{ "id": "math-ph/0405064", "version": "v1", "published": "2004-05-27T13:07:37.000Z", "updated": "2004-05-27T13:07:37.000Z", "title": "Diffraction spectrum of lattice gas models above T_c", "authors": [ "Michael Baake", "Bernd Sing" ], "comment": "9 pages, no figures", "journal": "Lett. Math. Phys. 68, No. 3, 165-173 (2004)", "doi": "10.1023/B:MATH.0000045555.93532.6d", "categories": [ "math-ph", "math.MP" ], "abstract": "The diffraction spectra of lattice gas models on Z^d with finite-range ferromagnetic two-body interaction above T_c or with certain rates of decay of the potential are considered. We show that these diffraction spectra almost surely exist, are Z^d-periodic and consist of a pure point part and an absolutely continuous part with continuous density.", "revisions": [ { "version": "v1", "updated": "2004-05-27T13:07:37.000Z" } ], "analyses": { "subjects": [ "52C07", "42B05", "60D05", "82B20" ], "keywords": [ "lattice gas models", "diffraction spectrum", "finite-range ferromagnetic two-body interaction", "pure point part" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }