Representative scan profiles used to identify the different kinds of dissipation structures in our simulations (here, for the ABC simulation at P_m = 1 at time t = t_turnover/3). The first four rows of plots show, respectively, velocities (in the local velocity frame of the scan, and normalised by the initial r.m.s Alfvén speed), dissipation rates, density and total pressure, and magnetic field components’ profiles. The last row shows gradient decomposition into ideal waves. The coloured surfaces in between the curves is proportional to the weight of each corresponding ideal wave (in the decomposition presented in Sect. 2.4). Vertical dashed lines on each plot mark the positions of pre- and post-discontinuity that we define in Sect. 3.2.2.