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Plasma shielding, Vlasov’s equation, and the unperturbed-orbits technique. (English) Zbl 0947.76100

Summary: The common textbook derivation of collisionless plasma shielding is technically invalid. Trapped particles are crucial to shielding, but the trapped-particle distribution does not reach a steady state before the trapped particles bounce, thereby violating the unperturbed-orbit technique used in the derivation. However, physical arguments indicate that the final answer is nonetheless often correct.

MSC:

76X05 Ionized gas flow in electromagnetic fields; plasmic flow
82D10 Statistical mechanics of plasmas
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References:

[1] D.R. Nicholson, Introduction to plasma theory, John Wiley and Sons, New York, 1983, p. 211.; D.R. Nicholson, Introduction to plasma theory, John Wiley and Sons, New York, 1983, p. 211.
[2] N.A. Krall, A.W. Trivelpiece, Principles of plasma physics, McGraw Hill, New York, 1973, p. 557.; N.A. Krall, A.W. Trivelpiece, Principles of plasma physics, McGraw Hill, New York, 1973, p. 557.
[3] Meyer-Vermet, N. M., Am. J. Phys., 61, 249 (1993)
[4] Hansen, C.; Fajans, J., Phys. Rev. Lett., 74, 4209 (1995)
[5] Hansen, C.; Reimann, A. B.; Fajans, J., Phys. Plasmas, 3, 1820 (1996)
[6] A.B. Reimann, Ph.D. thesis, University of California, Berkeley, 1998.; A.B. Reimann, Ph.D. thesis, University of California, Berkeley, 1998.
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