{'fraction_non_alphanumeric': 0.013127413127413128, 'fraction_numerical': 0.0007722007722007722, 'mean_word_length': 5.8936170212765955, 'pattern_counts': {'":': 0, '<': 0, '<?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}}
Multiple steady state co-rotating dust vortices in streaming plasma

The 2D vorticity–stream function hydrodynamic model is applied to dust clouds electrostatically confined in an unbounded and streaming plasma. The vortex flow structure of the volumetrically driven dust cloud is analyzed systematically for different aspect ratios (ARs) of the bounded dust domain, exploring linear and nonlinear regimes of flow for a range of the kinematic viscosity. These results show the interplay between inertial and diffusive transport processes involving structural changes in dust vortex flow that develops asymmetry and shows a regular sequence of structural bifurcations at threshold kinematic viscosity corresponding to a change in the AR value by nearly an integer. Agreement with many experimental observations is recovered, where the generation of newer self-similar multiple co-rotating vortices is observed. The exclusive dependence of subsequent structural transitions on the flow domain AR is analyzed based on the properties of numerical solutions. These nonlinear solutions allow understanding of the underlying nonlinear characteristics of self-similar co-rotating vortices in experiments and their behavioral similarities with various relevant complex driven–dissipative natural systems.