{ "id": "cond-mat/0101128", "version": "v2", "published": "2001-01-10T12:44:15.000Z", "updated": "2001-12-06T12:13:25.000Z", "title": "Reunion of random walkers with a long range interaction: applications to polymers and quantum mechanics", "authors": [ "Sutapa Mukherji", "Somendra M. Bhattacharjee" ], "comment": "Revtex 3.1, 9 pages (two-column format), 3 figures. Published version (PRE 63, 051103 (2001)). Reference corrections incorporated (PRE 64, 059902 (2001) (E)", "journal": "Phys. Rev. E 63, 051103 (2001); 64, 059902 (2001) (E)", "doi": "10.1103/PhysRevE.63.051103", "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "We use renormalization group to calculate the reunion and survival exponents of a set of random walkers interacting with a long range $1/r^2$ and a short range interaction. These exponents are used to study the binding-unbinding transition of polymers and the behavior of several quantum problems.", "revisions": [ { "version": "v2", "updated": "2001-12-06T12:13:25.000Z" } ], "analyses": { "keywords": [ "long range interaction", "random walkers", "quantum mechanics", "applications", "short range interaction" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "RevTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }