Numerical studies of nonlocal electrostatic effects on the sub-nanoscale
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Bibliographic record
Abstract
We study nonlocal electrostatics in inhomogeneous dielectric environments on the sub-nanometer scale using a recently introduced polarization energy functional. This functional is able to generate a wavevector-dependent dielectric function ϵ(q) that reflects local correlations in the medium's polarization. Its longitudinal component either decays continuously from its macroscopic continuum value to one at large q, or additionally exhibits two poles with a negative band at intermediate wavevectors (overscreening), which is characteristic of polar fluids such as water. We show that the functional reproduces known nonlocal electrostatic effects: the pair potential between point charges or Born ions in water at distances less than 5 Å is strongly modified, and the Born solvation energy is found to either decrease or increase relative to its local electrostatics value, depending on which approximation is chosen for ϵ(q). We then apply the functional to geometries that can no longer be treated analytically, such as a molecular pore of finite length. In such an anisotropic dielectric background transverse correlations in the polarization field no longer vanish and can contribute to substantial modifications of the dielectric barrier for ion translocation in the regime of intermediate pore diameters of 6-10 Å.
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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) | 0.000 | 0.000 |
Machine scores (provisional)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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