Modified Burgers' Equation for Ion Reflection at Quasi-Perpendicular Shocks

Physics – Geophysics

Scientific paper

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4400 Nonlinear Geophysics (3200, 6944, 7839), 6944 Nonlinear Phenomena (4400, 7839), 7839 Nonlinear Phenomena (4400, 6944)

Scientific paper

Much of the helioshperic termination shock is quasi-perpendicular. Because pickup ions are hot, distributed as a thickened shell in velocity space surrounding a cold solar wind core, it is likely that they are preferentially selected for a process of multiple reflection and consequent acceleration in the motional-electric-field. This, along with the reflection of thermal solar wind ions, is a primary dissipation mechanism for the quasi-perpendicular termination shock. A simple quasi-analytic model for this process is obtained by modifying the classical conservation forms of Euler's hydrodynamics equations with the inclusion of source terms to account for the injection of momentum and energy into the shock structure by reflected ions. A perturbation expansion applied to these fluid equations with source terms leads to a modified Burger's equation, which is analyzed and discussed in terms of ion reflection at quasi-perpendicular shocks.

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