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Author(s):
T. Yamagishi
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Title:
Eigenfunctions for Vlasov Equation in Multi-species Plasmas
Date of publication:
Nov. 1998
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Key words:
Vlasov equation, muti-species plasma, normal modes, adjoint equation, orthogonality, complete set of eigenfunctions, initial value problem, Van Kampen mode, ballistic mode
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Abstract:
The normal mode expansion method for the Vlasov equation has been developed to multi-species plasmas in an infinite system. The perturbed charge density for the Vlasov-Poisson system in muti-species plasmas is found be the same form as the perturbed distribution function in a single species plasma. The eigenfunctions and adjoint eigenfunctions, and the orthogonality relations between them have been derived. The complete set of eigenfunctions for the charge density is constructed, which has been applied for the initial value problems. The continuum contribution consists of the ballistic mode and pure continuum contribution. Scalar potential and each species distribution function are also solved making use of the complete set of eigenfunctions.
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