2018
DOI: 10.1103/physrevb.97.064105
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Local-order metric for condensed-phase environments

Abstract: We introduce a local order metric (LOM) that measures the degree of order in the neighborhood of an atomic or molecular site in a condensed medium. The LOM maximizes the overlap between the spatial distribution of sites belonging to that neighborhood and the corresponding distribution in a suitable reference system. The LOM takes a value tending to zero for completely disordered environments and tending to one for environments that match perfectly the reference. The site averaged LOM and its standard deviation… Show more

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Cited by 50 publications
(51 citation statements)
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“…Specifically, by using the LOM developed in Ref. [34], we searched for locally ordered crystalline domains composed by the first and/or second shell of neigh-bors in the amorphous ices formed during the Ih-to-HDA and the LDA-to-HDA pressure-induced transformations. Our results confirm that LDA and HDA are indeed amorphous, i.e., they lack of polydispersed ice-like structures.…”
Section: Discussionmentioning
confidence: 99%
“…Specifically, by using the LOM developed in Ref. [34], we searched for locally ordered crystalline domains composed by the first and/or second shell of neigh-bors in the amorphous ices formed during the Ih-to-HDA and the LDA-to-HDA pressure-induced transformations. Our results confirm that LDA and HDA are indeed amorphous, i.e., they lack of polydispersed ice-like structures.…”
Section: Discussionmentioning
confidence: 99%
“…More and more simulations nucleate and grow crystals, even highly complex ones, directly from the melt [2][3][4][5][6][7][8] . Bond orientational order parameters 9 and related approaches [10][11][12][13][14][15][16] reliably detect the presence of global and local order and identify a few simple crystals, including face-centered cubic, hexagonal close-packed, and body-centered cubic [17][18][19][20][21] . A more general structure characterization requires local fingerprints 22,23 that are fed into machine learning algorithm [24][25][26][27][28][29] .…”
Section: Introductionmentioning
confidence: 99%
“…However, the CVs suitable to this task are often designed for specific classes of structural transformations (Lechner and Dellago 2008;Martoňák et al 2003;Giberti et al 2015;Haji-Akbari and Debenedetti 2015): no general CV scheme was proved successful for a wide class of different problems, in particular those involving disordered systems. Recently, on the other hand, several distance metrics have been developed with the aim of distinguishing and classifying structures of molecular or extended systems, based on atomic environment and/or interatomic networks (Valle and Oganov 2010;Gallet and Pietrucci 2013;Pietrucci and Martoňák 2015;Pietrucci and Saitta 2015;Zhu et al 2016;De et al 2016;Piaggi and Parrinello 2017;Martelli et al 2018;Barthel et al 2018). In this context, an important question is whether a given metric is able, besides classifying locally stable structures, to also track dynamical transitions in a continuous and accurate way.…”
Section: The Difficult Case Of Water Poly(a)morphism: a Simple Metricmentioning
confidence: 99%