Calculation of the tilt angle and susceptibility as functions of temperature and the electric field close to the Sm A – Sm C* transition in C7
Bibliographic record
Abstract
Smectic A – Smectic C* transition in the ferroelectric liquid crystal (C7) is studied as a function of the electric field and the temperature. By expanding the free energy in terms of the tilt angle θ (Smectic C* phase) and the polarization P with a linear coupling between θ and P (Pθ) in mean field theory, the tilt angle is calculated as a function of the electric field (θ versus E) at constant temperatures with respect to the transition temperature for C7 using the observed data from the literature. Also, by extracting the tilt angle from the observed electric displacements at various temperatures (at constant field strength) the inverse tilt angle susceptibility ([Formula: see text]), derived from the free energy, is fitted to the observed data for the dielectric constant and the fitted parameters are determined. Our calculated θ and χ θ . show that the mean field theory explains adequately the observed behavior of the Smectic A – Smectic C* transition in the liquid crystals C7.
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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 | 0.001 | 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) | 0.000 | 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".