The generalized hydrodynamic equations for arbitrary collision frequency in a weakly ionized plasma
Bibliographic record
Abstract
Electron transport processes in a weakly ionized plasma with elastic electron-neutral collisions are studied by using the hybrid fluid/kinetic approach. The standard hierarchy of fluid moment equations is closed with expressions for higher hydrodynamic moments (heat flux and viscosity) in terms of the lower moments (temperature, density, and fluid velocity). The heat fluxes and viscosity moments are determined in the linear approximation from the kinetic equation in the Chapman–Enskog form. The obtained system of moment equations describe the transport processes in weakly ionized plasmas in the most general ordering, when the electron mean free path vTe/νe is arbitrary with respect to the characteristic length scale k−1 of the system’s inhomogeneity, and collision frequency νe is arbitrary with respect to the characteristic frequency ω. General expressions for the nonlocal (time and spatial dependent) transport coefficients are obtained. In the nonlocal limit, kvTe≫νe, the derived transport coefficients describe the wave–particle (Landau) interaction effects. Implications of nonlocal effects on plasma heating mechanisms are discussed.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 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 source (direct Gemma or distilled Codex), 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".