Global stabilities, selection of steady cellular growth, and origin of side branches in directional solidification
Bibliographic record
Abstract
The present paper investigates the global instability mechanisms of arrayed-cellular growth with asymptotic approach. We find that the system of directional solidification involves two types of global instability mechanisms: the low-frequency instability and the global oscillatory instability, which are profoundly similar to that found in the system of viscous fingering and free dendritic growth. Based on these global instabilities, the neutral mode selection principle for the limiting state of growth is proposed; the origin and essence of side branching on the interface are elucidated with the so-called global trapped wave mechanism, which involves the interfacial wave reflection and amplification along the interface. It is demonstrated that side branching is self-sustaining and can persist without continuously applying the external noise; the effect of the anisotropy of interfacial energy is not essential for the selection of steady cellular growth and for the origin and formation of side branching at the interface. The comparisons of theoretical results are made with the most recent experimental works and the numerical simulations which show very good quantitative agreement.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| 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 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.000 | 0.000 |
| 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 source (direct Gemma or distilled Codex), 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".