Self-similar transport processes in a two-dimensional realization of multiscale magnetic field turbulence

摘要: We present the results of a numerical investigation charged-particle transport across synthesized magnetic configuration composed constant homogeneous background field and multiscale perturbation component simulating an effect turbulence on microscopic particle dynamics. Our main goal is to analyze dispersion ideal test particles faced diverse conditions in turbulent domain. Depending amplitude input velocity, we observe distinct regimes ranging from subdiffusion guiding centers limit Hamiltonian dynamics random walks percolating fractal array further nearly diffusive behavior mean-square displacement versus time. In all cases, find complex structure motion revealing long-time rests trapping phenomena, sporadically interrupted by phases active cross-field propagation reminiscent Levy-walk statistics. These features persist even when diffusive. An interpretation obtained proposed connection with fractional kinetics paradigm extending properties far beyond conventional picture Brownian motion. A calculation exponent for lattice advocated topological arguments. intriguing indication approach gap separating Hamiltonian-like walk-like dynamics, supported through simulation.