{ "id": "1109.5658", "version": "v2", "published": "2011-09-26T18:09:45.000Z", "updated": "2011-12-13T22:00:30.000Z", "title": "Entropic force of polymers on a cone tip", "authors": [ "Mohammad F. Maghrebi", "Yacov Kantor", "Mehran Kardar" ], "journal": "EPL 96 6 (2011) 66002", "doi": "10.1209/0295-5075/96/66002", "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "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 R_g, the only relevant length scale is the tip-plate (or tip-tip) separation h, and the entropic force is given by F=A kT/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.", "revisions": [ { "version": "v2", "updated": "2011-12-13T22:00:30.000Z" } ], "analyses": { "keywords": [ "entropic force", "cone tip", "relevant length scale", "polymer radius", "entropy loss" ], "tags": [ "journal article" ], "publication": { "journal": "EPL (Europhysics Letters)", "year": 2011, "month": "Dec", "volume": 96, "number": 6, "pages": 66002 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011EL.....9666002M" } } }