Bibliographic record
Abstract
This chapter looks at four important fluid instabilities – Kelvin–Helmholtz , Rayleigh–Taylor , magneto-rotational , and Parker –where normal mode analysis of the lin-earised equations is taught using each instability as an exemplar. All are examined from the linear regime in which conditions for instability and rates of growth of the fastest mode are developed from first principles. For the KHI, RTI, and MRI, numerical simulations are presented which recover the results of linear analysis from the early stages of a non-linear calculation. For the KHI and RTI, numerical simulations well into the non-linear regime are presented where the onset of fluid turbulence is noted. For the MRI, a section describing how it solved the angular momentum transport problem for accretion discs is included. For the Parker instability, an account is given how this purely astrophysical phenomenon explains the clumpy structure of the interstellar medium .
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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 | 0.000 | 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 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".