Non-thermal processes are still not completely understood in theoretical plasma astrophysics. There is an enormous number of astrophysical objects that emits powerful outbursts of high-energy radiation with non-thermal spectrum like Pulsar Wind Nebulae(PWNe),and Blazars. The ideal Magnetic Hydrodynamics is not always able to explain recent observations on Crab Nebula and Blazars. Magnetic Reconnection (MR) is one of the candidates to explain the most explosive phenomena seen in our Universe, from the topological point of view, MR mechanism is a change in the plasma magnetic fields lines which causes the conversion on site of magnetic energy into kinetic energy: it can impulsively deliver
energy that was accumulated for long times and in large volumes. We will present some results from simulations obtained from
PIC model code (Zeltron) to explain some transient phenomena such as
those observed in the Crab Nebula and Blazars.