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Recent fully nonlinear, kinetic three-dimensional simulations of magneticreconnection [Daughton et al. 2011] evolve structures and exhibit dynamics onmultiple scales, in a manner reminiscent of turbulence. These simulations ofreconnection are among the first to be performed at sufficient spatio-temporalresolution to allow formal quantitative analysis of statistical scaling whichwe present here. We find that the magnetic field fluctuations generated byreconnection are anisotropic, have non-trivial spatial correlation and exhibitthe hallmarks of finite range fluid turbulence; they have non-Gaussiandistributions, exhibit Extended Self-Similarity in their scaling and arespatially multifractal. Furthermore, we find that the field J.E is alsomultifractal, so that magnetic energy is converted to plasma kinetic energy ina manner that is spatially intermittent. This suggests that dissipation in thissense in collisionless reconnection on kinetic scales has an analogue influid-like turbulent phenomenology, in that it proceeds via multifractalstructures generated by an intermittent cascade.

Identification of intermittent multi-fractal turbulence in fully kinetic simulations of magnetic reconnection