{ "id": "cond-mat/0012516", "version": "v2", "published": "2000-12-30T01:52:02.000Z", "updated": "2001-06-01T15:48:54.000Z", "title": "Modified critical correlations close to modulated and rough surfaces", "authors": [ "Andreas Hanke", "Mehran Kardar" ], "comment": "4 pages, 1 figure. Revised version as published in Phys. Rev. Lett. 86, 4596 (2001)", "doi": "10.1103/PhysRevLett.86.4596", "categories": [ "cond-mat.stat-mech" ], "abstract": "Correlation functions are sensitive to the presence of a boundary. Surface modulations give rise to modified near surface correlations, which can be measured by scattering probes. To determine these correlations, we develop a perturbative calculation in deformations in height from a flat surface. The results, combined with a renormalization group around four dimensions, are also used to predict critical behavior near a self-affinely rough surface. We find that a large enough roughness exponent can modify surface critical behavior.", "revisions": [ { "version": "v2", "updated": "2001-06-01T15:48:54.000Z" } ], "analyses": { "keywords": [ "modified critical correlations close", "roughness exponent", "surface modulations", "correlation functions", "self-affinely rough surface" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }