dorsal/arxiv
View SchemaDamping of transversal plasma-electron oscillations and waves in low-collision electron-ion plasmas
| Authors | V. N. Soshnikov |
|---|---|
| Categories | |
| ArXiv ID | physics/0111014 |
| URL | https://arxiv.org/abs/physics/0111014 |
Abstract
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 (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.
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"date_created": "2026-03-02T18:00:35.446000Z",
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"abstract": "Previously developed method for finding asymptotic solutions of Vlasov\nequations using two-dimensional (in coordinate x and time t) Laplace transform\nis here applied to consider transversal oscillations and waves in low-collision\nquasi-neutral (n_i \\simeq n_e) Maxwellian electron-ion plasmas. We obtain two\nbranches of electron waves: the ubiquitous one of high-frequency and\nhigh-velocity oscillations and the unusual low-velocity one. Taking into\naccount Coulomb collisions in the limit m_e \u003c\u003c m_i, \\bar{v_i} \u003c\u003c \\bar{v_e}, and\nT_e m_e \u003c\u003c T_i m_i results in expressions for transversal plasma-electron\noscillation/wave decrements with a damping of the low-velocity electron branch\n\\sim n_i^{1/3}/\\bar{v}_e^{4/3}, where n_i is the ion density and \\bar{v}_e is\nthe mean electron velocity. It ought to rehabilitate Vlasov principal value\nprescription for relevant integrals, but to supplement it with representation\nof an asymptotical solution as a sum of exponents (not a single one).\n\"Non-damping\" kinematical waves in low-collision plasma transform in the\ndamping ones at reasonably chosen iteration process.",
"arxiv_id": "physics/0111014",
"authors": [
"V. N. Soshnikov"
],
"categories": [
"physics.plasm-ph"
],
"title": "Damping of transversal plasma-electron oscillations and waves in low-collision electron-ion plasmas",
"url": "https://arxiv.org/abs/physics/0111014"
},
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