Coalescence Model for Crumpled Globules Formed in Polymer Collapse
The rapid collapse of a polymer, due to external forces or changes in solvent, yields a long-lived “crumpled globule.” The conjectured fractal structure shaped by hierarchical collapse dynamics has proved difficult to establish, even with large simulations. To unravel this puzzle, we study a coarse-...
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American Physical Society
2015
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Online Access: | http://hdl.handle.net/1721.1/98178 https://orcid.org/0000-0002-1112-5912 https://orcid.org/0000-0002-3074-4217 |
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author | Bunin, Guy Kardar, Mehran |
author2 | Massachusetts Institute of Technology. Department of Physics |
author_facet | Massachusetts Institute of Technology. Department of Physics Bunin, Guy Kardar, Mehran |
author_sort | Bunin, Guy |
collection | MIT |
description | The rapid collapse of a polymer, due to external forces or changes in solvent, yields a long-lived “crumpled globule.” The conjectured fractal structure shaped by hierarchical collapse dynamics has proved difficult to establish, even with large simulations. To unravel this puzzle, we study a coarse-grained model of in-falling spherical blobs that coalesce upon contact. Distances between pairs of monomers are assigned upon their initial coalescence, and do not “equilibrate” subsequently. Surprisingly, the model reproduces quantitatively the dependence of distance on segment length, suggesting that the slow approach to scaling is related to the wide distribution of blob sizes. |
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format | Article |
id | mit-1721.1/98178 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T16:15:35Z |
publishDate | 2015 |
publisher | American Physical Society |
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spelling | mit-1721.1/981782022-10-02T07:18:53Z Coalescence Model for Crumpled Globules Formed in Polymer Collapse Bunin, Guy Kardar, Mehran Massachusetts Institute of Technology. Department of Physics Bunin, Guy Kardar, Mehran The rapid collapse of a polymer, due to external forces or changes in solvent, yields a long-lived “crumpled globule.” The conjectured fractal structure shaped by hierarchical collapse dynamics has proved difficult to establish, even with large simulations. To unravel this puzzle, we study a coarse-grained model of in-falling spherical blobs that coalesce upon contact. Distances between pairs of monomers are assigned upon their initial coalescence, and do not “equilibrate” subsequently. Surprisingly, the model reproduces quantitatively the dependence of distance on segment length, suggesting that the slow approach to scaling is related to the wide distribution of blob sizes. National Science Foundation (U.S.) (Grant DMR-12-06323) MIT Department of Physics Pappalardo Program (Fellowship) 2015-08-21T12:50:22Z 2015-08-21T12:50:22Z 2015-08 2015-03 2015-08-20T22:00:04Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/98178 Bunin, Guy, and Mehran Kardar. "Coalescence Model for Crumpled Globules Formed in Polymer Collapse." Phys. Rev. Lett. 115, 088303 (August 2015). © 2015 American Physical Society https://orcid.org/0000-0002-1112-5912 https://orcid.org/0000-0002-3074-4217 en http://dx.doi.org/10.1103/PhysRevLett.115.088303 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 | Bunin, Guy Kardar, Mehran Coalescence Model for Crumpled Globules Formed in Polymer Collapse |
title | Coalescence Model for Crumpled Globules Formed in Polymer Collapse |
title_full | Coalescence Model for Crumpled Globules Formed in Polymer Collapse |
title_fullStr | Coalescence Model for Crumpled Globules Formed in Polymer Collapse |
title_full_unstemmed | Coalescence Model for Crumpled Globules Formed in Polymer Collapse |
title_short | Coalescence Model for Crumpled Globules Formed in Polymer Collapse |
title_sort | coalescence model for crumpled globules formed in polymer collapse |
url | http://hdl.handle.net/1721.1/98178 https://orcid.org/0000-0002-1112-5912 https://orcid.org/0000-0002-3074-4217 |
work_keys_str_mv | AT buninguy coalescencemodelforcrumpledglobulesformedinpolymercollapse AT kardarmehran coalescencemodelforcrumpledglobulesformedinpolymercollapse |