Double-diffusive instability in a thin vertical channel
Bibliographic record
Abstract
Double-diffusive convection in the finger regime is studied using direct numerical simulations in a confined domain. For narrow (1–4 mm horizontal extent) domains, we demonstrate active instabilities that are uniquely double-diffusive, or in other words that no instabilities develop when differential diffusion is not present. The novel double-diffusive instabilities are influenced by the boundaries, but demonstrate complex time-dependent evolution down to lateral extents of 1.25 mm. We quantify the energetics, the horizontal asymmetry, and the buoyancy flux due to the instability. We utilize these results to characterize the instability within regimes and point out that while coherent instabilities associated with larger gaps are well characterized by the ratio of diffusive effects to buoyancy forces (the time dependent Grashof number), for smaller gap widths, regime characterization is more difficult. Nevertheless, even at a gap of 1.25 mm, the instability remains robust, and thus it can be concluded that double diffusion can be employed to drive localized mixing in highly confined settings for which single constituent Rayleigh–Taylor does not manifest.
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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".