Electrostatic waves in the maximum-entropy fluid model: Longitudinal electron modes
Bibliographic record
Abstract
Traditional fluid models are unable to reproduce the kinetic dispersion relation of certain plasma waves and the onset of kinetic instabilities. Non-equilibrium fluid models (higher-order moment methods) permit to reproduce selected kinetic effects, but at a lower computational cost as compared to fully-kinetic models. In this work, we study the dispersion relation of longitudinal electrostatic electron modes. We show that the fourth-order maximum-entropy moment method is able to recover certain kinetic instabilities, although with a slightly increased region of stability if compared to the Vlasov equation. As in the kinetic-theory case, these instabilities appear when the gas is in a non-equilibrium state that is associated with a sufficiently bi-modal VDF. The maximum-entropy method is able to predict the classical two-stream instability within a single-fluid formulation, reproducing a reasonably accurate growth rate. The Vlasov-stability of maximum-entropy VDFs is also investigated via Nyquist diagrams and the Penrose criterion.
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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) | 0.001 | 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".