Application of the Novikov-Furutsu theorem to the random acceleration problem
- 1 April 1978
- journal article
- Published by IOP Publishing in Plasma Physics
- Vol. 20 (4) , 349-359
- https://doi.org/10.1088/0032-1028/20/4/006
Abstract
The problem of calculating the average propagator of a particle accelerated by a turbulent electric field is treated in a new way. Using a theorem of Novikov (1965) and Furutsu (1963), the formulation of the problem is transformed into one in which the random field does not appear explicitly. A hierarchy of approximations is devised which converges on a closed equation for the propagator. This leads to a Dupree-like theory, but with short-time, rather than long-time, propagators in the resonance functions.Keywords
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