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Charged-Particle Motion in Electromagnetic Fields Having at Least One Ignorable Spatial Coordinate

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abstract

We give a rigorous derivation of a theorem showing that charged particles in an arbitrary electromagnetic field with at least one ignorable spatial coordinate remain forever tied to a given magnetic-field line. Such a situation contrasts the significant motions normal to the magnetic field that are expected in most real three-dimensional systems. It is pointed out that, while the significance of the theorem has not been widely appreciated, it has important consequences for a number of problems and is of particular relevance for the acceleration of cosmic rays by shocks.

fields

astro-ph.HE 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Polarized 3D Synthetic Turbulence I: Magnetic Field Line Random Walk astro-ph.HE · 2026-05-21 · unverdicted · none · ref 34 · internal anchor

    Magnetosonic polarization in synthetic turbulence produces field-line diffusion scaling as (δB/B)^4 with subdiffusion matching MHD simulations, unlike the (δB/B)^2 scaling for random polarization.