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Successful scientific applications of large-scale molecular dynamics often rely on automated methods for identifying the local crystalline structure of condensed phases. Many existing methods for structural identification, such as Common…

Materials Science · Physics 2016-05-24 Peter Mahler Larsen , Søren Schmidt , Jakob Schiøtz

Phonons are usually introduced by choosing a local displacement field. This paper keeps that local description, but identifies the global geometric object represented by it. The aim is not to change the local acoustic equations, but to…

Mathematical Physics · Physics 2026-05-12 Aleksey Prots

Structure-property relationships in ordered materials have long been a core principle in materials design. However, the intentional introduction of disorder into materials provides structural flexibility and thus access to material…

We consider unsupervised learning methods for characterizing the disordered microscopic structure of supercooled liquids and glasses. Specifically, we perform dimensionality reduction of smooth structural descriptors that describe radial…

Statistical Mechanics · Physics 2022-11-24 Daniele Coslovich , Robert L. Jack , Joris Paret

Accurate structural analysis is essential to gain physical knowledge and understanding of atomic-scale processes in materials from atomistic simulations. However, traditional analysis methods often reach their limits when applied to…

Atomistic simulations generate large volumes of noisy structural data, yet extracting phase labels and continuous order parameters (OPs) in a robust and general manner remains challenging. Existing tools are often specialized to a limited…

Materials Science · Physics 2026-05-12 Hyuna Kwon , Babak Sadigh , Sebastien Hamel , Vincenzo Lordi , John Klepeis , Fei Zhou

Structures and properties of many inorganic compounds have been collected historically. However, it only covers a very small portion of possible inorganic crystals, which implies the presence of numerous currently unknown compounds. A…

Materials Science · Physics 2018-04-18 Atsuto Seko , Hiroyuki Hayashi , Isao Tanaka

Since the influential work of ten Wolde, Ruiz-Montero, and Frenkel [Phys. Rev. Lett. 75, 2714 (1995)], crystal nucleation from a Lennard-Jones fluid has been regarded as a paradigmatic example of metastable crystal ordering at the surface…

Soft Condensed Matter · Physics 2024-12-05 Willem Gispen , Alberto Pérez de Alba Ortíz , Marjolein Dijkstra

Machine learning methods are being explored in many areas of science, with the aim of finding solution to problems that evade traditional scientific approaches due to their complexity. In general, an order parameter capable of identifying…

Soft Condensed Matter · Physics 2017-07-18 Adrián Soto , Deyu Lu , Shinjae Yoo , Mariví Fernández-Serra

Exploring structural order in disordered systems including liquids and glasses is an intriguing but challenging issue in condensed matter physics. Here we construct a new parameter based on the angular distribution function of particles and…

Soft Condensed Matter · Physics 2018-06-11 Xiunan Yang , Wei-Hua Wang , Ke Chen

Common Neighbors (CNs) and their higher-order variants are important pairwise features widely used in state-of-the-art link prediction methods. However, existing methods often struggle with the repetition across different orders of CNs and…

Machine Learning · Computer Science 2026-03-10 Juntong Wang , Xiyuan Wang , Muhan Zhang

Crystals are a state of matter characterised by periodic order. Yet crystalline materials can harbour disorder in many guises, such as non-repeating variations in composition, atom displacements, bonding arrangements, molecular…

Materials Science · Physics 2019-12-03 Arkadiy Simonov , Andrew L. Goodwin

Spatial pattern formation in excitable fluctuating media was researched analytically from the point of view of the order parameters concept. The reaction-diffusion system in external noise is considered as a model of such medium. Stochastic…

Pattern Formation and Solitons · Physics 2017-03-16 Svetlana E. Kurushina , Valery V. Maximov , Yuri M. Romanovskii

Due to the lack of long-range order, it remains challenging to characterize the structure of disordered solids and understand the nature of the glass transition. Here we propose a new structural order parameter by taking into account…

Soft Condensed Matter · Physics 2024-08-26 Ding Xu , Qinyi Liao , Ning Xu

Although crystalline solids are characterized by their periodic structures, some are only periodic on average and deviate on a local scale. Distinct local orderings can exist with identical periodic structures making their differences…

Materials Science · Physics 2021-07-02 Nikolaj Roth , Jonas Beyer , Karl F. F. Fischer , Kaiyang Xia , Tiejun Zhu , Bo Brummerstedt Iversen

We present a robust refinement method for estimating oriented normals from unstructured point clouds. In contrast to previous approaches that either suffer from high computational complexity or fail to achieve desirable accuracy, our novel…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Yingrui Wu , Mingyang Zhao , Weize Quan , Jian Shi , Xiaohong Jia , Dong-Ming Yan

Amorphous solids exhibit structural short-range order despite lacking long-range crystalline order, with this structural descriptor found to be important for determining mechanical properties. Nanobeam electron diffraction offers a…

Materials Science · Physics 2026-05-21 Junjie Wu , Timothy J. Rupert

Entropy alone can self-assemble hard particles into colloidal crystals of remarkable complexity whose structures are the same as atomic and molecular crystals, but with larger lattice spacings. Although particle-based molecular simulation…

Soft Condensed Matter · Physics 2021-07-06 Thi Vo , Sharon C. Glotzer

A structural order parameter for disordered configurations is defined, based, not on local topologies, but on the degree of local restraint imposed on each atom. This restraint parameter provides a clear distinction between a strong liquid…

Soft Condensed Matter · Physics 2023-07-26 Gang Sun , Peter Harrowell

We discuss some issues arising in the evaluation of confidence intervals in the presence of nuisance parameters (systematic uncertainties) by means of direct Neyman construction in multi-dimensional space. While this kind of procedure…

Data Analysis, Statistics and Probability · Physics 2017-08-23 Giovanni Punzi