Analysis of Radiation Belt “Killer” Electron Energy Spectra
Bibliographic record
Abstract
Abstract Highly energetic (>1 MeV) electrons are typically generated in the Earth's outer radiation belt during geomagnetically disturbed times. Such “killer” electrons can be produced by electron cyclotron resonance with whistler‐mode waves. We model this process by a relativistic Fokker‐Planck diffusion equation for the electron distribution function f ( E ), where E is the normalized electron kinetic energy. The equation involves an energy diffusion coefficient D ( E ) and an advection coefficient A ( E ), which depend on the wave spectral energy density. For two types of wave energy spectrum, a Gaussian and a power law with spectral index q , we seek large‐ E steady‐state solutions for f ( E ). For lower‐band chorus, for both Gaussian and power law spectra, we find that with k = D 0 T 0 , where D 0 is a diffusion parameter and T 0 is the e‐folding timescale for electron loss. For a full‐band whistler spectrum, we find that if 2 < q < 4 then ; in the special case q = 4, we obtain the power law solution f ∼ E − δ , where . We compare the analytical electron spectra obtained with the phase‐space density profiles observed by the Van Allen Probes.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.003 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".