Abstract

Unstable modes growing when two plasma shells cross over a background plasma at arbitrary angle θ, are investigated using a non-relativistic three cold fluids model. Parallel flows with θ = 0 are slightly more unstable than anti-parallel ones with θ = π . The case θ = π / 2 is as unstable as the θ = 0 one, but the fastest growing modes are oblique. While the most unstable wave vector varies with orientation, its growth rate slightly evolves and there is no such thing as a stable configuration. A number of exact results can be derived, especially for the θ = π / 2 case.

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