Multiple Meniscus Depinning Transitions in Open Capillary Slits
Bibliographic record
Abstract
High Resolution Image Download MS PowerPoint Slide We study edge-induced meniscus depinning transitions in confined fluids using a combination of macroscopic theory and classical density functional theory (DFT). The study focuses on macroscopically long slit geometries of width L bounded by planar walls where the open end has an overlap D, where sharp edges introduce distinct meniscus morphologies and continuous depinning transitions. The macroscopic analysis predicts four distinct condensed states: fully pinned, partially pinned, and depinned whose stability depends sensitively on the wall separation ratio D / L and the Young contact angle θ. These transitions are second order, if the walls are partially wet, and third order if they are complete wet (θ = 0) or completely dry (θ = π). Microscopic DFT calculations confirm the existence and sequence of these morphologies in very good quantitative agreement with the macroscopic predictions, except for complete wetting, where the presence of thick adsorbed films effectively reduces the accessible slit width.
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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".