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Decay in time of undriven weakly collisional kinetic plasma turbulence insystems large compared to the ion kinetic scales is investigated using fullyelectromagnetic particle-in-cell simulations initiated with transverse flow andmagnetic disturbances, constant density, and a strong guide field. The observedenergy decay is consistent with the von K\'arm\'an hypothesis of similaritydecay, in a formulation adapted to magnetohydrodyamics (MHD). Kineticdissipation occurs at small scales, but the overall rate is apparentlycontrolled by large scale dynamics. At small turbulence amplitude the electronsare preferentially heated. At larger amplitudes proton heating is the dominanteffect. In the solar wind and corona the protons are typically hotter,suggesting that these natural systems are in large amplitude turbulence regime.

von K\'arm\'an energy decay and heating of protons and electrons in a kinetic turbulent plasma