The convective growth of the beam–plasma instability

Rowland, H. L.
March 1989
Physics of Fluids B: Plasma Physics;Mar89, Vol. 1 Issue 3, p700
Academic Journal
Using a newly modified version of a low noise Vlasov code, a series of simulations studying the convective growth of the cold-beam, warm-plasma instability is performed. The scalings of spatial growth on beam density and velocity are in good agreement with earlier theoretical predictions. In agreement with Bers [Basic Plasma Physics (North Holland, Amsterdam, 1983), p. 451], the spatial growth rate ki λD =γ/(v1v2v3 )1/3, where γ is the temporal growth rate and vα is the linear group velocity of the three modes coupled by the instability. For the cold-beam, warm-plasma instability, this reduces to the standard formula ki λD =(3)1/2/2 (nb ve /6npvb)1/3.


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