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In this research, we present a Python-based solution designed to simulate a one-dimensional quantum system that incorporates multiple Dirac $\delta -$% potentials. The primary aim of this research is to investigate the scattering problem…

Quantum Physics · Physics 2024-06-04 Erfan Keshavarz , S. Habib Mazharimousavi

The diffraction technique is widely used in the determination of crystal structures and is one of the bases for the modern science and technology. All related structure determination methods are based on the assumption that perfect single…

Materials Science · Physics 2020-08-25 Yihan Shen , Yibin Jiang , Jianhua Lin , Cheng Wang , Junliang Sun

In the theory of resonant scattering, the double differential cross section involves the computation of a multifold integral of a 4-point correlation function, which generalizes the traditional 2-point correlation function of Van-Hove for…

Other Condensed Matter · Physics 2007-09-19 Arnaud Courcelle , John Rowlands

Ejection of atoms from (001) surfaces of a number of real and model single crystals is studied by molecular dynamics computer simulation. Evolution of energy distributions of sputtered atoms with polar and azimuthal angle resolution with…

Materials Science · Physics 2019-12-30 V. N. Samoilov , A. I. Musin

Nano-CT (computerized tomography) has emerged as a non-destructive high-resolution cross-sectional imaging technique to effectively study the sub-$\mu$m pore structure of shale, which is of fundamental importance to the evaluation and…

Image and Video Processing · Electrical Eng. & Systems 2020-01-15 Wei Tang , Meng Li

Multi-parton distribution functions (mPDFs) are non-perturbative objects that are important in the prediction of multiple scattering rates at hadron colliders. In the case where the scales associated with all partons in the mPDF are the…

High Energy Physics - Phenomenology · Physics 2025-10-07 Oleh Fedkevych , Jonathan R. Gaunt , Seonagh Smith

Multi-dimensional distributions of discrete data that resemble ellipsoids arise in numerous areas of science, statistics, and computational geometry. We describe a complete algebraic algorithm to determine the quadratic form specifying the…

Data Analysis, Statistics and Probability · Physics 2020-04-20 Rafey Anwar , Madeline Hamilton , Pavel Nadolsky

Accurately predicting experimentally realizable 3D molecular crystal structures from their 2D chemical graphs is a long-standing open challenge in computational chemistry called crystal structure prediction (CSP). Efficiently solving this…

We present an approach for rapid conformational analysis of semi-flexible liquid crystals. We use a simple graphical user interface (GUI) tool that leverages rules-based methods for efficient generation of bend-angle distributions, offering…

Soft Condensed Matter · Physics 2024-08-29 Jordan L. Hobbs , Calum J. Gibb , Ewan Cruickshank , Rebecca Walker , Richard J. Mandle

A particularly challenging context for dimensionality reduction is multivariate circular data, i.e., data supported on a torus. Such kind of data appears, e.g., in the analysis of various phenomena in ecology and astronomy, as well as in…

Methodology · Statistics 2021-10-12 Pavlos Zoubouloglou , Eduardo García-Portugués , J. S. Marron

Symmetry-adapted distortion modes provide a natural way to describe distorted structures derived from higher-symmetry parent phases. Structural refinements using symmetry-mode amplitudes as fit variables have been used for at least 10 years…

Single-file diffusion refers to the motion in narrow channels of particles which cannot bypass each other. These strong correlations between particles lead to tracer subdiffusion, which has been observed in contexts as varied as transport…

Statistical Mechanics · Physics 2021-12-08 Alexis Poncet , Aurélien Grabsch , Pierre Illien , Olivier Bénichou

We present a precise and complete procedure for processing spectral data observed by the 1-meter New Vacuum Solar Telescope (NVST). The procedure is suitable for both the sit-and-stare and raster-scan spectra. In this work, the geometric…

Solar and Stellar Astrophysics · Physics 2017-10-18 Yunfang Cai , Zhi Xu , Zhenggang Li , Yongyuan Xiang , Yuchao Chen , Yu Fu , Kaifan Ji

Nowadays, massive datasets are typically dispersed across multiple locations, encountering dual challenges of high dimensionality and huge sample size. Therefore, it is necessary to explore sufficient dimension reduction (SDR) methods for…

Methodology · Statistics 2025-09-16 Hongying Li , Minyi Zhu , Yaqi Cao , Xinyi Xu

Big data problems frequently require processing datasets in a streaming fashion, either because all data are available at once but collectively are larger than available memory or because the data intrinsically arrive one data point at a…

Computation · Statistics 2018-08-08 Andrea Giovannucci , Victor Minden , Cengiz Pehlevan , Dmitri B. Chklovskii

It is anticipated that hard double parton scatterings will occur frequently in the collisions of the LHC, producing interesting signals and significant backgrounds to certain single scattering processes. For double scattering processes in…

High Energy Physics - Phenomenology · Physics 2015-03-13 Jonathan R. Gaunt , W. James Stirling

A derivation of the single particle model (SPM) is made from a porous electrode theory model (or Newman model) of half-cell (dis)charge for an electrode composed of uniformly sized spherical electrode particles of a single chemistry. The…

Chemical Physics · Physics 2019-07-23 G. Richardson , I. Korotkin , R. Ranom. M. Castle , J. M. Foster

We present detailed elaboration and first generally applicable linearization routines of the \textit{Parameter Space Concept} (PSC) for determining 1-dimensionally projected structures of $m$ independent scatterers. This crystal…

Computational Physics · Physics 2024-11-14 Muthu Vallinayagam , Melanie Nentwich , Dirk C. Meyer , Matthias Zschornak

Compton scatter tomography is an emerging technique with attractive applications in several fields in imaging such as non-destructive testing and medical scanning. In this paper, we introduce a novel modality in three dimensions with a…

Numerical Analysis · Mathematics 2022-03-18 Javier Cebeiro , Cecilia Tarpau , Marcela Morvidone , Diana Rubio , Mai Nguyen

3D local feature extraction and matching is the basis for solving many tasks in the area of computer vision, such as 3D registration, modeling, recognition and retrieval. However, this process commonly draws into false correspondences, due…

Computer Vision and Pattern Recognition · Computer Science 2019-01-17 Bao Zhao , Xiaobo Chen , Xinyi Le , Juntong Xi