Study of entropy-driven self-assembly of rigid macromolecules
Bibliographic record
Abstract
A simple model composed of two rigid macromolecules (adsorbents) immersed in a large number of small molecules (adsorbates) is used to study entropy-driven association processes. The surfaces of the adsorbents are capable of adsorbing the smaller adsorbates. The partition function of the model is obtained analytically. The probability of dimerization and the number of adsorbed molecules are shown to depend on the enthalpy and the entropy differences between the assembled and the disassembled states. Under certain conditions, dimerization of the macromolecules occurs with increasing temperature. This entropy-driven self-assembly is originated from an overall entropy gain due to the release of the adsorbed small molecules, leading to a large peak in the heat capacity due to the dimer formation. The desorption of the adsorbates induces a sharp change in the first-order derivative of the free energy, resulting in another large peak in the heat capacity. A temperature-induced re-entrance into the dimer state is also contained in the model.
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 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".