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The nature of the cross-scale connections between the inertial rangeturbulent energy cascade and the small-scale kinetic processes in collisionlessplasmas is explored through the analysis of two-dimensional HybridVlasov-Maxwell numerical simulation (HVM), with alpha particles, and through aproxy of the turbulent energy transfer rate, namely the Local Energy Transferrate (LET). Correlations between pairs of variables, including those related tokinetic processes and to deviation from Maxwellian distributions, are firstevidenced. Then, the general properties and the statistical scaling laws of theLET are described, confirming its reliability for the description of theturbulent cascade and revealing its textured topology. Finally, the connectionbetween such proxy and the diagnostic variables is explored using conditionalaveraging, showing that several quantities are enhanced in the presence oflarge positive energy flux, and reduced near sites of negative flux. Theseobservations can help determining which processes are involved in thedissipation of energy at small scales, as for example ion-cyclotron or mirrorinstabilities typically associated with perpendicular anisotropy oftemperature.

Local energy transfer rate and kinetic processes: the fate of turbulent energy in two-dimensional Hybrid Vlasov-Maxwell numerical simulations