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ERRATUM: "Exact Analytical Solutions of Continuity Equation for Electron Beams Precipitating in Coulomb Collisions" View all abstracts by submitter

Valentina Zharkova   Submitted: 2014-08-19 03:21

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 (E2+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 E2+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
Go to main E-Print page  A study of density modulation index in the inner heliospheric solar  wind during solar cycle 23  Waiting time distribution of solar energetic particle events modeled with a non-stationary Poisson process  Edit Entry  Download Preprint  Submitter's Homepage Delete Entry 

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