Coupled Dipolar Spin Waves of Magnetic Multilayer Systems With Cylindrical Geometries
Bibliographic record
Abstract
A theory is developed for the dipolar spin waves in cylindrical multilayer systems consisting of a core surrounded by any arbitrary number of concentric layers (or tubes). Each layer may be magnetic (either ferromagnetic or antiferromagnetic) or a nonmagnetic spacer. The long-range dipolar fields provide coupling between magnetic layers across the spacer regions, resulting in a coupling between the dipolar modes of the system. A transfer matrix approach is employed to calculate the dispersion relations for the mode frequencies in terms of a longitudinal wave number. Numerical applications are made to multilayer systems that include several layers of the ferromagnet Ni, or the uniaxial antiferromagnet GdAlO <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sub> , or both. Particular attention is given to the localized interface modes, which are shown to be strongly modified (for example, in their frequency and wave number cutoff) by the multilayer structure, compared to the behavior found in single magnetic wires and tubes.
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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 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 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".