Merging of slow-mode compressive waves in low-β plasma

Physics – Plasma Physics

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Interplanetary Physics: Interplanetary Shocks, Space Plasma Physics: Nonlinear Phenomena, Space Plasma Physics: Shock Waves, Space Plasma Physics: Wave/Wave Interactions

Scientific paper

A unsteady one-dimensional model can be used to study the interaction of two colliding streams for the formation of MHD shocks. If both β and θ are small, the interaction evolves to a shock system consisting of slow shocks only. At increasing β and θ, the interaction may evolve to a system consisting of both slow and fast shocks and eventually to a system consisting of fast shocks only. We study the merging rates of neighboring characteristic curves for compressive waves associated with the interaction region. We first study a linearized wave system produced by an initial small perturbation. The results show that at small β and θ, the merging rate of neighboring characteristic curves for the slow-mode compressive waves is far greater than that for the fast-mode compressive waves. Then we use a nonlinear example to demonstrate that at small β and θ, the slow-mode characteristic curves merge rapidly to form a pair of slow shocks, while there is no merging of fast-mode characteristic curves. The results explain why β and θ have an important effect on the nature of shocks.

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