Damping of transversal plasma-electron oscillations and waves in low-collision electron-ion plasmas

dc.creatorSoshnikov, V. N.
dc.date2001-11-05
dc.date2002-05-13
dc.date.accessioned2026-07-07T05:46:27Z
dc.date.available2026-07-07T05:46:27Z
dc.descriptionPreviously developed method for finding asymptotic solutions of Vlasov equations using two-dimensional (in coordinate x and time t) Laplace transform is here applied to consider transversal oscillations and waves in low-collision quasi-neutral (n_i \simeq n_e) Maxwellian electron-ion plasmas. We obtain two branches of electron waves: the ubiquitous one of high-frequency and high-velocity oscillations and the unusual low-velocity one. Taking into account Coulomb collisions in the limit m_e << m_i, \bar{v_i} << \bar{v_e}, and T_e m_e << T_i m_i results in expressions for transversal plasma-electron oscillation/wave decrements with a damping of the low-velocity electron branch \sim n_i^{1/3}/\bar{v}_e^{4/3}, where n_i is the ion density and \bar{v}_e is the mean electron velocity. It ought to rehabilitate Vlasov principal value prescription for relevant integrals, but to supplement it with representation of an asymptotical solution as a sum of exponents (not a single one). "Non-damping" kinematical waves in low-collision plasma transform in the damping ones at reasonably chosen iteration process.
dc.description9 pages in LaTeX style, some discussion added in the Conclusion; two misprints in Eqs. (32) and (35) are corrected
dc.identifierhttps://arxiv.org/abs/physics/0111014
dc.identifierhttp://arxiv.org/abs/physics/0111014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/84340
dc.subjectPlasma Physics
dc.titleDamping of transversal plasma-electron oscillations and waves in low-collision electron-ion plasmas
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