Spatial relaxation of electrons in nonisothermal plasmas

Sigeneger, F.; Winkler, R.

doi:10.1007/bf02766819

Cited by 34 publications

(43 citation statements)

References 7 publications

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“…While an aperiodic establishment of the steady state takes place for E/N = −7.1 Td, several periods are still required at −56.5 Td to approach the homogeneous state. At the same time, the period length remains almost constant for each E/N in the range of ionization degrees considered and is nearly given by N ∼ U in 1 /(−e 0 E/N) [11].…”

Section: Resultsmentioning

confidence: 92%

“…In the former relaxation studies (11)(12)(13)(14) the solution of system (3) and (4) was performed neglecting the EEI and the gas temperature…”

Section: Kinetic Approach Including Eeimentioning

confidence: 99%

“…This disturbance is caused by prescribing at a certain space position the energetic distribution of the cathode-sided influx of electrons into the column plasma. By means of such a relaxation model it became possible in former investigations neglecting the Coulomb collisions between the electrons (11)(12)(13) to reveal the complex structure of the spatial relaxation process and to elucidate the inherent relaxation mechanisms. In particular, these investigations showed that in some inert gases at a certain range of electric field strengths pronounced, spatially periodic relaxation processes are excited and these slightly damped processes are characterized by very large relaxation lengths.…”

Section: Introductionmentioning

confidence: 99%

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Impact of Electron–Electron Collisions on the Spatial Electron Relaxation in Non-Isothermal Plasmas

Loffhagen

2005

Plasma Chem Plasma Process

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The impact of electron-electron collisions on the spatial relaxation of electrons in the column-anode plasma of a glow discharge, acted upon by a spaceindependent electric field and initiated by a constant influx at the cathode side of the plasma, is investigated in inert gas plasmas. The investigations are based on a new method for numerically solving the one-dimensional inhomogeneous Boltzmann equation of the electrons including electron-electron interaction in weakly ionized, collision-dominated plasmas. A detailed analysis of the spatial behaviour of the velocity distribution function and relevant macroscopic properties of the electrons is given for various degrees of ionization and electric field strengths. A significant impact of the electron-electron collisions on the relaxation structure and the resultant relaxation length already at relatively low ionization degrees has been found for low to medium electric fields.

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Section: Resultsmentioning

confidence: 92%

“…In the former relaxation studies (11)(12)(13)(14) the solution of system (3) and (4) was performed neglecting the EEI and the gas temperature…”

Section: Kinetic Approach Including Eeimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Impact of Electron–Electron Collisions on the Spatial Electron Relaxation in Non-Isothermal Plasmas

Loffhagen

2005

Plasma Chem Plasma Process

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“…The discrete form of the transformed system of partial differential equations has been derived, using second-order correct centred difference analogs for all components of the EVDF, and their partial derivatives with respect to 6 and z. The descrete values of the isotropic component jo(c+Ukn, t) of the EVDF, which occur in the right hand side of the lowest hierarchy equation and which belongs to the space position z however to the shifted total energy 6 + Ur, are presented on the same grid by appropriate parabolic interpolations with respect to the total energy at fixed spatial position.…”

Section: Basic Equations and Solution Approachmentioning

confidence: 99%

Strict Kinetic Treatment of the Electron Response to Spatial Field Disturbances in Nonequilibrium Plasmas

Petrov¹,

Winkler²

1997

Contrib. Plasma Phys.

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A b s t r a c tIn generalization of former approaches for the simplified solution of the inhomogeneous electron Boltzmann equation a higher order solution technique has been developed. This technique is based on a multi-term expansion of the electron velocity distribution function and allows a strict study of the electron kinetics in plasmas acted upon by spaccdependent electric fields. This solution technique is used to investigate the response of the plasma electrons to spatially limited disturbances of the electric field in weakly ionized plasmas of helium and mercury. By solving the kinetic equation with increasing order of the multi-term expansion the convergent solution of the kinetic problem and thus the strict spatial behaviour of the velocity distribution and of significant macroscopic properties of the electrons has been determined and analysed. Furthermore, the impact of higher order terms of the expansion has been revealed and the falsification of the velocity distribution and of related macroscopic properties has been evaluated when instead of the multi-term solution the simpler two-term solution of the kinetic equation is used.

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“…Analytical approximations (3,4) and detailed numerical studies of the spatial relaxation of electrons in one (5,6) and two dimensions (7) have shown that pronounced spatial structures may occur even if a spatially constant electric field is assumed. These structures are caused by the repeated sequence of the acceleration of electrons by the electric field and the energy loss due to inelastic collisions of electrons with the gas atoms.…”

Section: Introductionmentioning

confidence: 99%

Self-Consistent Analysis of the Spatial Relaxation of a Disturbed Neon Glow Discharge

Arndt

Sigeneger

Testrich

et al. 2005

Plasma Chem Plasma Process

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The response of a neon glow discharge plasma on a disturbance caused by a floating Langmuir probe is studied by a fully self-consistent, spatially one-dimensional hybrid method as well as by measurements. The theoretical description is based on the coupled solution of the hydrodynamic equations of electrons, ions, and excited atoms and the Poisson equation. The space-dependent transport and rate coefficients of the electron component are determined by a strict solution of the non-uniform electron kinetic equation. For the measurements, a probe was inserted in radial direction into the discharge several cm in front of the anode. The spatial evolution of the densities of the excited atoms in the 1s 3 , 1s 5 , and 2p 8 states was determined by spectroscopic methods. Pronounced modulations of basic plasma parameters have been observed around the probe, decaying periodically and damped toward the anode. The measured density profiles of the excited atoms agree well with the numerically determined ones. The analysis of the electron kinetic quantities shows that the response of the plasma to the disturbance is widely determined by the nonlocal behaviour of the electrons in the distinctly disturbed electrical field.

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Spatial relaxation of electrons in nonisothermal plasmas

Cited by 34 publications

References 7 publications

Impact of Electron–Electron Collisions on the Spatial Electron Relaxation in Non-Isothermal Plasmas

Impact of Electron–Electron Collisions on the Spatial Electron Relaxation in Non-Isothermal Plasmas

Strict Kinetic Treatment of the Electron Response to Spatial Field Disturbances in Nonequilibrium Plasmas

Self-Consistent Analysis of the Spatial Relaxation of a Disturbed Neon Glow Discharge

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