Chaotic behaviour of high Mach number flows

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Chaos, Mach Number, Magnetohydrodynamic Flow, Magnetohydrodynamic Stability, Shock Waves, Space Plasmas, Autocorrelation, Hamiltonian Functions, Magnetic Fields, Magnetohydrodynamic Turbulence, Plasma Equilibrium, Stochastic Processes, Two Fluid Models

Scientific paper

The stability of the superalfvénic flow of a two-fluid plasma model with respect to the Mach number and the angle between the flow direction and the magnetic field is investigated. It is found that, in general, a large scale chaotic region develops around the initial equilibrium of the laminar flow when the Mach number exceeds a certain threshold value. After reaching a maximum the size of this region begins shrinking and goes to zero as the Mach number tends to infinity. As a result high Mach number flows in time independent astrophysical plasmas may lead to the formation of "quasi-shocks" in the presence of little or no dissipation.

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