Elastic Properties of Symmetric Liquid-Liquid Interfaces
| Autor: | Varadharajan, Ramanathan, Leermakers, Frans A M |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 100, 062801 (2019) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.100.062801 |
| Popis: | The mean ($\kappa$) and Gaussian ($\bar{\kappa}$) bending rigidities of liquid-liquid interfaces, of importance for shape fluctuations and topology of interfaces, respectively, are not yet established: even their signs are debated. Using the Scheutjens Fleer variant of the self-consistent field theory, we implemented a model for a symmetric L/L interface and obtained high precision (mean field) results in the grand canonical $(\mu, V, T)$-ensemble. We report positive values for both moduli when the system is close to critical where the rigidities show the same scaling behavior as the interfacial tension $\gamma$. At strong segregation, when the interfacial width becomes of the order of the segment size, $\bar{\kappa}$ turns negative. The length scale $\lambda \equiv \sqrt{\kappa/\gamma}$ is of order the segment size for all strengths of interaction; yet the $1/\sqrt{N}$ chain length correction reduces $\lambda$ significantly when the chain length $N$ is small. Comment: 5 pages, 3 figures, 1 supplemetal document (12 pages, 7 figures) |
| Databáze: | arXiv |
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