A refined similarity hypothesis for Magnetohydrodynamic turbulence

Physics – Plasma Physics

Scientific paper

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[2149] Interplanetary Physics / Mhd Waves And Turbulence, [7827] Space Plasma Physics / Kinetic And Mhd Theory, [7839] Space Plasma Physics / Nonlinear Phenomena, [7863] Space Plasma Physics / Turbulence

Scientific paper

Kolmogorov's refined similarity hypotheses (K62) for high-Reynolds-number hydrodynamic (HD) turbulence relate the statistics of velocity increments to the local average of energy dissipation, recognizing the intermittency of dissipation. Although not proven, these hypotheses have been widely recognized and tested in HD turbulence, and they have also been shown to hold true for other stochastic processes. In this work, we extend Kolmogorov's hypotheses to high-Reynolds-number magnetohydrodynamics (MHD) by proposing a form with mixed Elsasser variables, contrasting in this way to several prior suggestions. This extension is examined with high-resolution simulations of MHD turbulence and compared with results from hydrodynamic turbulence simulations. Implications for solar wind turbulence are discussed, including multifractal structure, relationship to the third order law, structure of the cascade, and signatures of dissipation.

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