From ballistic to diffusive regimes in heat transport at nano-scales
Why this work is in the frame
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Bibliographic record
Abstract
Our purpose is to model heat transport at micro- and nano-scales. At these scales, the mechanism of transport is not only diffusive, i.e. dominated by multiple scattering of phonons, but includes also a ballistic contribution due to collisions of phonons with the boundaries. To takes these effects into account, we follow the line of thoughts of Extended Irreversible Thermodynamics. The original idea underlying the present paper is to assume the coexistence of two kinds of heat carriers, namely ballistic and diffusive phonons, which are obeying different time-evolution equations: the diffusive collisions are described by a Cattaneo equation and ballistic interactions by a Guyer–Krumhansl like equation. The model is applied to the problem of transient heat transport in microfilms and the results are compared with earlier descriptions.
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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 | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.017 | 0.003 |
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