Critical Behavior Ising Model S = 1, 3/2 and 2 on Directed Networks
Why this work is in the frame
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Bibliographic record
Abstract
Barabási‐Albert and small‐world networks. In this model, the order‐disorder phase transition of the order parameter is well defined on small‐world networks. We calculate the value of the critical temperature Tc for several values of rewiring probability p of the directed small‐world network. For directed small‐world networks we obtained a second‐order phase transition for p = 0.2 and first‐order phase transition for p = 0.8. On directed Barabási‐Albert we show that phase transition do not exist for Ising model with spin S = 1, 3/2 and 2.
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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) | 0.000 | 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 it