Abstract
We consider the problem of a self-consistent determination of an essentially inhomogeneous equilibrium state of classical plasma. The solutions of the stationary Vlasov–Poisson equations are constructed in the form of a localized transition layer that separates the domains of homogeneous plasmas with different equilibrium parameters. The layer can also transform into a local perturbation inside a homogeneous plasma. In both cases, the solution contains neither mass currents nor electric currents, and all electrodynamic and hydrodynamic quantities and their derivatives are continuous. The parameters of the adjacent domains uniquely determine the transition layer structure.
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Aleshin, I.M., Trubachev, O.O. Equilibrium State of Inhomogeneous Plasma. Theoretical and Mathematical Physics 138, 134–141 (2004). https://doi.org/10.1023/B:TAMP.0000010641.32100.cc
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DOI: https://doi.org/10.1023/B:TAMP.0000010641.32100.cc