{ "id": "cond-mat/9807416", "version": "v1", "published": "1998-07-31T11:51:25.000Z", "updated": "1998-07-31T11:51:25.000Z", "title": "First-order phase transition in $1d$ Potts model with long-range interactions", "authors": [ "K. Uzelac", "Z. Glumac" ], "comment": "10 pages, 3 figures", "journal": "FIZIKA B 6 (1997), 3, 133-139", "categories": [ "cond-mat.stat-mech" ], "abstract": "The first-order phase transition in the one-dimensional $q$-state Potts model with long-range interactions decaying with distance as $1/r^{1+\\sigma}$ has been studied by Monte Carlo numerical simulations for $0 < \\sigma \\le 1$ and integer values of $q > 2$. On the basis of finite-size scaling analysis of interface free energy $\\Delta F_L$, specific heat and Binder's fourth order cumulant, we obtain the first-order transition which occurs for $\\sigma$ below a threshold value $\\sigma_c(q)$.", "revisions": [ { "version": "v1", "updated": "1998-07-31T11:51:25.000Z" } ], "analyses": { "keywords": [ "first-order phase transition", "long-range interactions", "binders fourth order cumulant", "state potts model", "monte carlo numerical simulations" ], "tags": [ "journal article" ], "publication": { "journal": "Fizika B", "year": 1997, "volume": 6, "number": 1, "pages": 133 }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1997FizB....6..133U" } } }