Concentration Dependence of Ring Polymer Conformations from Monte Carlo Simulations
| Autor: | Shang Yik Reigh, Do Y. Yoon |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
chemistry.chemical_classification
Quantitative Biology::Biomolecules Polymers and Plastics Organic Chemistry Monte Carlo method Polymer Neutron scattering Ring (chemistry) Gyration Molecular physics Condensed Matter::Soft Condensed Matter Inorganic Chemistry chemistry Chain (algebraic topology) Materials Chemistry Radius of gyration Statistical physics Scaling |
| Zdroj: | ACS Macro Letters. 2:296-300 |
| ISSN: | 2161-1653 |
| DOI: | 10.1021/mz300587v |
| Popis: | The concentration dependence of the conformations of ring polymers is investigated by lattice Monte Carlo simulations and compared with that of linear polymers. The relative radii of gyration of linear polymers follow a universal master curve as a function of the scaled concentration for various chain lengths, with a scaling relationship ⟨Rg2⟩ ∼ ϕ–0.25, which is consistent with scaling theory and neutron scattering experiments. Ring polymers of different lengths also follow a universal behavior with a broad crossover to a scaling behavior ⟨Rg2⟩ ∼ ϕ–0.59 for long chains. The scaling relationship between the concentration dependence and the chain-length dependence of the radius of gyration implies ⟨Rg2⟩ ∼ N0.72, indicating highly collapsed conformations for long-chain ring polymers in the melt. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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