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-changing solutions.
Pfeiffer and Andrew I
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abstract
We analyze the equations of relativistic magnetized plasma dynamics in the limiting case that electromagnetic stress-energy is dominant over pressure and rest mass energy density. The naive formulation of these equations is shown to be not hyperbolic. Modifying the equations by terms that vanish for all physical solutions, we obtain a symmetric hyperbolic evolution system, which should exhibit improved numerical behavior.
years
2026 2representative citing papers
An ansatz reduces force-free electrodynamics in Minkowski space to a semilinear wave equation, enabling explicit solutions including type-changing and kink-type field configurations.
citing papers explorer
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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-changing solutions.
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A Semilinear Wave Sector in Force-Free Electrodynamics
An ansatz reduces force-free electrodynamics in Minkowski space to a semilinear wave equation, enabling explicit solutions including type-changing and kink-type field configurations.