The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Relativistic theory of wave‐particle resonant diffusion with application to electron acceleration in the magnetosphere
Abstract
Resonant diffusion curves for electron cyclotron resonance with field‐aligned electromagnetic R mode and L mode electromagnetic ion cyclotron (EMIC) waves are constructed using a fully relativistic treatment. Analytical solutions are derived for the case of a single‐ion plasma, and a numerical scheme is developed for the more realistic case of a multi‐ion plasma. Diffusion curves are presented, for plasma parameters representative of the Earth's magnetosphere at locations both inside and outside the plasmapause. The results obtained indicate minimal electron energy change along the diffusion curves for resonant interaction with L mode waves. Intense storm time EMIC waves are therefore ineffective for electron stochastic acceleration, although these waves could induce rapid pitch angle scattering for ≳ 1 MeV electrons near the duskside plasmapause. In contrast, significant energy change can occur along the diffusion curves for interaction between resonant electrons and whistler (R mode) waves. The energy change is most pronounced in regions of low plasma density. This suggests that whistler mode waves could provide a viable mechanism for electron acceleration from energies near 100 keV to above 1 MeV in the region outside the plasmapause during the recovery phase of geomagnetic storms. A model is proposed to account for the observed variations in the flux and pitch angle distribution of relativistic electrons during geomagnetic storms by combining pitch angle scattering by intense EMIC waves and energy diffusion during cyclotron resonant interaction with whistler mode chorus outside the plasmasphere.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Ordinary Differential Equations
Lonseth, A. T., & Ince, E. L. (1945) · National Mathematics Magazine · doi:10.2307/3029974 · Cited by 3,123
Stix, T. H., & Scott, F. R. (1963) · American Journal of Physics · doi:10.1119/1.1969127 · Cited by 1,890
Particle Diffusion in the Radiation Belts
Schulz, M., & Lanzerotti, L. J. (1974) · Physics and Chemistry in Space · doi:10.1007/978-3-642-65675-0 · Cited by 1,152
Postmidnight chorus: A substorm phenomenon
Tsurutani, B. T., & Smith, E. J. (1974) · Journal of Geophysical Research · doi:10.1029/ja079i001p00118 · Cited by 683
Horne, R. B., & Thorne, R. M. (1998) · Geophysical Research Letters · doi:10.1029/98gl01002 · Cited by 633
Self-citationTurbulent loss of ring current protons
Cornwall, J. M., Coroniti, F. V., & Thorne, R. M. (1970) · Journal of Geophysical Research · doi:10.1029/ja075i025p04699 · Cited by 544
Self-citationRelativistic electron precipitation during magnetic storm main phase
Thorne, R. M., & Kennel, C. F. (1971) · Journal of Geophysical Research · doi:10.1029/ja076i019p04446 · Cited by 451
Self-citationLi, X., Roth, I., Temerin, M., Wygant, J. R., Hudson, M. K., & Blake, J. B. (1993) · Geophysical Research Letters · doi:10.1029/93gl02701 · Cited by 449
Swanson, D. G. (1989) · Institute of Physics eBooks · doi:10.1887/075030927x · Cited by 327
Blake, J. B., Baker, D. N., Turner, N., Ogilvie, K. W., & Lepping, R. P. (1997) · Geophysical Research Letters · doi:10.1029/97gl00859 · Cited by 188
Cited by
Summers, D., & Thorne, R. M. (2003) · Journal of Geophysical Research: Space Physics · doi:10.1029/2002ja009489 · Cited by 733
Self-citationWave acceleration of electrons in the Van Allen radiation belts
Horne, R. B., Thorne, R. M., Shprits, Y. Y., Meredith, N. P., Glauert, S. A., Smith, A. J., Kanekal, S. G., Baker, D. N., Engebretson, M. J., Posch, J. L., et al. (2005) · Nature · doi:10.1038/nature03939 · Cited by 622
Self-citationSummers, D., Ni, B., & Meredith, N. P. (2007) · Journal of Geophysical Research: Space Physics · doi:10.1029/2006ja011993 · Cited by 560
Self-citationShprits, Y. Y., Subbotin, D. A., Meredith, N. P., & Elkington, S. R. (2008) · Journal of Atmospheric and Solar-Terrestrial Physics · doi:10.1016/j.jastp.2008.06.014 · Cited by 455
Meredith, N. P., Thorne, R. M., Horne, R. B., Summers, D., Fraser, B. J., & Anderson, R. R. (2003) · Journal of Geophysical Research: Space Physics · doi:10.1029/2002ja009700 · Cited by 434
Self-citation
Metadata
- Authors
- Summers, D., Thorne, R. M., & Xiao, F.
- Venue
- Journal of Geophysical Research: Space Physics
- Publisher
- American Geophysical Union (AGU)
- Published
- 1998-09
- Volume
- 103
- Issue
- A9
- Pages
- 20487-20500
- ISSN
- 0148-0227 (ISSN-L)
- OpenAlex
- W2019545162
- Cited by
- 874
- References
- 11
- FWCI
- 7.14
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Relativistic theory of wave‐particle resonant diffusion with application to electron acceleration in the magnetosphere. https://app.cochat.ai/papers/10.1029/98ja01740
- The paper
- Summers, D., Thorne, R. M., & Xiao, F. (1998). Relativistic theory of wave‐particle resonant diffusion with application to electron acceleration in the magnetosphere. Journal of Geophysical Research: Space Physics. https://doi.org/10.1029/98ja01740
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.