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Teplofizika vysokikh temperatur, 2005, Volume 43, Issue 4, Pages 485–491
(Mi tvt1346)
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This article is cited in 3 scientific papers (total in 3 papers)
Plasma Investigations
Analytical and Numerical Solutions of Generalized Dispersion Equations for One-Dimensional Damped Plasma Oscillation
B. V. Alekseeva, A. E. Dubinovb, I. D. Dubinovab a M. V. Lomonosov Moscow State Academy of Fine Chemical Technology
b Federal State Unitary Enterprise "Russian Federal Nuclear Center — All-Russian Research Institute of Experimental Physics", Sarov, Nizhny Novgorod region
Abstract:
Analytical and numerical solutions of dispersion equations describing one-dimensional unsteady-state propagation of perturbation of electric field are derived within the framework of generalized Boltzmann physical kinetics. The solution in the Landau form is defined as a decaying harmonic wave in plasma of electrons with Maxwellian distribution and quiescent ions. The analytical solution of the problem is represented in terms of the Lambert $W$ function. Numerical solutions of the problem are found in a wide range of variation of determining parameters.
Received: 13.07.2004
Citation:
B. V. Alekseev, A. E. Dubinov, I. D. Dubinova, “Analytical and Numerical Solutions of Generalized Dispersion Equations for One-Dimensional Damped Plasma Oscillation”, TVT, 43:4 (2005), 485–491; High Temperature, 43:4 (2005), 479–485
Linking options:
https://www.mathnet.ru/eng/tvt1346 https://www.mathnet.ru/eng/tvt/v43/i4/p485
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