Interface pinning in spontaneous imbibition
Why this work is in the frame
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Bibliographic record
Abstract
Evaporation and gravity induced pinning in spontaneous imbibition are examined within a phase field formalism. Evaporation is introduced via a nonconserving term and gravity through a convective term that constrains the influx of liquid. Their effects are described by dimensionless coupling constants $\ensuremath{\epsilon}$ and g, respectively. From liquid conservation, the early time behavior of the average interface position follows $H(t)\ensuremath{\sim}{t}^{1/2}$ until a crossover time ${t}^{*}(g,\ensuremath{\epsilon}).$ After that the pinning height ${H}_{p}(g,\ensuremath{\epsilon})$ is approached exponentially in time, in accordance with mean field theory. The statistical roughness of the interface is described by an exponent $\ensuremath{\chi}\ensuremath{\simeq}1.25$ at all stages of the rise, but the dynamic length scale controlling roughness crosses over from ${\ensuremath{\xi}}_{\ifmmode\times\else\texttimes\fi{}}\ensuremath{\sim}{H}^{1/2}$ to a time independent pinning length scale ${\ensuremath{\xi}}_{p}(\ensuremath{\epsilon},g).$
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 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 | 0.001 |
| 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 it