fcc antiferromagnetic Ising model in a uniform external field solved by mean-field theory
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Bibliographic record
Abstract
The fcc antiferromagnetic Ising model with nearest-neighbor interactions in a uniform external field is studied using a simple mean-field theory, and a phase diagram is presented. Our theory is formulated in the spirit of a Weiss-like molecular field theory: Four spins forming a basic tetrahedron are allowed to fluctuate while the surrounding 28 spins take mean-field values. The phase diagram is similar to that obtained in the Bragg-Williams approximation for chemical ordering of ${\mathrm{Cu}}_{1\ensuremath{-}x}{\mathrm{Au}}_{x}$ alloys, although apart from the similar phase diagrams, the two theories give substantially different results. First, all of the detected transitions are correctly predicted to be first order. Second, we obtain two previously undetected reentrant phases. The existence of reentrant phases is discussed and we show that this ordering scenario is fully consistent with the results of the Bragg-Williams approximation which does not contain reentrant phases.
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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)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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