Konstantin Batygin, with David J. Stevenson, proposed Ohmic heating of a giant planet as a mechanism for oversized hot Jupiters. Their model used the interaction between atmospheric winds and the planetary magnetic field to drive electric currents into deeper conducting material.[ref]
Inflating Hot Jupiters With Ohmic Dissipation by Konstantin Batygin and David J. Stevenson. Abstract and structural/electrical model
In the simple resistive description, local irreversible heating is , with current density magnitude and electrical conductivity . Predicting a total power still requires the spatial current distribution and its closure; choosing a large wind speed alone is not a complete heating calculation.
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