Irreversible thermodynamics of multicomponent fluids and its statistical mechanics basis
Bibliographic record
Abstract
The irreversible thermodynamics of a multicomponent fluid is reviewed. This includes a discussion of the role of individual component fluxes. It is argued that their differences vanish on the same time scale as that which establishes local thermodynamic equilibrium and thus do not play an independent role in fluid dynamics, but only arise in response to gradients in conserved thermodynamic variables. The contributions to the energy flux are examined and it is argued that there should be explicit contributions associated with the various component fluxes, which are not mentioned in standard kinetic theory presentations. Three different thermodynamic perspectives are discussed as to their form, with the respective equations for the entropy flux and production described and contrasted. The Onsager reciprocal relations are considered to be a consequence of the single-valuedness of the entropy production with the chemical potential gradients as the driving forces for diffusion. These are specialized to ideal gas mixtures using the component density gradients associated with Fick's laws and to using the mole fraction gradients that are standardly used in gas kinetic theory. The ideal gas Onsager relations are identical to those deduced from the Boltzmann equation. Irving and Kirkwood's statistical mechanics treatment of the evolution equations of a one-component fluid [J. Chem. Phys. 18, 817 (1950)JCPSA60021-960610.1063/1.1747782] is generalized to multicomponent fluids and agrees with the thermodynamic perspective that treats the energy transfers as reversible.
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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) | 0.001 | 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)
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".