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Numerical modeling of electrodynamic aggregation is carried out for a randomensemble of magnetized nanodust taken as a many body system of stronglymagnetized thin rods (i.e., one-dimensional static magnetic dipoles), whichpossess electric conductivity and static electric charge, screened with its ownstatic plasma sheath. The self-assembling of quasi-linear filaments from anensemble of randomly situated basic blocks and the electric short-circuitingbetween biased electrodes are shown to be supported by the alignment of blocksin an external magnetic field. Statistical analysis of short-circuiting timeallows tracing the dynamic percolation of electric conductivity and shows adecrease of percolation threshold for volume fraction, as compared with theobserved percolation of carbon nanotubes in liquids and polymer composites.Modeling of short-circuiting stage of evolution is continued with tracing thedynamics of pinching of electric current filaments to show the interplay of allthe magnetic and electric mechanisms of filaments networking. A trend towards afractal skeletal structuring (namely, repeat of original basic block at alarger length scale) is illustrated with the evidence for generation of abigger magnetic dipole.

Dynamic percolation of electric conductivity and a trend towards fractal skeletal structuring in a random ensemble of magnetized nanodust