  The nature of the cross-scale connections between the inertial range
turbulent energy cascade and the small-scale kinetic processes in collisionless
plasmas is explored through the analysis of two-dimensional Hybrid
Vlasov-Maxwell numerical simulation (HVM), with alpha particles, and through a
proxy of the turbulent energy transfer rate, namely the Local Energy Transfer
rate (LET). Correlations between pairs of variables, including those related to
kinetic processes and to deviation from Maxwellian distributions, are first
evidenced. Then, the general properties and the statistical scaling laws of the
LET are described, confirming its reliability for the description of the
turbulent cascade and revealing its textured topology. Finally, the connection
between such proxy and the diagnostic variables is explored using conditional
averaging, showing that several quantities are enhanced in the presence of
large positive energy flux, and reduced near sites of negative flux. These
observations can help determining which processes are involved in the
dissipation of energy at small scales, as for example ion-cyclotron or mirror
instabilities typically associated with perpendicular anisotropy of
temperature.
