Timescales for radiation belt electron acceleration and loss due to resonant wave‐particle interactions: 1. Theory
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Bibliographic record
Abstract
Radiation belt electrons can interact with various modes of plasma wave in their drift orbits about the Earth, including whistler‐mode chorus outside the plasmasphere, and both whistler‐mode hiss and electromagnetic ion cyclotron waves inside the plasmasphere. Electrons undergo gyroresonant diffusion in their interactions with these waves. To determine the timescales for electron momentum diffusion and pitch angle diffusion, we develop bounce‐averaged quasi‐linear resonant diffusion coefficients for field‐aligned electromagnetic waves in a hydrogen or multi‐ion (H + , He + , O + ) plasma. We assume that the Earth's magnetic field is dipolar and that the wave frequency spectrum is Gaussian. Evaluation of the diffusion coefficients requires the solution of a sixth‐order polynomial equation for the resonant wave frequencies in the case of a multi‐ion (H + , He + , O + ) plasma, compared to the solution of a fourth‐order polynomial equation for a hydrogen plasma. In some cases, diffusion coefficients for field‐aligned waves can provide a valuable approximation for diffusion rates for oblique waves calculated using higher‐order resonances. Bounce‐averaged diffusion coefficients for field‐aligned waves can be evaluated generally in minimal CPU time and can therefore be profitably incorporated into comprehensive kinetic radiation belt codes.
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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 | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 it