Journal
PHYSICAL REVIEW LETTERS
Volume 113, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.113.068302
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Funding
- NSF [DMR-0907338, DMR-1310436, OCI-0910735]
- EPSRC [EP/E10342/1]
- DFG [GL 733/1-1]
- University of Minnesota
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1310436] Funding Source: National Science Foundation
- Office of Advanced Cyberinfrastructure (OAC)
- Direct For Computer & Info Scie & Enginr [0910735] Funding Source: National Science Foundation
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Simulations of five different coarse-grained models of symmetric diblock copolymers are compared to demonstrate a universal (i.e., model-independent) dependence of the free energy and order-disorder transition (ODT) on the invariant degree of polymerization (N) over bar. The actual values of chi N at the ODT approach predictions of the Fredrickson-Helfand (FH) theory for (N) over bar greater than or similar to 10(4) but significantly exceed FH predictions at lower values characteristic of most experiments. The FH theory fails for modest (N) over bar because the competing phases become strongly segregated near the ODT, violating an underlying assumption of weak segregation.
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