2021-04-16T17:18:55Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:20417
2016-04-21T23:12:58Z
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Electrostatic plasma instabilities excited by a high‐frequency electric field
Sanmartín Losada, Juan Ramón
Physics
Aeronautics
The electrostatic plasma waves excited by a uniform, alternating electric field of arbitrary intensity are studied on the basis of the Vlasov equation; their dispersion relation, which involves the determinant of either of two infinite matrices, is derived. For ω0 ≫ ωpi (ω0 being the applied frequency and ωpi the ion plasma frequency) the waves may be classified in two groups, each satisfying a simple condition; this allows writing the dispersion relation in closed form. Both groups coalesce (resonance) if (a) ω0 ≈ ωpe/r (r any integer) and (b) the wavenumber k is small. A nonoscillatory instability is found; its distinction from the DuBois‐Goldman instability and its physical origin are discussed. Conditions for its excitation (in particular, upper limits to ω0,k, and k⋅vE,vE being the field‐induced electron velocity), and simple equations for the growth rate are given off‐resonance and at ω0 ≈ ωpi. The dependence of both threshold and maximum growth rate on various parameters is discussed, and the results are compared with those of Silin and Nishikawa. The threshold at ω0 ≈ ωpi/r,r ≠ 1, is studied.
E.T.S.I. Aeronáuticos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
1970
info:eu-repo/semantics/article
Article
The physics of fluids, ISSN 0031-9171, 1970, Vol. 13, No. 6
NonPeerReviewed
application/pdf
eng
info:eu-repo/semantics/openAccess
http://oa.upm.es/20417/