the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Non-Maxwellian electron distributions in the D region during artificial heating (Paper II): Electron cooling rates
Abstract. This paper investigates how non-Maxwellian distributions of heated electrons modify the macroscopic properties of the electron gas in the D region. Adjusted electron cooling rates for vibrational excitation of molecular nitrogen and molecular oxygen, as well as excitation of fine structure levels in atomic oxygen, are presented. These electron cooling rates are compared to Maxwellian cooling rates from previous studies by Pavlov (1998a), Campbell et al. (2004) , Pavlov (1998b) and Pavlov (1998). We find that the electron cooling rates for vibrational excitation of molecular nitrogen and excitation of fine structure levels in atomic oxygen are more affected by deviations from Maxwellian compared to the cooling rates for vibrational excitation of molecular oxygen. This is due changes in the electron phase space density, where inelastic collision between electrons and neutrals leads to redistribution of electrons.
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Status: open (until 16 Oct 2026)
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RC1: 'Comment on egusphere-2026-1118', Anonymous Referee #1, 23 Apr 2026
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AC1: 'Reply on RC1', Margaretha Myrvang, 02 Jun 2026
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We would like to thank referee #1 for taking their time to give kind and helpful comments to improve our manuscript.
In the revised manuscript, we will include all the suggested improvements and corrections given by referee #1, and correct the typo errors pointed out. As of now, we are waiting for the comments from referee #2.Citation: https://doi.org/10.5194/egusphere-2026-1118-AC1
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AC1: 'Reply on RC1', Margaretha Myrvang, 02 Jun 2026
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RC2: 'Comment on egusphere-2026-1118', Anonymous Referee #1, 01 Jun 2026
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See the supplement.
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RC3: 'Comment on egusphere-2026-1118', Anonymous Referee #2, 24 Sep 2026
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I think this paper is a solid contribution to the literature on the effects of radio wave heating in the lower ionosphere. It argues that the non-Maxwellian nature of the electron thermal velocity distribution can significantly modify the properties of the electron gas, with higher cooling rates that cannot be reproduced by simply assuming a Maxwellian, and also with effects on refractive index, collision frequency and absorption of radio wave energy. This is an important result, which is quantified by detailed modelling of the differences in the cooling rates. Hence I think this paper is well worthy of publication. I have a few very small suggestions to improve the wording of the text as follows:
Line 7: This is due to changes...
Line 13: ...analytical expressions...
Line 31: ...using cross sections from....
Line 33: ....cooling rate correction factors....
Line 36: These ratios can be used as correction factors....
Line 60: The electron cooling rate represents....
Line 67: .....as those derived from equations (6) and (7), below.
Line 116: respectively (not receptively)
Line 124: Notably, at 80 km.....
Line 142 ...the electron gas absorbs a constant amount of heat, other cooling processes must increase to balance....
Line 146: .....correspond to two different rates of energy flow....
Line 160: This shows that a Maxwellian...
Line 168: This figure illustrates...
Line 172: TL remains below 3500 K.
Line 190: Our solution of the Boltzmann equation...
Line 191: ..does not uniquely specify the distribution function. It is therefore insufficient....
Line 196: collisions dominate....
Line 203: ...while this work applies....
Line 205: ....one order of magnitude difference....
Line 208: ...since HF radio waves primarily heat...
Line 209: ....the results presented in this paper can be utilized...
Line 214: This contrasts with our results, which are Non-Maxwellian mainly due to the N2 cut-off...
Line 217: ...becomes important enough to be taken into account....
Line 233: ...their cross-sections are large....
Citation: https://doi.org/10.5194/egusphere-2026-1118-RC3
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See the attached PDF supplement.