Disruption of Alfvénic Turbulence by Magnetic Reconnection in a Collisionless Plasma

We propose a mechanism whereby the intense, sheet-like structures naturally formed by dynamically aligning Alfvénic turbulence are destroyed by the onset of magnetic reconnection at a scale λD, which we term the "disruption scale". The scaling of λD depends on the order of the statistics being considered, with more intense structures being disrupted at larger scales, and on the physical mechanism which effects the reconnection. In a low-β collisionless plasma, the disruption scale for the structures which dominate the energy spectrum is λD∼L⊥(deρs)4/9, where de is the electron inertial scale, ρs is the ion sound scale, and L⊥ is the outer scale of the turbulence. When βe and ρs/L⊥ are sufficiently small, λD is larger than ρs and there is a break in the energy spectrum at λD, rather than at ρs. We predict that the energy spectrum in the short range of scales between λD and ρs is steeper than k⊥-3, when this range exists. Such a "transition range" is sometimes observed in the solar wind turbulence. We further propose that the structures produced by the disruption process are circularised flux ropes, which may have already been observed in the solar wind. We make predictions for the amplitude and radius of these structures, and quantify the importance of the reconnection process by estimating the fraction of the remaining undisrupted structures at the ion scale. We show that at low enough βe, the disruption process significantly alters the nature of the fluctuations present at the ion scale, which provide the starting point for the sub-ion-scale kinetic-Alfvén-wave cascade. Thus, magnetic reconnection is shown to be crucially important to the turbulent cascade.