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Extracting relevant information from atomistic simulations relies on a complete and accurate characterization of atomistic configurations. We present a framework for characterizing atomistic configurations in terms of a complete and…

Applied Physics · Physics 2024-02-07 Edward M. Kober , Jacob P. Tavenner , Colin M. Adams , Nithin Mathew

The ability of Anisotropic Minkowski Functionals (AMFs) to capture local anisotropy while evaluating topological properties of the underlying gray-level structures has been previously demonstrated. We evaluate the ability of this approach…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 Mahesh B. Nagarajan , Titas De , Eva-Maria Lochmueller , Felix Eckstein , Axel Wismueller

Atomistic simulations have become a powerful tool in materials research due to the extremely fine spatial and temporal resolution provided by such techniques. In order to understand the fundamental principles which govern material behavior…

Materials Science · Physics 2014-08-26 Jason F. Panzarino , Timothy J. Rupert

Some new unusual physical phenomena and effects associated with dielectric mesoscale particles with Mie size parameter near 10 were studied and have been discovered during the last decade. In this paper, we propose nanoholes structured…

Optics · Physics 2023-05-16 Oleg V. Minin , Song Zhou , Yinghui Cao , Pavel Baranov , Igor V. Minin

Aluminum alloys are increasingly utilized as lightweight materials in the automobile industry due to their superior capability in withstanding high mechanical loads. A significant challenge impeding the large-scale use of these alloys in…

Computational Engineering, Finance, and Science · Computer Science 2022-03-31 Shiguang Deng , Carl Soderhjelm , Diran Apelian , Ramin Bostanabad

The structures, as building-blocks for designing functional nanomaterials, have fueled the development of versatile nanoprobes to understand local structures of noncrystalline specimens. Progresses in analyzing structures of individual…

Structure of cold dense matter at subnuclear densities is investigated by quantum molecular dynamics (QMD) simulations. We succeeded in showing that the phases with slab-like and rod-like nuclei etc. can be formed dynamically from hot…

Nuclear Theory · Physics 2007-05-23 Gentaro Watanabe , Katsuhiko Sato , Kenji Yasuoka , Toshikazu Ebisuzaki

A spatial stochastic model is developed which describes the 3D nanomorphology of composite materials, being blends of two different (organic and inorganic) solid phases. Such materials are used, for example, in photoactive layers of hybrid…

Characterizing microstructure-material-property relations calls for software tools which extract point-cloud- and continuum-scale-based representations of microstructural objects. Application examples include atom probe, electron, and…

Scanning probe microscopy is one of the most versatile windows into the nanoworld, providing imaging access to a variety of sample properties, depending on the probe employed. Tunneling probes map electronic properties of samples, magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 Thomas Häberle , Dominik Schmid-Lorch , Friedemann Reinhard , Jörg Wrachtrup

Minkowski tensors, also known as tensor valuations, provide robust $n$-point information for a wide range of random spatial structures. Local estimators for point clouds, e.g., representing voxelized data, however, are unavoidably biased…

Statistics Theory · Mathematics 2026-04-06 Daniel Hug , Michael A. Klatt , Dominik Pabst

Functionality of living cells is inherently linked to subunits with dimensions on the nanoscale. In case of osteoblasts the cell surface plays a particularly important role for adhesion and spreading which are crucial properties with regard…

Biological Physics · Physics 2020-11-30 C. Voelkner , M. Wendt , R. Lange , M. Ulbrich , M. Gruening , S. Staehlke , J. B. Nebe , I. Barke , S. Speller

The Minkowski functionals are useful statistics to quantify the morphology of various random fields. They have been applied to numerous analyses of geometrical patterns, including various types of cosmic fields, morphological image…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 Takahiko Matsubara , Satoshi Kuriki

In this study, we explore the potential of utilizing the four Minkowski functionals, which can fully describe the morphological properties of the large-scale structures, as a robust tool for investigating the modified gravity, particularly…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-20 Aoxiang Jiang , Wei Liu , Baojiu Li , Cristian Barrera-Hinojosa , Yufei Zhang , Wenjuan Fang

Shape analysis and classification are popular methods for biologists, biophysicists and mathematicians investigating relationships between object function and form. Classic shape descriptors, such as sphericity, can be powerful but may be…

Quantitative Methods · Quantitative Biology 2025-02-21 Allyson Quinn Ryan , Johannes Soltwedel , Carl D. Modes

Topology and machine learning are two actively researched topics not only in condensed matter physics, but also in data science. Here, we propose the use of topological data analysis in unsupervised learning of the topological phase…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Sungjoon Park , Yoonseok Hwang , Bohm-Jung Yang

We apply the Minkowski Tensor statistics to two dimensional slices of the three dimensional density field. The Minkowski Tensors are a set of functions that are sensitive to directionally dependent signals in the data, and furthermore can…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-23 Stephen Appleby , Pravabati Chingangbam , Changbom Park , Sungwook E. Hong , Juhan Kim , Vidhya Ganesan

Accurately measuring the size, morphology, and structure of nanoparticles is very important, because they are strongly dependent on their properties for many applications. In this paper, we present a deep-learning based method for…

Materials Science · Physics 2022-07-29 Claudius Zelenka , Marius Kamp , Kolja Strohm , Akram Kadoura , Jacob Johny , Reinhard Koch , Lorenz Kienle

This paper presents a method for extraction and analysis of curve--type structures which consist of disconnected components. Such structures are found in electron--microscopy (EM) images of metal nanograins, which are widely used in the…

Graphics · Computer Science 2013-12-02 P. Spurek , A. Chaikouskaya , J. Tabor , E. Zając

We present a machine learning based model that can predict the electronic structure of quasi-one-dimensional materials while they are subjected to deformation modes such as torsion and extension/compression. The technique described here…

Materials Science · Physics 2022-06-01 Shashank Pathrudkar , Hsuan Ming Yu , Susanta Ghosh , Amartya S. Banerjee