Self-Consistent Field Theory for Semiflexible Gaussian Chain Model
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866929738687184896 |
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| author | Oya, Yutaka Kawakatsu, Toshihiro |
| author_facet | Oya, Yutaka Kawakatsu, Toshihiro |
| contents | Self-consistent field theory (SCFT) is one of the useful methods to simulate phase separated structures of multi-component polymer systems. In this article, we propose an SCFT for semiflexible polymer melts, where the basic equations for the SCFT are derived by introducing a bending stiffness into a flexible Gaussian bead-spring model and taking its continuous limit. Our SCFT is described by a coupled modified diffusion equations for the statistical weight of the chain conformation (path integral), which is a perturbation to semiflexible chains from the flexible Gaussian chain model. Using our modified diffusion equations, we investigated the influences of the bending stiffness on the conformations of symmetric semiflexible diblock copolymer in a strongly segregated lamellar structures and on the order-disorder transition. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_00906 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-Consistent Field Theory for Semiflexible Gaussian Chain Model Oya, Yutaka Kawakatsu, Toshihiro Soft Condensed Matter Self-consistent field theory (SCFT) is one of the useful methods to simulate phase separated structures of multi-component polymer systems. In this article, we propose an SCFT for semiflexible polymer melts, where the basic equations for the SCFT are derived by introducing a bending stiffness into a flexible Gaussian bead-spring model and taking its continuous limit. Our SCFT is described by a coupled modified diffusion equations for the statistical weight of the chain conformation (path integral), which is a perturbation to semiflexible chains from the flexible Gaussian chain model. Using our modified diffusion equations, we investigated the influences of the bending stiffness on the conformations of symmetric semiflexible diblock copolymer in a strongly segregated lamellar structures and on the order-disorder transition. |
| title | Self-Consistent Field Theory for Semiflexible Gaussian Chain Model |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2503.00906 |