Applications of computational geometry to the molecular simulation of interfaces

dc.creatorUsabiaga, Florencio Balboa
dc.creatorDuque, Daniel
dc.date2009-04-29
dc.date.accessioned2026-07-07T13:09:57Z
dc.date.available2026-07-07T13:09:57Z
dc.descriptionThe identification of the interfacial molecules in fluid-fluid equilibrium is a long-standing problem in the area of simulation. We here propose a new point of view, making use of concepts taken from the field of computational geometry, where the definition of the "shape" of a set of point is a well-known problem. In particular, we employ the $α$-shape construction which, applied to the positions of the molecules, selects a shape and identifies its boundary points, which we will take to define our interfacial molecules. A single parameter needs to be fixed (the "$α$" of the $α$-shape), and several proposals are examined, all leading to very similar choices. Results of this methodology are evaluated against previous proposals, and seen to be reasonable.
dc.description22 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0904.4624
dc.identifierhttp://arxiv.org/abs/0904.4624
dc.identifierPhysical Review E (Vol.79, No.4) 2009
dc.identifierdoi:10.1103/PhysRevE.79.046709
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228913
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleApplications of computational geometry to the molecular simulation of interfaces
dc.typetext

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