2009
DOI: 10.1103/physreve.79.046709
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Applications of computational geometry to the molecular simulation of interfaces

Abstract: The 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 mo… Show more

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Cited by 18 publications
(11 citation statements)
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“…Usually, this implies applying some criteria to decide which atoms belong to the liquid phase, followed by a decision as to which of such atoms lie on the surface (pivot atoms). 15,46,54,56,57 This task cannot be done at atomic scale resolution without some degree of arbitrariness. 57 In this work, we have adopted the ISM, 46 which is quite time-consuming but provides results that are very much consistent with the capillary wave theory.…”
Section: Characterization Of Adsorbed Interfaces Using Computer Simulmentioning
confidence: 99%
“…Usually, this implies applying some criteria to decide which atoms belong to the liquid phase, followed by a decision as to which of such atoms lie on the surface (pivot atoms). 15,46,54,56,57 This task cannot be done at atomic scale resolution without some degree of arbitrariness. 57 In this work, we have adopted the ISM, 46 which is quite time-consuming but provides results that are very much consistent with the capillary wave theory.…”
Section: Characterization Of Adsorbed Interfaces Using Computer Simulmentioning
confidence: 99%
“…The new GITIM method consistently reproduces the results of ITIM in the planar case while retaining the ability to describe arbitrarily shaped surfaces. To the best of our knowledge, the concept of α-shapes has been employed in the determination of intrinsic densities at fluid interfaces only once before, by Usabiaga and Duque, 36 who also noticed the formal similarities between the α-shapes algorithm and ITIM.…”
Section: Introductionmentioning
confidence: 99%
“…[34][35][36][37][38][39][40][41][42][43][44][45] Other typical examples of the utility of the Voronoi construction are the analysis of solvation shells, [46][47][48][49] clustering and chemical association. 36,[50][51][52] The Voronoi construction has also been employed to define the interface between two systems [53][54][55] and to obtain structural information of pure water. 50,[56][57][58][59][60][61][62] and water solutions 36,[63][64][65][66][67][68][69] More closely related with the goals of this work is its application to detect different types of cavities such as pores, pockets, clefts, channels and docking sites.…”
Section: Introductionmentioning
confidence: 99%