Corrigendum

Corrigendum to "Ion and electron heating during magnetic reconnection in weakly collisional plasmas" [J. Plasma Phys. 81, 305810201 (2015)]

There were errors in the evaluation of the spatial distribution of the energy dissipation described in our previously published paper [1]. The energy dissipation is induced by collisions as given by (2.5) in [1], where the collision term consists of the pitch angle scattering plus the energy diffusion and their gyro-diffusive corrections, and the conserving terms [2-3]. However, in [1], we only considered the contribution from the pitch angle scattering and its gyro-diffusive correction. Furthermore, the calculation of the gyro-diffusive correction included an error and was underestimated. We have improved the method to evaluate the spatial distribution of the energy dissipation as summarized in the separate note [4]. Here, we present the corrected version of Fig. 7, 9, 11, 13 in [1]. For all cases, patterns are same as those in [1] although the scales change slightly.

Electron energy dissipation for β_e=0.01, t=10.3. — Spatial distributions of the dissipation rate of electrons for $β_{e} = 0.01$ , corresponding to Fig. 7 in [1].

Electron energy dissipation for β_e=0.01, t=10.3. w/o resistive component. — Spatial distributions of the dissipation rate of electrons for $β_{e} = 0.01$ , corresponding to Fig. 7 in [1].

Electron energy dissipation for β_e=1, t37.8. — Spatial distributions of the dissipation rate of electrons for $β_{e} = 1$ , corresponding to Fig. 9 in [1].

Electron energy dissipation for β_e=1, t40.1. — Spatial distributions of the dissipation rate of electrons for $β_{e} = 1$ , corresponding to Fig. 9 in [1].

Ion energy dissipation for β_e=1, t37.8. — Spatial distributions of the dissipation rate of ions for $β_{e} = 1$ , corresponding to Fig. 11 in [1].

Ion energy dissipation for β_e=1, t46.9. — Spatial distributions of the dissipation rate of ions for $β_{e} = 1$ , corresponding to Fig. 11 in [1].

Electron energy dissipation for β_e=1, t52.7. — Spatial distributions of the dissipation rate of electrons and ions for $β_{e} = 1$ when the plasmoid moves, corresponding to Fig. 13 in [1].

Ion energy dissipation for β_e=1, t52.7. — Spatial distributions of the dissipation rate of electrons and ions for $β_{e} = 1$ when the plasmoid moves, corresponding to Fig. 13 in [1].

As described in [4], we still do not consider the contribution from the conserving terms since they are rather tedious. But, we have confirmed that the conserving terms have only minor effects to the energy dissipation in the nonlinear stage (see [4]). We also note that the time evoluions of the energy dissipation shown in Figs. 4-6 of [1] are calculated in a different way (which we call "the implicit evaluation"), so they do not change.

R. Numata and N. F. Loureiro, J. Plasma Phys. 81, 305010201 (2015).
I. G. Abel, M. Barnes, S. C. Cowely, W. Dorland., and A. A. Schekochihin, Phys. Plasmas 15, 122509 (2008).
M. Barnes, I. G. Abel, W. Dorland., D. R. Ernst, G. Hammett, P. Ricci, B. N. Rogers, A. A. Schekochihin and T. Tatsuno, Phys. Plasmas 16, 072107 (2009).
R. Numata, "Notes on AstroGK collision operators and heating diagnostics", unpublished note (2015). DOI: 10.13140/RG.2.1.5170.0563 [PDF]