Analytic Solution for the Linear Rheology of Living Polymers
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917717529853952 |
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| author | Chen, Vickie Drucker, Charles T. Love, Claire Peterson, Jonathon Peterson, Joseph |
| author_facet | Chen, Vickie Drucker, Charles T. Love, Claire Peterson, Jonathon Peterson, Joseph |
| contents | It is often said that well-entangled and fast-breaking living polymers (such as wormlike micelles) exhibit a single relaxation time in their reptation dynamics, but the full story is somewhat more complicated. Understanding departures from single-Maxwell behavior is crucial for fitting and interpreting experimental data, but in some limiting cases numerical methods of solving living polymer models can struggle to produce reliable predictions/interpretations. In this work, we develop an analytic solution for the shuffling model of living polymers. The analytic solution is a converging infinite series, and it converges fastest in the fast-breaking limit where other methods can struggle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07213 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analytic Solution for the Linear Rheology of Living Polymers Chen, Vickie Drucker, Charles T. Love, Claire Peterson, Jonathon Peterson, Joseph Soft Condensed Matter It is often said that well-entangled and fast-breaking living polymers (such as wormlike micelles) exhibit a single relaxation time in their reptation dynamics, but the full story is somewhat more complicated. Understanding departures from single-Maxwell behavior is crucial for fitting and interpreting experimental data, but in some limiting cases numerical methods of solving living polymer models can struggle to produce reliable predictions/interpretations. In this work, we develop an analytic solution for the shuffling model of living polymers. The analytic solution is a converging infinite series, and it converges fastest in the fast-breaking limit where other methods can struggle. |
| title | Analytic Solution for the Linear Rheology of Living Polymers |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2407.07213 |