Adsorption and Depletion of Polyelectrolytes in Charged Cylindrical System within Self-Consistent Field Theory
Bibliographic record
Abstract
Self-consistent field theory (SCFT) is presented to study the adsorption of flexible polyelectrolytes (PE) onto uniformly oppositely charged cylinders. We focus on the curvature effect of adsorbing surface on the adsorption−depletion phase-transition-like behavior. Numerical solutions for SCFT functions are derived. In terms of the scaling expression ( C salt ∗ ∼ p α σ β ) of the critical quantities, i.e., the salt concentration C salt ∗, the charge fraction p of PE chain and the area density of surface charge σ, at the adsorption−depletion transition point, we divide the whole curvature dimension into two regimes, i.e., the planar regime and the cylindrical regime. In particular, we have numerically determined the crossover point of the two regimes at which the cylinder radius r 0 approximately equates to 2 times the gyration radius R g of PE chain, or, r 0 ∼ 2 R g . In the planar regime ( r 0 > 2 R g ), the scaling expression is invariable with surface curvature and is reduced to the planar case, or C salt ∗ ∼ ( p σ) 2/3 . In the cylindrical regime ( r 0 < 2 R g ), the exponents in the scaling expression increase as r 0 decreases and lead to C salt ∗ ∼ p 0.78 σ 0.86 for a large surface curvature r 0 = 0.1 R g . Moreover, we find a critical line for the dependence of the critical radius of cylinder on the salt concentration, which separates the adsorption and depletion states. The theoretical results are in good agreement with the Monte Carlo simulations and the experimental results.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 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 source (direct Gemma or distilled Codex), 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".