Universal Cyclic Topology in Polymer Networks
Polymer networks invariably possess topological defects: loops of different orders which have profound effects on network properties. Here, we demonstrate that all cyclic topologies are a universal function of a single dimensionless parameter characterizing the conditions for network formation. The...
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| Format: | Article |
| Language: | English |
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American Physical Society
2016
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| Online Access: | http://hdl.handle.net/1721.1/102437 https://orcid.org/0000-0002-9563-2048 https://orcid.org/0000-0002-7272-7140 https://orcid.org/0000-0001-5554-1283 https://orcid.org/0000-0001-9157-6491 |
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| author | Wang, Rui Alexander-Katz, Alfredo Johnson, Jeremiah A. Olsen, Bradley D. |
| author2 | Massachusetts Institute of Technology. Department of Chemical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Chemical Engineering Wang, Rui Alexander-Katz, Alfredo Johnson, Jeremiah A. Olsen, Bradley D. |
| author_sort | Wang, Rui |
| collection | MIT |
| description | Polymer networks invariably possess topological defects: loops of different orders which have profound effects on network properties. Here, we demonstrate that all cyclic topologies are a universal function of a single dimensionless parameter characterizing the conditions for network formation. The theory is in excellent agreement with both experimental measurements of hydrogel loop fractions and Monte Carlo simulations without any fitting parameters. We demonstrate the superposition of the dilution effect and chain-length effect on loop formation. The one-to-one correspondence between the network topology and primary loop fraction demonstrates that the entire network topology is characterized by measurement of just primary loops, a single chain topological feature. Different cyclic defects cannot vary independently, in contrast to the intuition that the densities of all topological species are freely adjustable. Quantifying these defects facilitates studying the correlations between the topology and properties of polymer networks, providing a key step in overcoming an outstanding challenge in polymer physics. |
| first_indexed | 2024-09-23T10:51:43Z |
| format | Article |
| id | mit-1721.1/102437 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:51:43Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1024372022-09-30T23:33:40Z Universal Cyclic Topology in Polymer Networks Wang, Rui Alexander-Katz, Alfredo Johnson, Jeremiah A. Olsen, Bradley D. Massachusetts Institute of Technology. Department of Chemical Engineering Massachusetts Institute of Technology. Department of Chemistry Massachusetts Institute of Technology. Department of Materials Science and Engineering Wang, Rui Alexander-Katz, Alfredo Johnson, Jeremiah A. Olsen, Bradley D. Polymer networks invariably possess topological defects: loops of different orders which have profound effects on network properties. Here, we demonstrate that all cyclic topologies are a universal function of a single dimensionless parameter characterizing the conditions for network formation. The theory is in excellent agreement with both experimental measurements of hydrogel loop fractions and Monte Carlo simulations without any fitting parameters. We demonstrate the superposition of the dilution effect and chain-length effect on loop formation. The one-to-one correspondence between the network topology and primary loop fraction demonstrates that the entire network topology is characterized by measurement of just primary loops, a single chain topological feature. Different cyclic defects cannot vary independently, in contrast to the intuition that the densities of all topological species are freely adjustable. Quantifying these defects facilitates studying the correlations between the topology and properties of polymer networks, providing a key step in overcoming an outstanding challenge in polymer physics. National Science Foundation (U.S.) (Award DMR-1253306) 2016-05-09T16:29:21Z 2016-05-09T16:29:21Z 2016-05 2016-02 2016-05-05T22:00:09Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/102437 Wang, Rui, Alfredo Alexander-Katz, Jeremiah A. Johnson, and Bradley D. Olsen. "Universal Cyclic Topology in Polymer Networks." Phys. Rev. Lett. 116, 188302 (May 2016). © 2016 American Physical Society https://orcid.org/0000-0002-9563-2048 https://orcid.org/0000-0002-7272-7140 https://orcid.org/0000-0001-5554-1283 https://orcid.org/0000-0001-9157-6491 en http://dx.doi.org/10.1103/PhysRevLett.116.188302 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Wang, Rui Alexander-Katz, Alfredo Johnson, Jeremiah A. Olsen, Bradley D. Universal Cyclic Topology in Polymer Networks |
| title | Universal Cyclic Topology in Polymer Networks |
| title_full | Universal Cyclic Topology in Polymer Networks |
| title_fullStr | Universal Cyclic Topology in Polymer Networks |
| title_full_unstemmed | Universal Cyclic Topology in Polymer Networks |
| title_short | Universal Cyclic Topology in Polymer Networks |
| title_sort | universal cyclic topology in polymer networks |
| url | http://hdl.handle.net/1721.1/102437 https://orcid.org/0000-0002-9563-2048 https://orcid.org/0000-0002-7272-7140 https://orcid.org/0000-0001-5554-1283 https://orcid.org/0000-0001-9157-6491 |
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