Global and Multi-scale Dynamics of the Magnetosphere: The Predictable and the Unpredictable

Physics

Scientific paper

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2740 Magnetospheric Configuration And Dynamics, 2784 Solar Wind/Magnetosphere Interactions, 2788 Storms And Substorms, 7839 Nonlinear Phenomena, 7859 Transport Processes

Scientific paper

The global or coherent dynamics of the Earth's magnetosphere during substorms is evident in many observations as well as simulations. These features were obtained from nonlinear dynamical studies as the low dimensional behavior and have led to models based on local-linear filters with high predictabilty. However, there are significant deviations from the low-dimensional picture which represent the multi-scale characteristics. This latter feature have scale-invariant properties and are not precitable by local-linear filters. These two aspects of the magnetospheric dynamics can be unified in the framework of nonequilibrium phase transitions. The global dynamics, obtained by an averaging of the dynamical trajectories, is akin to the mean field behavior and is represented by a first order phase transition. The multi-scale features of the magnetospheric activity resembles second-order phase transitions and is characterized by a critical exponent computed using a "temperature-pressure-density" diagram. The multi-scale behavior is evident in the residual magnetospheric response obtained by subtracting the global response and has clear power law characteristics.

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