2001/11/05 by В. Н. Сошников, V. N. Soshnikov, Soshnikov, V. N.
Physics and Astronomy · #Dust and Plasma Wave Phenomena #FOS: Physical sciences #Optical properties and cooling technologies in crystalline materials #Plasma Physics (physics.plasm-ph) #Statistical Mechanics and Entropy #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.physics/0111014
9 pages in LaTeX style, some discussion added in the Conclusion; two misprints in Eqs. (32) and (35) are corrected
openalex publication_date 2001/11/05 · arxiv created 2002/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Previously 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 (ni ≃ ne) 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 me << mi, vi << ve, and Te me << Ti mi results in expressions for transversal plasma-electron oscillation/wave decrements with a damping of the low-velocity electron branch ∼ ni1/3/ve4/3, where ni is the ion density and ve 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.