Scaling of conductivity spectra in the acceptor-doped ferroelectric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>Sr</mml:mi><mml:msub><mml:mi>Bi</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Ta</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>9</mml:mn></mml:msub></mml:mrow></mml:math>
Bibliographic record
Abstract
The thermodynamic conductivity data ${\ensuremath{\sigma}}_{\mathrm{ac}}(f,T)$ of the acceptor $({\mathrm{Ca}}^{2+})$-doped $\mathrm{Sr}{\mathrm{Bi}}_{2}{\mathrm{Ta}}_{2}{\mathrm{O}}_{9}$, a fatigue-free ferroelectric, was subjected to a modified Jonscher's power law ${\ensuremath{\sigma}}^{\ensuremath{'}}(f)={\ensuremath{\sigma}}_{\mathrm{dc}}[1+{(f∕{f}_{p})}^{n}+{(f∕{f}_{q})}^{m}]$, and universal behavior. The scaling laws that describe the ${\ensuremath{\sigma}}_{\mathrm{ac}}(f,T)$ of most glasses are found to be applicable also to this crystalline ferroelectric system up to its Curie temperature $({T}_{C}\ensuremath{\approx}320\phantom{\rule{0.2em}{0ex}}\ifmmode^\circ\else\textdegree\fi{}\mathrm{C})$. Application of the time temperature superposition principle reveals that the scaling that indicates a common physical mechanism deviates from the ideal behavior at $T<{T}_{C}$ and at the ``critical point'' $(T\ensuremath{\rightarrow}{T}_{C})$. The scaling is significantly improved using the random barrier model due to noninteracting mobile charges, especially at $T<{T}_{C}$. At $T>{T}_{C}$, however, a deviation from the scaling to either model occurs. Interestingly, the value of the exponent $m(=0.73)$ falls in the range of the three-dimensional disordered oxide and silicide glasses. It is believed that the collapse of long-range polar ordering at and above ${T}_{C}$ induces a hopping motion of the mobile charges, which is different from the one in the ferroelectric state.
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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 | 0.007 | 0.005 |
| Meta-epidemiology (narrow) | 0.003 | 0.005 |
| Meta-epidemiology (broad) | 0.001 | 0.005 |
| Bibliometrics | 0.001 | 0.005 |
| Science and technology studies | 0.005 | 0.005 |
| Scholarly communication | 0.004 | 0.005 |
| Open science | 0.008 | 0.005 |
| Research integrity | 0.004 | 0.005 |
| Insufficient payload (model declined to judge) | 0.620 | 0.008 |
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; both teacher heads agree on what is shown here.
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".