Structure of Aristotelian Electrodynamics
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Aristotelian electrodynamics (AE) describes the regime of a plasma with a very strong electric field that is not shorted out, with charge current determined completely by pair production and the balance of Lorentz 4-force against curvature radiation reaction. Here it is shown how the principal null directions and associated eigenvalues of the field tensor govern AE, and how force-free electrodynamics arises smoothly from AE when the eigenvalues (and therefore the electric field in some frame) vanish. A criterion for validity of AE is proposed in terms of a pair of "field curvature scalars" formed from the first derivative of the principal null directions.
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Continuation of Force-Free Electrodynamics upon the loss of magnetic dominance
A null-field continuation of force-free electrodynamics, with geodesic principal null directions, is introduced and shown to match 1D PIC simulations after loss of magnetic dominance in Alfvén wave collisions and type...
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