Conclusions
-
1.
It is shown that when λ > L, only resonance particles (ωL/πv x = n) contribute to the heating and as result for large velocities, where the fraction of resonance particles is small, collisionless heating is suppressed.
-
2.
A plateau in the distribution function in the region of first resonance can be observed.
-
3.
At smaller collision frequency the nonlinear effects should be accounted for. If kicks are perpendicular to the discharge boundaries a considerable suppression of collisionless heating appears due to nonlinear effects. In this case collisionless heating is proportional to collision frequency (D ~ v).
on leave from St. Petersburg Technical University, Physical Technical Department, Polytechnicheskaya 29, 195251 St. Petersburg, Russia
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A.I. Akhiezer and A.S. Bakai, Theory of stochastic particle acceleration, Sov. Phys. Dokl. 16: 1065 (1972).
V.A. Godyak, Statistical heating of electrons at an oscillating plasma boundary, Sov. Phys. Tech. Phys. 16: 1073 (1972).
C.G. Goedde, A.J. Lichtenberg and M.A. Lieberman, Self-consistent stochastic electron heating in radio frequency discharges, J. Appl. Phys. 64: 4375 (1988).
I.D. Kaganovich and L.D. Tsendin, Low pressure rf discharge in the free flight regime, IEEE Trans. Plasma Sci. 20: 86 (1992).
M.M. Turner, Collisionless electron heating in a inductively coupled discharge, Phys. Rev. Lett, 71: 1844 (1993).
V. Vahedi, M.A. Lieberman, G. Di Peso, T.D. Rognlien and D. Hewett, Analytic model of power deposition in inductively coupled plasma sources, J. Appl. Phys. 78: 1446 (1995).
I.D. Kaganovich, V.I. Kolobov, L.D. Tsendin, Stochastic electron heating in bounded radio-frequency plasmas, J. Appl. Phys. Lett. 69: 3818 (1996).
A.V. Timofeev, Cyclotron oscillations of an equilibrium plasma in: “Review of Plasma Physics v.14” ed. B.B. Kadomtsev, Consultants Bureau, New York-London (1989).
B. B. Kadomtsev, Landau damping and echo in a plasma, Sov. Phys. Usp. 11: 328 (1968).
J. N. Istomin, V. Karpman, and D. Shkljar, Drag effects when there is resonance interaction between particles and a Langmuir waves in a inhomogeneous plasma, Sov. Phys. JETP 42: 463 (1975).
G. Brodin, Non-linear Landau damping, Phys. Rev. Lett. 78: 1263 (1997).
M.A. Lieberman and A.J. Lichtenberg, ”Principles of Plasma Discharges and Materials Processing”, John Wiley & Sons Inc., New York (1994)
R.H. Cohen and T.D. Rognlien, Electron kinetics in radio-frequency magnetic fields of inductive plasma sources, Plasma Sources Sci. Techn. 5: 442 (1996).
Y. M. Aliev, I. D. Kaganovich, and H. Schlüter, Collisionless electron heating in RF gas discharges: I Quasilinear theory, in this book
R.Z. Sagdeev, D.A. Usikov and G.M. Zaslavsky, “Nonlinear Physics from the Pendulum to Turbulence and Chaos” Chur: Harwood Academic Publishers (1988).
A. P. Dmitriev and L. D. Tsendin, Distribution functions of electrons scattered with a large energy loss in an electric field, Sov. Phys JETP 54: 1071 (1981).
V. A. Godyak and R. B. Piejak, Abnormally low electron energy and heating-mode transition in a low-pressure Argon rf discharge at 13.56 MHz, Phys. Rev. Lett. 65: 996 (1990).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
Buddemeier, U., Kaganovich, I.D. (2002). Collisionless Electron Heating in RF Gas Discharges: II. The Role of Collisions and Non-linear Effects. In: Kortshagen, U., Tsendin, L.D. (eds) Electron Kinetics and Applications of Glow Discharges. NATO Science Series: B, vol 367. Springer, Boston, MA. https://doi.org/10.1007/0-306-47076-4_17
Download citation
DOI: https://doi.org/10.1007/0-306-47076-4_17
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-45822-4
Online ISBN: 978-0-306-47076-9
eBook Packages: Springer Book Archive