Extreme-value statistics of work done in stretching a polymer in a gradient flow
We analyze the statistics of work generated by a gradient flow to stretch a nonlinear polymer. We obtain the large deviation function (LDF) of the work in the full range of appropriate parameters by combining analytical and numerical tools. The LDF shows two distinct asymptotes: “near tails” are lin...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/94642 https://orcid.org/0000-0002-7997-8962 |
| _version_ | 1826200136106115072 |
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| author | Vucelja, M. Chertkov, M. Turitsyn, Konstantin |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Vucelja, M. Chertkov, M. Turitsyn, Konstantin |
| author_sort | Vucelja, M. |
| collection | MIT |
| description | We analyze the statistics of work generated by a gradient flow to stretch a nonlinear polymer. We obtain the large deviation function (LDF) of the work in the full range of appropriate parameters by combining analytical and numerical tools. The LDF shows two distinct asymptotes: “near tails” are linear in work and dominated by coiled polymer configurations, while “far tails” are quadratic in work and correspond to preferentially fully stretched polymers. We find the extreme value statistics of work for several singular elastic potentials, as well as the mean and the dispersion of work near the coil-stretch transition. The dispersion shows a maximum at the transition. |
| first_indexed | 2024-09-23T11:31:45Z |
| format | Article |
| id | mit-1721.1/94642 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:31:45Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/946422022-09-27T20:06:30Z Extreme-value statistics of work done in stretching a polymer in a gradient flow Vucelja, M. Chertkov, M. Turitsyn, Konstantin Massachusetts Institute of Technology. Department of Mechanical Engineering Turitsyn, Konstantin We analyze the statistics of work generated by a gradient flow to stretch a nonlinear polymer. We obtain the large deviation function (LDF) of the work in the full range of appropriate parameters by combining analytical and numerical tools. The LDF shows two distinct asymptotes: “near tails” are linear in work and dominated by coiled polymer configurations, while “far tails” are quadratic in work and correspond to preferentially fully stretched polymers. We find the extreme value statistics of work for several singular elastic potentials, as well as the mean and the dispersion of work near the coil-stretch transition. The dispersion shows a maximum at the transition. United States-Israel Binational Science Foundation United States. National Nuclear Security Administration (Contract DE-AC52-06NA25396) 2015-02-19T17:35:00Z 2015-02-19T17:35:00Z 2015-02 2014-12 2015-02-17T23:00:02Z Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/94642 Vucelja, M., K. S. Turitsyn, and M. Chertkov. “Extreme-Value Statistics of Work Done in Stretching a Polymer in a Gradient Flow.” Physical Review E 91.2 (2015). © 2015 American Physical Society https://orcid.org/0000-0002-7997-8962 en http://dx.doi.org/10.1103/PhysRevE.91.022123 Physical Review E 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 | Vucelja, M. Chertkov, M. Turitsyn, Konstantin Extreme-value statistics of work done in stretching a polymer in a gradient flow |
| title | Extreme-value statistics of work done in stretching a polymer in a gradient flow |
| title_full | Extreme-value statistics of work done in stretching a polymer in a gradient flow |
| title_fullStr | Extreme-value statistics of work done in stretching a polymer in a gradient flow |
| title_full_unstemmed | Extreme-value statistics of work done in stretching a polymer in a gradient flow |
| title_short | Extreme-value statistics of work done in stretching a polymer in a gradient flow |
| title_sort | extreme value statistics of work done in stretching a polymer in a gradient flow |
| url | http://hdl.handle.net/1721.1/94642 https://orcid.org/0000-0002-7997-8962 |
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