Consistent representation of vapor phases in phase field crystal dynamics
Bibliographic record
Abstract
Accurate exploration of processes involving interactions among defects, voids, and density shrinkage in rapid solidification requires the ability to simulate phase transformations over large density ranges. We begin this work by presenting a number of numerical artifacts that arise in previous attempts to model the dynamics of solid-liquid-vapor interactions using phase field crystal (PFC) models based on a single density field coupled to its mean field. We then propose a new PFC formalism for modeling solid-liquid-vapor systems that self-consistently couples two components of the density field, one varying on the usual atomic length-scales, the other on scales much greater than the atomic lattice constant. It is shown that the new formalism is free of the aforementioned artifacts exhibited by previous PFC models. We generalize this new solid-liquid-vapor PFC model to alloys and demonstrate its utility through the nucleation of voids in both a fully solid material and during solidification into a liquid.
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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) | 0.001 | 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 | 0.000 |
| 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 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".