Topological effects on the Lifshitz point of block copolymer/homopolymer blends
Bibliographic record
Abstract
The influence of copolymer topology on the phase behavior of binary blends containing AB-type block copolymers and A homopolymers is studied by examining the instability modes of the system using the random-phase approximation. Depending on the concentration of the homopolymers, the blends could undergo microscopic or macroscopic phase separation, forming one ordered phase or two coexisting phases. The transition between these two distinct behaviors occurs at the Lifshitz point (LP), at which the wavelength of the most unstable mode diverges. We demonstrate that AB-type copolymers with identical block compositions but distinct chain topologies have different abilities to solubilize homopolymers, and their LPs exhibit two distinct, continuous (second-order) or discontinuous (first-order), features connected by a tricritical point. A more complex behavior featuring the coexistence of two instability modes with different finite length scales is also observed in multiblock copolymer/homopolymer blends. These behaviors are shown to be independent of specific chain models.
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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 | 0.001 | 0.001 |
| 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) | 0.002 | 0.001 |
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".