Geodesic
An~analytic solution of the Vlasov--Maxwell equations in the skin effect problem with electron-electron collisions
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 3, pp. 76-85

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We solve the skin effect problem analytically in the case that electron-electron collisions start affecting the properties of a Maxwell plasma. We apply a two-parameter kinetic equation to take these collisions into account. We find analytic expressions for the electric field, electron distribution, and impedance accounting for the collisions. We analyze impedance near the plasma resonance.
Keywords: mirror scattering, two-parameter kinetic equation, skin effect, plasma resonance.
Mots-clés : impedance 
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     author = {A. V. Latyshev and T. V. Tereshina and A. A. Yushkanov},
     title = {An~analytic solution of the {Vlasov--Maxwell} equations in the skin effect problem with electron-electron collisions},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {76--85},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2010_13_3_a9/}
}
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A. V. Latyshev; T. V. Tereshina; A. A. Yushkanov. An~analytic solution of the Vlasov--Maxwell equations in the skin effect problem with electron-electron collisions. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 3, pp. 76-85. http://geodesic.mathdoc.fr/item/SJIM_2010_13_3_a9/