Nondegenerate plasma with a diffusive boundary condition in a high-frequency electric field near resonance
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 121-128 Cet article a éte moissonné depuis la source Math-Net.Ru

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An analytical solution of the linearized problem concerning the behavior of collisional non-degenerate plasma in an external electric field is obtained. It is assumed that the electrons are diffusively scattered from the plasma boundary. The resulting solution is used to determine the screening field. The case of a high-frequency external field with a frequency close to the plasma resonance frequency is examined.
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A. V. Latyshev; A. A. Yushkanov. Nondegenerate plasma with a diffusive boundary condition in a high-frequency electric field near resonance. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 121-128. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a11/

[1] Vlasov A. A., “O vibratsionnykh svoistvakh elektronnogo gaza”, Zh. eksperim. i teor. fiz., 8:3 (1938), 291–318 | Zbl

[2] Landau L. D., “O kolebaniyakh elektronnoi plazmy”, Sobr. trudov, v. 2, Nauka, M., 1969, 7–25; Ж. эксперим. и теор. физ., 26:7 (1946), 547–586

[3] Gokhfeld V. M., Gulyanskii M. A., Kaganov M. I., Plyavenek A. G., “Neeksponentsialnoe zatukhanie elektromagnitnogo polya v normalnykh metallakh”, Zh. eksperim. i teor. fiz., 89:3(9) (1985), 985–1001

[4] Latyshev A. B., Yushkanov A. A., “Plazma v vysokochastotnom elektricheskom pole s zerkalnym usloviem na granitse”, Izv. RAN. Ser. Mekhan. zhidkosti i gaza, 2006, no. 1, 165–177 | MR

[5] Van-Kampen, Dispersionnoe uravnenie dlya voln v plazme, Izd-vo inostr. lit., M., 1961, 57–70 pp.

[6] Lifanov I. K., Metod singulyarnykh integralnykh uravnenii i chislennyi eksperiment (v matematicheskoi fizike, aerodinamike, teorii uprugosti i difraktsii voln), TOO “Yanus”, M., 1995 | MR | Zbl

[7] Latyshev A. B., Yushkanov A. A., “Elektronnaya plazma v poluprostranstve metalla v peremennom elektricheskom pole”, Zh. vychisl. matem. i matem. fiz., 41:8 (2001), 1229–1241 | MR | Zbl

[8] Kadomtsev B. B., Kollektivnye yavleniya v plazme, Nauka, M., 1988 | MR | Zbl