consistent electric field at the cathode surface

IEEE Transactions on Dielectrics and Electrical Insulation ◽

10.1109/tdei.2011.5931082 ◽

2011 ◽

Vol 18 (3) ◽

pp. 924-928 ◽

Cited By ~ 11

Author(s):

I. V. Uimanov

Keyword(s):

Electric Field ◽

Space Charge ◽

Cathode Surface ◽

The Self ◽

Dimensional Effect ◽

Self Consistent

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Relaxation of dusty plasmas in plasma crystals

Journal of Plasma Physics ◽

10.1017/s0022377899008107 ◽

2000 ◽

Vol 63 (1) ◽

pp. 89-96 ◽

Cited By ~ 1

Author(s):

Yu. I. CHUTOV ◽

O. Yu. KRAVCHENKO ◽

R. D. SMIRNOV ◽

P. P. J. M. SCHRAM

Keyword(s):

Electric Charge ◽

Dusty Plasmas ◽

Distribution Functions ◽

The Self ◽

Dust Particles ◽

Relaxation Phenomena ◽

Electrons And Ions ◽

Self Consistent ◽

Plasma Crystals ◽

Selective Collection

Relaxation phenomena in two-dimensional (2D) plasma crystals have been investigated, including both the self-consistent electric charge of dust particles and the electron and ion velocity distribution functions, by means of a modified 2D particle-in-cell (PIC) method. The results obtained show that the mutual interaction of dust particles in such crystals leads to special properties of the background electrons and ions due to their selective collection by dust particles during the relaxation. These electrons and ions can behave as non-ideal components of dusty plasmas in plasma crystals even in cases where their numbers in the Debye cube are large. This effect is caused by their intensive charge exchange with dust particles, which provides dusty plasmas with the status of open statistical systems. The selective collection of electrons and ions by dust particles also causes their deviation from the initial equilibrium as well as the non-equilibrium evolution of the self-consistent electric charge of the dust particles. Relaxation phenomena in plasma crystals have to be taken into account in all cases of strong changes of plasma parameters, for example due to strong oscillations and waves in these crystals.

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