{ "id": "1108.1225", "version": "v2", "published": "2011-08-04T22:29:01.000Z", "updated": "2011-08-08T21:14:46.000Z", "title": "Statistical Mechanics of the Anomalous Behavior of Tetrahedral Liquids", "authors": [ "Itamar Procaccia", "Ido Regev" ], "categories": [ "cond-mat.stat-mech", "physics.chem-ph" ], "abstract": "Tetrahedral liquids such as water and silica-melt show unusual thermodynamic behavior such as a density maximum and an increase in specific-heat when cooled to low temperatures. There is a debate in the literature whether these phenomena stem from a phase transition into a low-density and high-density liquid phases, which occur in the supercooled regime. Here we consider a model of tetrahedral liquids for which we construct a volume-constrained statistical mechanical theory which quantifies the local structure of the liquid. We compare the theory to molecular dynamics simulations and show that the theory can rationalize the simulations semi-quantitatively. We show that the anomalous density and specific heat behavior arise naturally from this theory without exhibiting a liquid-liquid phase-transition. We explain that this theory may or may not have a phase transition, depending on the volume and temperature dependence of the energy and entropy which are sensitive to small changes in the parameters of the model.", "revisions": [ { "version": "v2", "updated": "2011-08-08T21:14:46.000Z" } ], "analyses": { "keywords": [ "tetrahedral liquids", "anomalous behavior", "statistical mechanics", "specific heat behavior arise", "phase transition" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1108.1225P" } } }