Simple analytic equations of state for Sutherland fluids and square-well fluids
Bibliographic record
Abstract
A simple analytic expression satisfying the limitation condition at low density for the radial distribution function of hard spheres is developed in terms of a polynomial expansion of nonlinear base functions and the CarnahanStarling equation of state. The simplicity and precision for the expression is superior to the well-known PercusYevick expression. The coefficients contained in the expression were determined by fitting the Monte-Carlo data for the first coordination shell, and by fitting both the Monte-Carlo data and the numerical results of the PercusYevick expression for the second coordination shell. The expression has been applied to develop analytic equations of state for Sutherland fluids and square-well fluids. The numerical results are in good agreement with computer-simulation data. PACS Nos.: 61.20.Gy, 64.10.+h, 05.70.Ce
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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".