In this erratum letter we correct a mistake in the characteristics for differential density N obtained in 2014ApJ...788...42D} from the updated continuity equation for electron density and compare the solutions for electron density N obtained from continuity equations (CEs) for electron flux Nv and for electron density. We show that the corrected solution for N obtained from CE for electron density still has an additional exponential term of (E^{2}+2a\xi)^{-1/4} comparing to the solution found from continuity equation for electron flux. This updated solution produces power law differential spectra of beam electrons as function of E^{2}+2a\xi having a spectral index equal to -\frac{\gamma+1}{2} and not to -\frac{\gamma+0.5}{2} as it appears from the continuity equation for electron flux Nv. This updated solution is exactly the one reported by \citet{Syrovatsky72} indicating that their solution has been derived from CE for electron density and not for electron flux as stated in their paper. The difference in the spectral indices in energy spectra is also reflected in the spectral indices for mean electron spectra with a spectral index to be equal to \gamma-2, similar to \citet{Syrovatsky72, for the solutions from CE for electron density and equal to \gamma-2.5 if continuity equation for electron flux is used.

Authors: Dobranskis R.R. and Zharkova V.V.
Projects: None

Publication Status: ApJ subm. on 26 July '14
Last Modified: 2014-08-20 09:47