Entropic force of polymers on a cone tip
We consider polymers attached to the tip of a cone, and the resulting force due to entropy loss on approaching a plate (or another cone). At separations shorter than the polymer radius of gyration Rg, the only relevant length scale is the tip-plate (or tip-tip) separation h, and the entropic force i...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
IOP Publishing
2013
|
| Online Access: | http://hdl.handle.net/1721.1/76595 https://orcid.org/0000-0002-1112-5912 |
| _version_ | 1826207450178519040 |
|---|---|
| author | Faghfoor Maghrebi, Mohammad Kantor, Yacov Kardar, Mehran |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Faghfoor Maghrebi, Mohammad Kantor, Yacov Kardar, Mehran |
| author_sort | Faghfoor Maghrebi, Mohammad |
| collection | MIT |
| description | We consider polymers attached to the tip of a cone, and the resulting force due to entropy loss on approaching a plate (or another cone). At separations shorter than the polymer radius of gyration Rg, the only relevant length scale is the tip-plate (or tip-tip) separation h, and the entropic force is given by F=Ak[subscript B]T/h. The universal amplitude A can be related to (geometry dependent) correlation exponents of long polymers. We compute A for phantom polymers, and for self-avoiding (including star) polymers by epsilon-expansion, as well as by numerical simulations in 3 dimensions. |
| first_indexed | 2024-09-23T13:50:08Z |
| format | Article |
| id | mit-1721.1/76595 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:50:08Z |
| publishDate | 2013 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/765952022-10-01T17:23:53Z Entropic force of polymers on a cone tip Faghfoor Maghrebi, Mohammad Kantor, Yacov Kardar, Mehran Massachusetts Institute of Technology. Department of Physics Faghfoor Maghrebi, Mohammad Kardar, Mehran We consider polymers attached to the tip of a cone, and the resulting force due to entropy loss on approaching a plate (or another cone). At separations shorter than the polymer radius of gyration Rg, the only relevant length scale is the tip-plate (or tip-tip) separation h, and the entropic force is given by F=Ak[subscript B]T/h. The universal amplitude A can be related to (geometry dependent) correlation exponents of long polymers. We compute A for phantom polymers, and for self-avoiding (including star) polymers by epsilon-expansion, as well as by numerical simulations in 3 dimensions. National Science Foundation (U.S.) (Grant DMR-08-03315) National Science Foundation (U.S.) (Grant PHY05-51164) 2013-01-24T17:08:11Z 2013-01-24T17:08:11Z 2011-12 2011-09 Article http://purl.org/eprint/type/JournalArticle 0295-5075 1286-4854 http://hdl.handle.net/1721.1/76595 Maghrebi, Mohammad F., Yacov Kantor, and Mehran Kardar. “Entropic Force of Polymers on a Cone Tip.” EPL (Europhysics Letters) 96.6 (2011): 66002. https://orcid.org/0000-0002-1112-5912 en_US http://dx.doi.org/10.1209/0295-5075/96/66002 Europhysics Letters Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf IOP Publishing arXiv |
| spellingShingle | Faghfoor Maghrebi, Mohammad Kantor, Yacov Kardar, Mehran Entropic force of polymers on a cone tip |
| title | Entropic force of polymers on a cone tip |
| title_full | Entropic force of polymers on a cone tip |
| title_fullStr | Entropic force of polymers on a cone tip |
| title_full_unstemmed | Entropic force of polymers on a cone tip |
| title_short | Entropic force of polymers on a cone tip |
| title_sort | entropic force of polymers on a cone tip |
| url | http://hdl.handle.net/1721.1/76595 https://orcid.org/0000-0002-1112-5912 |
| work_keys_str_mv | AT faghfoormaghrebimohammad entropicforceofpolymersonaconetip AT kantoryacov entropicforceofpolymersonaconetip AT kardarmehran entropicforceofpolymersonaconetip |