Volatile bubble growth in a decompressing magmatic system: A many‐bubble model
Bibliographic record
Abstract
Recently, a new model of volatile bubble growth in magma with coupling to the melt advection field was proposed. In that model, the competitive effects of the other (randomly located) bubbles on the growth dynamics were treated in a mean‐field sense. That model predicts the possibility of dynamical transitions to or from inflationary regimes, whereby the growth rate and the average bubble radius increase rapidly. We present here numerical results pertaining to a decompressing magma, in which the fluid pressure explicitly decreases at a constant rate, thus simulating the ascent of the magma from a state of low volatile supersaturation. It is seen that, as the supersaturation increases (due to decompression), the system may undergo a transition to an inflationary regime, leading to a sudden increase in vesicularity. The numerical results show that the system dynamics may exhibit an oscillatory behavior characterized by a decompression‐induced succession of transitions to and from inflationary regimes. The model also shows that a constant bubble growth rate solution exists for intermediate times. This feature is in agreement with some experimental observations reported in the literature.
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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 | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".