Plasma Wall Transition and Effects of Geometry in Presheath

  • S. Ahmad Department of Physics, Government Postgraduate College Mansehra, Pakistan
  • K. Chaudhary Department of Physics, Government College University Lahore, Pakistan
Keywords: Debye’s length, sheath, presheath, Bohm’s criterion, ion acoustic speed, Boltzman’s relation, Tonks Langmuir problem

Abstract

When plasma interacts with the wall of a conductor, electrons due to high mobility reach the wall first and develop negative potential on the wall and very near to the wall plasma is divided into sheath and presheath regions. The quasi-neutral plasma is shielded from the wall by a space charge sheath of the positive ions of the order of few electrons Debye’s lengths (λD) . At the sheath edge quasi neutrality breaks down from presheath side. In asymptotic limit ε=λD/L → 0 varying area of geometry affects the structure of the presheath scale. In addition to geometry, collisions and ionization also affects the presheath structure. But the sheath region is universal and is independent of either of geometry, ionization rate and collision frequency. The region which play the role of a link between these two regions has characteristics of both regions and is known as intermediate region. Even in the absence of ionization source and collision expanding area of geometry can accelerates the ions towards the wall. The characteristic length of the geometric presheath depends on radius of curvature c R = A/A′ , where “A” is the area of geometry and “A′= dA/dz”. If either of ionization or collisions is present along with the expanding area of geometry then dominant factor for the acceleration of ions in the presheath region is not the expanding area of geometry.

Downloads

Download data is not yet available.

Author Biography

S. Ahmad, Department of Physics, Government Postgraduate College Mansehra, Pakistan

References

Riemann K.U. The Bohm criterion and sheath formation // J. Phys. D: Appl. Phys. – 1991. – Vol. 24. – P.493.

Langmuir I. Oscillation in ionized gases // Proc. Natl. Acad. Sci. – 1928. – Vol.14. – P.626-627.

Riemann K.U. Consistent analysis of a weakly ionized plasma and its boundary layer // phys. Fluids B. – 1993. – Vol.3. – P.456.

Caruso A., Cavaliere A. The structure of the collisionless plasma-sheath transition // Nuovo Cimento. – 1962. – Vol.26. – P.1389.

Riemann K.U. The plasma sheath matching problem // J. Tech. Phys. – 2005. – Vol. 41. – No.1- P.89-90.

Lieberman M A and Lichtenberg A J. Principles of Plasma Discharges and Materials Processing. Ch.5.-New York: Wiley, 1994. – P.123-125.

Riemann K.U. Tsendin L. Unipolar ion sheath // J. Appl. Phys. – 2001. – Vol.90. – No.11. – P.5487-5490.

Valentini H.B. Two-Fluid Theory of Presheath and Space Charge Sheath in Low Pressure Plasmas // Contributions to Plasma Physics. – 1991. – Vol. 31. – P.221-229.

Tonks L. and Langmiur I. A General Theory of the Plasma of an Arc // Phys. Review Letters. – 1929. – Vol. 34. – P.876.

Riemann K.U., Meyer P. Bohm criterion for the collisional sheath - comment // Physics of plasmas. – 1996. – Vol. 3. – No.12. – P.4751-4753.

Escobar D., Ahedo E. Low frequency azimuthal stability of the ionization region of the hall thruster discharge // Physics of Plasmas. – 2014. – Vol. 21. – No.4. – P.043505.

Riemann K.U. Theory of plasma sheath transition // J. Tech. Phys. – 2000. – Vol. 41. – No.1- P.89-121.

Riemann K.U. The influence of collisions on the plasma sheath transition // Physics of plasmas. – 1997. – Vol.4. – No.11. – P.4158-4166.

Riemann K.U. Theory of the plasma-sheath transition in an oblique magnetic-field // Contributions to Plasma Physics. – 1994. – Vol. 34. – No.2. – P.127-132.

Martinez M., Ahedo E. Magnetic mirror effects on a collisionless plasma in a convergent geometry // Physics of Plasmas. – 2011. – Vol.18. – P.033509.

Lieberman M.A., Lichtenberg A.J. Principles of Plasma Discharges and Materials Processing. Ch.3. – New York: Wiley, 1994. – 180 p.

Ahedo E., Escobar D. Two-region model for positive and negative plasma sheaths and its application to Hall thruster metallic anodes // Physics of Plasmas. – 2008. – Vol. 15. – P.23-28.

Published
2017-03-10
Cited
How to Cite
Ahmad, S., & Chaudhary, K. (2017). Plasma Wall Transition and Effects of Geometry in Presheath. East European Journal of Physics, 3(4), 43-50. https://doi.org/10.26565/2312-4334-2016-4-04