Empirical Magnetic Field and Quasi-static Force-Balance Equilibrium Models

Statistics – Applications

Scientific paper

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2730 Magnetosphere: Inner, 2740 Magnetospheric Configuration And Dynamics, 2753 Numerical Modeling

Scientific paper

This study describes the limitations and applicability of empirical magnetic field models such as Tsyganenko's T96 to a variety of applications in which a self-consistent picture of magnetic fields in equilibrium with magnetospheric plasma is needed. Empirical field models are widely used for a variety of applications, ranging from mapping along the field lines to modeling of Birkeland currents, field-line resonance and ballooning instabilities. Most of these studies use the empirical field model in conjunction with various plasma pressure profiles. However, there is no force balance between the pressure and the magnetic forces, and if one computes the pressure in local force balance with the field, the pressure is not constant along B. Here we propose improving empirical models such as T96 by computing magnetic fields and currents in force equilibrium with observed pressure profiles. Our approach involves solving the 3-D force equilibrium equation in a flux coordinate system with the magnetic field represented by two Euler potentials, and using observation-based pressure distributions and appropriate boundary conditions based on the empirical field model. We will stress the differences between the computed self-consistent physical quantities and the ones in the empirical model representation. For example, it is found that the computed Birkeland currents in particular are quite different from the currents built in T96. Studying these differences under various magnetospheric conditions allows one to determine when empirical models are appropriate and when they are not.

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