Effects of a uniform external magnetic field on the magnetic properties of a pure dipolar planar system
Bibliographic record
Abstract
The effects of a uniform external magnetic field, $h$, on the magnetic properties of a pure dipolar planar system on a square lattice have been investigated for both zero and finite temperature, $T$. From Monte Carlo simulations, the magnetic phase diagram for this system has been determined as a function of both $h$ and $T$. At low temperatures and for low values of $h$ the phase diagram shows an antiferromagnetic (dipolar) phase in which the spins are aligned perpendicular to $h$. For large values of $h$ the equilibrium phase is ferromagnetic, with the spins aligned parallel to $h$. The results also show that the phase boundary separating these two ordered phases appears to be first order with very weak hysteresis. Moreover, the Monte Carlo results indicate that the phase boundary separating the dipolar antiferromagnetic phase from the paramagnetic phase is second order.
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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".