{'fraction_non_alphanumeric': 0.03863432165318958, 'fraction_numerical': 0.005390835579514825, 'mean_word_length': 5.6706586826347305, 'pattern_counts': {'":': 0, '<': 1, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Kelvin-Helmholtz vortex formation and particle transport in a cross-field plasma sheath.

The steady‐state behavior of the magnetized plasma–wall sheath has been studied through two‐dimensional particle simulations, which have shown that the sheath maintains itself in a strongly nonlinear, turbulent equilibrium, continuously driven by the edge Kelvin–Helmholtz instability. The sheath assumes a thickness of order lx∼5ρi, and maintains large, long‐lived vortices, with amplitudes δφ∼2.5Ti/e, which drift parallel to the wall at half the ion thermal velocity. The sheath also maintains a large, spatially averaged potential drop from the wall to the plasma with Δφ≊−2Ti/e, opposite in sign to that of the unmagnetized sheath. Accompanying the long‐wavelength vortices are shorter‐wavelength fluctuations, which induce an anomalous cross‐field transport, scaling in accordance to Bohm diffusion when ωpi≥2ωci. At lower densities, ωpi<2ωci, the diffusion coefficient has an additional factor, proportional to the density. These results permit the modeling of the cross‐field sheath by a simple effective boundar...