{ "id": "cond-mat/0411209", "version": "v1", "published": "2004-11-09T02:49:02.000Z", "updated": "2004-11-09T02:49:02.000Z", "title": "First-order phase transition of fixed connectivity surfaces", "authors": [ "Hiroshi Koibuchi", "Nobuyuki Kusano", "Atsusi Nidaira", "Komei Suzuki", "Mitsuru Yamada" ], "comment": "6 pages with 7 figures", "journal": "Phys. Rev. E 69, 066139 (2004)", "doi": "10.1103/PhysRevE.69.066139", "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "We report a numerical evidence of the discontinuous transition of a tethered membrane model which is defined within a framework of the membrane elasticity of Helfrich. Two kinds of phantom tethered membrane models are studied via the canonical Monte Carlo simulation on triangulated fixed connectivity surfaces of spherical topology. A surface model is defined by the Gaussian term and the bending energy term, and the other, which is tensionless, is defined by the bending energy term and a hard wall potential. The bending energy is defined by using the normal vector at each vertex. Both of the models undergo the first-order phase transition characterized by a gap of the bending energy. The phase structure of the models depends on the choice of discrete bending energy.", "revisions": [ { "version": "v1", "updated": "2004-11-09T02:49:02.000Z" } ], "analyses": { "keywords": [ "first-order phase transition", "fixed connectivity surfaces", "bending energy term", "hard wall potential", "canonical monte carlo simulation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }