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

V. N. Soshnikov
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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 ω. 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 δ/ω_0, k v_i/ω_0, where δis imaginary part of the frequency ω=ω_0+iδ, and does not reduce to simple expression with some collision frequency δ\simν^{eff}_{e_i}.

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V. N. Soshnikov. 2007-08-08. Damping of plasma-electron oscillations and waves in low-collision electron-ion plasmas. https://arxiv.org/abs/physics/0105040

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