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Turbulence is ubiquitous in plasmas, leading to rich dynamics characterizedby irregularity, irreversibility, energy fluctuations across many scales, andenergy transfer across many scales. Another fundamental and generic feature ofturbulence, although sometimes overlooked, is the inhomogeneous dissipation ofenergy in space and in time. This is a consequence of intermittency, thescale-dependent inhomogeneity of dynamics caused by fluctuations in theturbulent cascade. Intermittency causes turbulent plasmas to self-organize intocoherent dissipative structures, which may govern heating, diffusion, particleacceleration, and radiation emissions. In this paper, we present recentprogress on understanding intermittency in incompressible magnetohydrodynamicturbulence with a strong guide field. We focus on the statistical analysis ofintermittent dissipative structures, which occupy a small fraction of thevolume but arguably account for the majority of energy dissipation. We showthat, in our numerical simulations, intermittent structures in the currentdensity, vorticity, and Els\"{a}sser vorticities all have nearly identicalstatistical properties. We propose phenomenological explanations for thescalings based on general considerations of Els\"{a}sser vorticity structures.Finally, we examine the broader implications of intermittency for astrophysicalsystems.

Scalings of intermittent structures in magnetohydrodynamic turbulence