Configurations of polymers attached to probes
We study polymers attached to spherical (circular) or paraboloidal (parabolic) probes in three (two) dimensions. Both self-avoiding and random walks are examined numerically. The behavior of a polymer of size R[subscript 0] attached to the tip of a probe with radius of curvature R, differs qualitati...
| Main Authors: | , , |
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| Format: | Article |
| Language: | en_US |
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IOP Publishing
2014
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| Online Access: | http://hdl.handle.net/1721.1/88504 https://orcid.org/0000-0002-1112-5912 |
| _version_ | 1811074423358226432 |
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| author | Bubis, Roy Kantor, Yacov Kardar, Mehran |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Bubis, Roy Kantor, Yacov Kardar, Mehran |
| author_sort | Bubis, Roy |
| collection | MIT |
| description | We study polymers attached to spherical (circular) or paraboloidal (parabolic) probes in three (two) dimensions. Both self-avoiding and random walks are examined numerically. The behavior of a polymer of size R[subscript 0] attached to the tip of a probe with radius of curvature R, differs qualitatively for large and small values of the ratio s=R[subscript 0]/R. We demonstrate that the scaled compliance (inverse force constant) S/R[2 over 0], and scaled mean position of the polymer end-point (x[subscript ⊥])/R can be expressed as a function of s. Scaled compliance is anisotropic, and quite large in the direction parallel to the surface when R[subscript 0]~R. The exponent γ, characterizing the number of polymer configurations, crosses over from a value of γ[subscript 1] – characteristic of a planar boundary – at small s to one reflecting the overall shape of the probe at large s. For a spherical probe the crossover is to an unencumbered polymer, while for a parabolic probe we cannot rule out a new exponent. |
| first_indexed | 2024-09-23T09:49:14Z |
| format | Article |
| id | mit-1721.1/88504 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:49:14Z |
| publishDate | 2014 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/885042022-09-26T13:55:11Z Configurations of polymers attached to probes Bubis, Roy Kantor, Yacov Kardar, Mehran Massachusetts Institute of Technology. Department of Physics Kardar, Mehran We study polymers attached to spherical (circular) or paraboloidal (parabolic) probes in three (two) dimensions. Both self-avoiding and random walks are examined numerically. The behavior of a polymer of size R[subscript 0] attached to the tip of a probe with radius of curvature R, differs qualitatively for large and small values of the ratio s=R[subscript 0]/R. We demonstrate that the scaled compliance (inverse force constant) S/R[2 over 0], and scaled mean position of the polymer end-point (x[subscript ⊥])/R can be expressed as a function of s. Scaled compliance is anisotropic, and quite large in the direction parallel to the surface when R[subscript 0]~R. The exponent γ, characterizing the number of polymer configurations, crosses over from a value of γ[subscript 1] – characteristic of a planar boundary – at small s to one reflecting the overall shape of the probe at large s. For a spherical probe the crossover is to an unencumbered polymer, while for a parabolic probe we cannot rule out a new exponent. National Science Foundation (U.S.) (Grant DMR-08-03315) 2014-07-28T14:02:52Z 2014-07-28T14:02:52Z 2009-11 2009-10 Article http://purl.org/eprint/type/JournalArticle 0295-5075 1286-4854 http://hdl.handle.net/1721.1/88504 Bubis, Roy, Yacov Kantor, and Mehran Kardar. “Configurations of Polymers Attached to Probes.” EPL (Europhysics Letters) 88, no. 4 (November 1, 2009): 48001. https://orcid.org/0000-0002-1112-5912 en_US http://dx.doi.org/10.1209/0295-5075/88/48001 EPL (Europhysics Letters) Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf IOP Publishing arXiv |
| spellingShingle | Bubis, Roy Kantor, Yacov Kardar, Mehran Configurations of polymers attached to probes |
| title | Configurations of polymers attached to probes |
| title_full | Configurations of polymers attached to probes |
| title_fullStr | Configurations of polymers attached to probes |
| title_full_unstemmed | Configurations of polymers attached to probes |
| title_short | Configurations of polymers attached to probes |
| title_sort | configurations of polymers attached to probes |
| url | http://hdl.handle.net/1721.1/88504 https://orcid.org/0000-0002-1112-5912 |
| work_keys_str_mv | AT bubisroy configurationsofpolymersattachedtoprobes AT kantoryacov configurationsofpolymersattachedtoprobes AT kardarmehran configurationsofpolymersattachedtoprobes |