A synthesis method in the study of linear forced oscillations in a collisionless plasma
- Dipartimento di Energetica, Torino (Italy)
- Universita degli Studi di Bologna, Bologna (Italy)
Linear forced oscillations in a Vlasov plasma are studied using a recently proposed model that generalizes the classic theory of Debye shielding through a space integro-differential equation for the amplitude of the oscillating electric potential. The equation involves a second order space differential operator and an integral term whose kernel depends on ion and electron equilibrium distributions. The integro-differential equation is solved by means of a synthesis method, similar to the techniques usually employed in neutron transport. The kernel of the integral term is split in two parts; the first is a diffusion-like kernel, approximating the exact one, while the second plays the role of a remainder term, to be iterated according to a synthesis scheme. The diffusive kernel contains a free complex parameter, whose optimum value is to be searched in order to accelerate the convergence of the method. The performance of the method is discussed, and results in physically significant cases are shown. 29 refs., 8 figs.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 391358
- Journal Information:
- Transport Theory and Statistical Physics, Vol. 24, Issue 1-3; Other Information: PBD: Jan-Mar 1995
- Country of Publication:
- United States
- Language:
- English
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