Electrophoresis of Heteropolymers. Effect of Stiffness
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Bibliographic record
Abstract
In the limit of a small Debye length, the electrophoretic mobility of a charged heteropolymer is a weighted average of the mobilities of its parts. The weights are a function of the position along the chain that depends on the properties of the polymer, such as its stiffness. It is known that for a flexible polymer the weights diverge as a power law at the ends, while for a rodlike polymer the divergence is only logarithmic. Using the Kirkwood–Riseman approximation, we study in detail the intermediate case of a semiflexible polymer. We find that for sufficiently small persistence lengths, the position dependence of the weights matches that for flexible polymers away from the ends, but crosses over to the logarithmic dependence characteristic of rods near the ends. While this crossover is broad and the exact points at which it occurs can be defined in different ways, we give an operational definition of the distance of the crossover points from the respective end that turns out to be nearly independent of the polymer length even when it is comparable to that length. This crossover distance is proportional to the “hydrodynamic Kuhn length” defined as the polymer length at which the crossover between the “rod-like” and the “coil-like” dependences of the friction coefficient occurs. Both the crossover distance for the weights and the hydrodynamic Kuhn length scale superlinearly with the persistence length of the polymer; as a result, geometrically “coil-like” semiflexible polymers can be quite “rod-like” hydrodynamically and electrophoretically. Our results are applied to the case of a diblock copolymer with one charged and one neutral part.
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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)
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 it