Abstract

Multi-component active plasmas are modeled in the presence of a constant oblique magnetic field by using the hydrodynamics equations. Assuming the electrons and negative ions have Boltzmann distribution and the positive ions have finite temperature, the sheath formation criterion is derived by analyzing the Sagdeev potential. It is found that the Bohm velocity of positive ions depends sensitively on the plasma parameters such as ion-neutral collision frequency, electron impact ionization frequency, positive and negative ion temperatures, initial densities of the charged particles and direction of the applied magnetic field. Also, using our obtained Bohm criterion, the sheath properties of an active magnetized plasma consisting of electrons and positive and negative ion species are investigated numerically and the results are compared with the results of a similar quiescent plasma.

Highlights

  • Multi-component active plasmas are modeled in the presence of a constant oblique magnetic field by using the hydrodynamics equations

  • A criterion of sheath formation has been obtained by Moulick et al.[19] for magnetized low pressure electropositive plasmas including the effect of collision and ionization

  • We extend the results of the previous works to include an oblique external magnetic field, ion-neutral collision and electron impact ionization as well as multi-charged positive and negative ion species and find analytically the sheath formation criterion in a magnetized multicomponent plasma with ion source term consisting of multi-charged positive and negative ion species

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Summary

Model and basic equations

We are going to use a fluid model to study the plasma sheath structure in a magnetized plasma consisting of electrons, multi-charged positive and negative ion species and neutral atoms. J i where Qpi , Qnj , n0pi and n0nj are the charge number and density of the ith positive ion and jth negative ion species, respectively and n0e is the electron density at the sheath edge. Assuming that the external magnetic field is weak and the low-pressure plasma is not highly electronegative, the Boltzmann relations is satisfied well for distribution of electron ­density[9] ne = n0e exp eφ kTe. where φ is the electrostatic potential and Te is the electron temperature. The Poisson’s equation for such a plasma consisting of multi-charged positive and negative ion species and electrons is written as follows:. The basic equations of the fluid model, i.e., Eqs. (2), (3) and (6) take the following forms: Scientific Reports | (2021) 11:9531 |

Qnj nnj
Results and discussion
Qpi Npi
Conclusion
Additional information

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