Three species one-dimensional kinetic model for weakly ionized plasmas

González, José Manuel Fernández; Donoso, José; Tierno, S. P.

doi:10.1063/1.4953901

Cited by 4 publications

(21 citation statements)

References 29 publications

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“…The method is applied to solve arduous models, accounting for a variety of physical effects of disparate intensity, that are very difficult to implement with classical numerical methods, specially in Weakly Ionized plasmas (WIP), were collisions play a very relevant role [25,28]. Similar methods, based on propagators or other integral kernels, have been employed to solve a wide range of problems in physics and engineering [29][30][31][32][33].…”

Section: Numerical Methods In Plasma Physicsmentioning

confidence: 99%

“…In order to correctly approximate the numerical f , the grid edges must be far enough to ensure that no relevant value of the solution reaches them. This procedure has proved to be highly feasible in many problems [22,25].…”

Section: Scheme For One-dimensional Problemsmentioning

confidence: 99%

“…These descriptions are widely used in situations where collisions are not dominant or the time and length scales studied are smaller than the collisional ones, meaning that its influence is marginal. However, it is important to stress out that collisions are always present and many situations may appear where these effects cannot be neglected and may drive the dynamics of the system [19,25,94,95]. Hence, the action of the electromagnetic field, or any other force, governs the dynamics of the system.…”

Section: Collisionless Plasma From a Kinetic Point Of Viewmentioning

confidence: 99%

“…In several practical applications the Dougherty operator [91,[109][110][111] has been used to describe non-lineal collisional terms, as we did in [25,28,112] for the one-dimensional case. This two-dimensional form can be extracted from the previous Hard Spheres potential.…”

Section: Dougherty Collision Termmentioning

confidence: 99%

“…This operator describing the one-dimensional motion constraint was firstly presented in [25] by myself and others and a review and more extensive analysis is performed now. Here, we set the motion equation of a one-dimensional velocity distribution function, without considering it as a marginal distribution obtained after integration on perpendicular velocity.…”

Section: The 1d Charge-charge Termmentioning

confidence: 99%

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Propagator integral method for plasma physics kinetic equations with practical applications

Muñoz¹

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Section: Numerical Methods In Plasma Physicsmentioning

confidence: 99%

Section: Scheme For One-dimensional Problemsmentioning

confidence: 99%

Section: Collisionless Plasma From a Kinetic Point Of Viewmentioning

confidence: 99%

Section: Dougherty Collision Termmentioning

confidence: 99%

Section: The 1d Charge-charge Termmentioning

confidence: 99%

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Propagator integral method for plasma physics kinetic equations with practical applications

Muñoz¹

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Kinetic analysis of the ionization ratio effects on a three‐species plasma

González

Donoso

2018

Contributions to Plasma Physics

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In partially ionized plasmas, the energy transferred to electrically charged species by the electromagnetic field can be partly channelized to the population of neutrals, due to interspecies collisional processes. Depending on the relative density of neutrals, these effects may govern the collective plasma dynamics by drastically modifying particle dynamics and energy-transport processes with respect to the fully ionized plasma-approximation models. In this work, the influence of the ionization ratio r i on a partially ionized plasma is analysed by means of a three-species one-dimensional kinetic model to compute transient and steady state velocity-dependent distribution functions. The conservative collision operators accounting for charge-charge and charge-neutral interactions allow studying several plasma scenarios with the same entire number of particles per unit of volume but for an increasing r i parameter, in the presence of a modulated signal-like electric field. For a sequence of plasma scenarios of fixed r i , ranging from typical weakly ionized to highly ionized plasma values r i ∼ 10 −7 -10 −4 , the mass species flows are examined. These flows behave linearly with respect to r i up to a value r i ≃ 10 −5 from which the quasi-linear dependence is critically altered. The convection-diffusion equations are solved with the semianalytical Propagator Integral Method, which behaves well to deal with conservative operators, density, and field discontinuities, allowing for the use of collision terms of disparate time and spatial characteristic scales. The results can be relevant to a wide class of plasma systems and to analyse the ionization ratio effects on transport coefficients.

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Comparison between experimental Langmuir probes and three species one-dimensional kinetic simulations

2016

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The biasing of Langmuir probes to obtain the appropriate measurements in weakly ionized plasmas is addressed in this work. The experimental results show discrepancies when this measurement method is employed with sweep signals of different symmetries or frequencies. This means that the method provides signal dependent plasma parameters, which hinder its diagnosis. In this work, a three species one-dimensional kinetic model is applied with a sweep electric field to simulate the dynamics of a weakly ionized plasma close to a Langmuir probe. With the same symmetries and frequencies for the sweep signal in both the experimental and numerical problems, a qualitative similar behaviour is found. The response of the three species plasma due to changes of the electric field is analysed by means of a three species kinetic collisional model. The effect of constant averaged or energy dependent characteristic collision frequencies is studied. These numerical results are useful to provide a first explanation of the discrepancies found in the experimental data and improve the measurement process.

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Three species one-dimensional kinetic model for weakly ionized plasmas

Cited by 4 publications

References 29 publications

Propagator integral method for plasma physics kinetic equations with practical applications

Propagator integral method for plasma physics kinetic equations with practical applications

Kinetic analysis of the ionization ratio effects on a three‐species plasma

Comparison between experimental Langmuir probes and three species one-dimensional kinetic simulations

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