Jamming of Knots along a Tensioned Chain
We examine the motion of a knot along a tensioned chain whose backbone is corrugated due to excluded volume effects. At low applied tensions, the knot traverses the chain diffusively, while at higher tensions the knot makes slow, discrete hops that can be described as a Poisson process. In this “jam...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Chemical Society (ACS)
2017
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| Online Access: | http://hdl.handle.net/1721.1/107148 https://orcid.org/0000-0001-7448-4202 https://orcid.org/0000-0003-1687-4522 |
| _version_ | 1811078114932948992 |
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| author | Narsimhan, Vivek Renner, Christopher Benjamin Doyle, Patrick S |
| author2 | Massachusetts Institute of Technology. Department of Chemical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Chemical Engineering Narsimhan, Vivek Renner, Christopher Benjamin Doyle, Patrick S |
| author_sort | Narsimhan, Vivek |
| collection | MIT |
| description | We examine the motion of a knot along a tensioned chain whose backbone is corrugated due to excluded volume effects. At low applied tensions, the knot traverses the chain diffusively, while at higher tensions the knot makes slow, discrete hops that can be described as a Poisson process. In this “jammed” regime, the knot’s long-time diffusivity decreases exponentially with increasing tension. We quantify how these measurements are altered by chain rigidity and the corrugation of the polymer backbone. We also characterize the energy barrier of the reptation moves that gives rise to the knot’s motion. For the simple knot types examined thus far (3[subscript 1], 4[subscript 1], 5[subscript 1], 5[subscript 2]), the dominant contribution to the energy landscape appears in the first step of reptation—i.e., polymer entering the knotted core. We hope this study gives insight into what physics contributes to the internal friction of highly jammed knots. |
| first_indexed | 2024-09-23T10:53:17Z |
| format | Article |
| id | mit-1721.1/107148 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:53:17Z |
| publishDate | 2017 |
| publisher | American Chemical Society (ACS) |
| record_format | dspace |
| spelling | mit-1721.1/1071482022-09-27T15:47:28Z Jamming of Knots along a Tensioned Chain Narsimhan, Vivek Renner, Christopher Benjamin Doyle, Patrick S Massachusetts Institute of Technology. Department of Chemical Engineering Narsimhan, Vivek Renner, Christopher Benjamin Doyle, Patrick S We examine the motion of a knot along a tensioned chain whose backbone is corrugated due to excluded volume effects. At low applied tensions, the knot traverses the chain diffusively, while at higher tensions the knot makes slow, discrete hops that can be described as a Poisson process. In this “jammed” regime, the knot’s long-time diffusivity decreases exponentially with increasing tension. We quantify how these measurements are altered by chain rigidity and the corrugation of the polymer backbone. We also characterize the energy barrier of the reptation moves that gives rise to the knot’s motion. For the simple knot types examined thus far (3[subscript 1], 4[subscript 1], 5[subscript 1], 5[subscript 2]), the dominant contribution to the energy landscape appears in the first step of reptation—i.e., polymer entering the knotted core. We hope this study gives insight into what physics contributes to the internal friction of highly jammed knots. Singapore-MIT Alliance for Research and Technology (SMART) National Science Foundation (U.S.) (NSF grant CBET-1335938) 2017-02-23T21:42:48Z 2017-02-23T21:42:48Z 2016-01 2015-09 Article http://purl.org/eprint/type/JournalArticle 2161-1653 2161-1653 http://hdl.handle.net/1721.1/107148 Narsimhan, Vivek, C. Benjamin Renner, and Patrick S. Doyle. “Jamming of Knots Along a Tensioned Chain.” ACS Macro Letters 5, no. 1 (January 19, 2016): 123–127. https://orcid.org/0000-0001-7448-4202 https://orcid.org/0000-0003-1687-4522 en_US http://dx.doi.org/10.1021/acsmacrolett.5b00737 ACS Macro 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. application/pdf American Chemical Society (ACS) MIT Web Domain |
| spellingShingle | Narsimhan, Vivek Renner, Christopher Benjamin Doyle, Patrick S Jamming of Knots along a Tensioned Chain |
| title | Jamming of Knots along a Tensioned Chain |
| title_full | Jamming of Knots along a Tensioned Chain |
| title_fullStr | Jamming of Knots along a Tensioned Chain |
| title_full_unstemmed | Jamming of Knots along a Tensioned Chain |
| title_short | Jamming of Knots along a Tensioned Chain |
| title_sort | jamming of knots along a tensioned chain |
| url | http://hdl.handle.net/1721.1/107148 https://orcid.org/0000-0001-7448-4202 https://orcid.org/0000-0003-1687-4522 |
| work_keys_str_mv | AT narsimhanvivek jammingofknotsalongatensionedchain AT rennerchristopherbenjamin jammingofknotsalongatensionedchain AT doylepatricks jammingofknotsalongatensionedchain |