Bibliographic record
Abstract
An algorithm to directly locate K- or L-points (which are often called critical endpoints) is proposed that utilizes a robust critical point solver and a standard phase stability test within a nested-loop structure. Successive substitution (SS), accelerated successive substitution, and Newton−Raphson (NR) procedures were used to perform the phase stability test, and it was determined that a hybrid between the SS and the NR methods balances the robustness of the SS procedure against the convergence rate of the NR procedure. The algorithm was tested using the Peng−Robinson equation of state for a variety of binary systems, including an ethane + ethanol system, three methane + n -alkane systems, and three propane + polyaromatic systems. An analysis of convergence difficulties is discussed, relative to the Gibbs free-energy surface topology. It was determined that an accurate initial critical composition was necessary to avoid convergence to a trivial solution. Convergence was not sensitive to the initial guess used to locate the noncritical equilibrium phase.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 |
| 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 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".