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The analysis of the Parker-Moffatt problem, recently revisited in Pezzi etal. (2016), is here extended by including the Hall magnetohydrodynamics and twohybrid kinetic Vlasov-Maxwell numerical models. The presence of dispersive andkinetic features is studied in detail and a comparison between the two kineticcodes is also reported. Focus on the presence of non-Maxwellian signaturesshows that - during the collision - regions characterized by strong temperatureanisotropy are recovered and the proton distribution function displays a beamalong the direction of the magnetic field, similar to some recent observationsof the solar wind.

Colliding Alfv\'enic wave packets in MHD, Hall and kinetic simulations