Vlasov theory of plasma oscillations: Linear approximation
Journal Article
·
· Phys. Fluids; (United States)
A 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 ..lambda.. has first and second order zeroes. Special care is taken in the study of real zeroes of ..lambda.. culminating in new results for this case. For a simple zero of ..lambda.. 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.
- Research Organization:
- Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
- OSTI ID:
- 7318722
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 20:8; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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