Validity of the Quasisteady State and Collisional-Radiative Recombination for Helium Plasmas. I. Pure Afterglows

Limbaugh, C. C.; Mason, A.

doi:10.1103/physreva.4.2368

Cited by 34 publications

(6 citation statements)

References 22 publications

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“…Soon after, however, it was recognized the importance of a time dependent integration of kinetic equations which are at the basis of the c-r models for situations characterized by very short macroscopic relaxation times. Time dependent solution of c-r models have been presented by Cacciatore et al [2][3][4][5] for atomic H, O and N plasmas many years ago and more recently these plasmas [6][7][8] have been again studied for explaining new experimental situations (e.g. laser-plasmas interaction) in which a time dependent solution of c-r models seems to be necessary.…”

Section: Introductionmentioning

confidence: 99%

“…laser-plasmas interaction) in which a time dependent solution of c-r models seems to be necessary. In these papers [2][3][4][5], rate coefficients of e-A collisions are calculated approximating the eedf with the Maxwell distribution at a fixed temperature (free electron kinetics have been neglected). This assumption is realistic only if the ionization degree is high enough so that electron-electron Coulomb collisions (e-e) dominates the free electron kinetics.…”

Section: Introductionmentioning

confidence: 99%

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On the coupling of collisional radiative models and Boltzmann equation for atomic transient hydrogen plasmas

Colonna¹,

Pietanza²,

Capitelli³

2001

AIP Conference Proceedings

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Abstract. Collisional-radiative model for atomic hydrogen has been coupled selfconsistently with the Boltzmann equation for electron kinetics to study the role of nonequilibrium electron distributions on the energy level kinetics. In particular, the role of second kind and electron-electron collisions in affecting both time dependent electron energy distributions and excited state population densities has been investigated.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the coupling of collisional radiative models and Boltzmann equation for atomic transient hydrogen plasmas

Colonna¹,

Pietanza²,

Capitelli³

2001

AIP Conference Proceedings

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“…The intensity of the hydrogen spectral line radiation, in the case of pure hydrogen, is considerably enhanced during the perturbation, and this is followed by a drop of intensity below the stationary value immediately after. 0022-37271821040631 + 07 $02.00 0 1982 The Institute of Physics Few attempts have been made to calculate theoretically the time behaviour of level population in the nonstationary plasma (Cacciatore andCapitelli 1974, Limbaugh andMason 1972). Population relaxation was studied for various initial conditions that were chosen arbitrarily and therefore an application of this calculation requires a knowledge of instantaneous values of population at the beginning of the relaxation.…”

Section: Introductionmentioning

confidence: 99%

Selfconsistent calculation of the hydrogen plasma parameters. II. Transient plasmas

Ljepojevic¹,

Labat²

1982

J. Phys. D: Appl. Phys.

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For pt.I see ibid., vol.15, p.621 (1982). For the particular case of a positive column glow discharge hydrogen plasma perturbed by a nanosecond pulse, the system of kinetic equations that includes also equations for electronic concentration and temperature has been numerically solved. One of the remarkable results is that the electron temperature, after initial rapid rise due to the perturbation, drops below the stationary value during the relaxation. The drop is more marked with stronger perturbation, and occurs earlier at higher initial gas pressures.

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“…Gordiets, Gudsenko & Shelepsin (1968) used a R unge-K utta method to obtain approximate population densities for a hydrogen plasma a t various times and temperatures and included both collisional and radiative processes. On the other hand, Limbaugh & Mason (1971) were more concerned with investigating the validity of the quasi-steady-state approximation in their work on a helium plasma. Their method of integration was a modified Euler method and they obtained values for the collisional-radiative recombination coefficient as a function of time.…”

Section: Introductionmentioning

confidence: 99%

Internal relaxation, ionization and recombination in a dense hydrogen plasma I. Application of singular perturbation theory

Hogarth

McElwain

1975

Proc. R. Soc. Lond. A

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The master equation which describes internal relaxation, ionization and recombination in a dense hydrogen plasma at constant electron temperature is developed. An approximate solution is obtained by using singular perturbation theory based on the assumption that the internal relaxation time is much shorter than the time for ionization. The results show that there are two distinct time regimes in the relaxation of a given initial nonequilibrium population distribution to the final equilibrium distribution. The first phase, a fast initial transient, involves an internal redistribution of the atoms to form a new distribution. This new distribution decays slowly during the second and much longer phase to the equilibrium distribution. Only during this period is there any significant change in the electron number density. After the initial transient period the rate coefficient for ionization is related linearly to the smallest eigenvalue of the relaxation matrix, the rate-quotient law holds approximately and the ordinary differential equation describing the behaviour of the electron number density is the usual phenomenological rate equation.

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Validity of the Quasisteady State and Collisional-Radiative Recombination for Helium Plasmas. I. Pure Afterglows

Cited by 34 publications

References 22 publications

On the coupling of collisional radiative models and Boltzmann equation for atomic transient hydrogen plasmas

On the coupling of collisional radiative models and Boltzmann equation for atomic transient hydrogen plasmas

Selfconsistent calculation of the hydrogen plasma parameters. II. Transient plasmas

Internal relaxation, ionization and recombination in a dense hydrogen plasma I. Application of singular perturbation theory

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