Some diffusion equations in plasma physics

Publisher Website
Google Scholar
Abstract
Unstable diffusion equations of the form [∂t−∂xD (x) ∂x] f (x,t) =γ (x) f (x,t) are studied. In the absence of the dissipation function γ (x), the Green’s function of the equation when D≈x−n (n is an even integer) is derived. Considering the propagation of unstable modes, the overall growth rate of the distribution of the modes, when γ (x) is a sharply peaked function, is evaluated. The three‐dimensional propagation of unstable modes for the case D=Cte are also considered. It is shown that the diffusion may suppress the instability of the modes.

This publication has 0 references indexed in Scilit: