dorsal/arxiv
View SchemaDamping of plasma-electron oscillations and waves in low-collision electron-ion plasmas
| Authors | V. N. Soshnikov |
|---|---|
| Categories | |
| ArXiv ID | physics/0105040 |
| URL | https://arxiv.org/abs/physics/0105040 |
Abstract
Previously developed method for finding asymptotic solutions of Vlasov equations using two-dimensional (in coordinate x and time t) Laplace transform is applied to low-collision electron-ion plasmas. 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 the expression for longitudinal high-frequency plasma-electron oscillation/wave decrement essentially depending on oscillation frequency \omega. This expression is quite different from the used one for low-frequency plasma sound, which can be derived using expansion in asymptotically divergent series in \delta/\omega_0, k v_i/\omega_0, where \delta is imaginary part of the frequency \omega=\omega_0+i\delta, and does not reduce to simple expression with some collision frequency \delta\sim\nu^{eff}_{e_i}.
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"date_created": "2026-03-02T18:00:35.576000Z",
"date_modified": "2026-03-02T18:00:35.576000Z",
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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 applied to low-collision electron-ion plasmas. Taking into account Coulomb\ncollisions in the limit m_e \u003c\u003c m_i, \\bar{v_i} \u003c\u003c \\bar{v_e}, and T_e m_e \u003c\u003c T_i\nm_i, results in the expression for longitudinal high-frequency plasma-electron\noscillation/wave decrement essentially depending on oscillation frequency\n\\omega. This expression is quite different from the used one for low-frequency\nplasma sound, which can be derived using expansion in asymptotically divergent\nseries in \\delta/\\omega_0, k v_i/\\omega_0, where \\delta is imaginary part of\nthe frequency \\omega=\\omega_0+i\\delta, and does not reduce to simple expression\nwith some collision frequency \\delta\\sim\\nu^{eff}_{e_i}.",
"arxiv_id": "physics/0105040",
"authors": [
"V. N. Soshnikov"
],
"categories": [
"physics.plasm-ph"
],
"title": "Damping of plasma-electron oscillations and waves in low-collision electron-ion plasmas",
"url": "https://arxiv.org/abs/physics/0105040"
},
"schema_id": "dorsal/arxiv",
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