Vlasov theory of plasma oscillations: Linear approximation
1977; AIP Publishing; Volume: 20; Issue: 8 Linguagem: Inglês
10.1063/1.862000
ISSN2163-4998
AutoresM. D. Arthur, William Greenberg, P. F. Zweifel,
Tópico(s)Advanced Thermodynamics and Statistical Mechanics
ResumoA functional analytic approach to the linearized collisionless Vlasov equation is presented utilizing a resolvent integration technique on the resolvent of the transport operator evaluated at a particular point. Formulae for the eigenfunction expansion are found for cases in which the plasma disperion function Λ has first and second order zeroes. Special care is taken in the study of real zeroes of Λ culminating in new results for this case. For a simple zero of Λ with nonvanishing imaginary part the van Kampen–Case discrete modes are reproduced. The results are used to obtain the solution to the initial value problem.
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